One of the primary goals of constructing a frequency distribution for quantitative data is to summarize:___________
Answers
One of the main goals of making a frequency distribution for quantitative data is to summarize the data in a way that properly depicts data as a whole.
A frequency distribution is a representation of the number of times each value or range of values appears in a set of data. By constructing a frequency distribution, we can get a better understanding of the distribution of values and the overall pattern of the data. This information can help us identify any outliers, the center or average of the data, and the spread or variability of the data.
Additionally, a frequency distribution allows us to compare different sets of data and make informed decisions based on the information presented. For example, if we compare the frequency distributions of two groups, we can determine if there are any significant differences between the two groups. This can be useful in various fields such as market research, psychology, and medicine.
In summary, the goal of constructing a frequency distribution is to summarize the information contained within the data and gain a better understanding of the distribution of values. This information can be used to make informed decisions and compare different sets of data.
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Related Questions
Suppose that tan 0=-5/12 and 90° <0<180°.
Find the exact values of sin
0/2 and
tan
O/2
Answers
The exact values of sin θ/2 and tan θ/2 given below as:
sin θ/2 = 0.9806tan θ/2 = 4.99What is the exact values of sin θ/2 and tan θ/2 given that tan θ = -5/12?Given that tan θ = -5/12 and θ lies between 90° and 180°, the values of sin θ/2 and tan θ/2 can be found as follows:
tan θ = -5/12
θ = 180 -tan⁻¹-(5/12)
θ = 157.38
sin θ/2 = sin 157.38/2
sin θ/2 = 0.9806
tan θ/2 = tan 157.38/2
tan θ/2 = 4.99
In conclusion, the values of the sine and tangent are found from the given values.
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There are 128 teams in a softball tournament. In each
round, half of the teams are eliminated. Which function
can be used to find the number of teams remaining in
the tournament after x rounds?
Answers
We can say that function (C) y = 128(0.5)ˣ will help us to determine the number of teams remaining after x number of rounds.
What are functions?A relation between a collection of inputs and outputs is known as a function.
A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.
Each function has a range, codomain, and domain.
The usual way to refer to a function is as f(x), where x is the input.
One function, many. function onto (Surjective Function) into perform.
The function of a polynomial.
So, by observation we can find out the function:
y = 128(0.5)ˣ
Assume the teams after 1st round:
y = 128(0.5)ˣ
y = 128(0.5)¹
y = 128*0.5
y = 64 (Half od 128)
Therefore, we can say that function (C) y = 128(0.5)ˣ will help us to determine the number of teams remaining after x number of rounds.
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Mr. A sold his land to Mr.B at a profit of 10%. Mr.B. sold it to Mr.C at a gain of 5%. Mr.C.paid N1240 more for the house than Mr. A paid. What did Mr. A paid.
Answers
Answer:
Mr. A initially paid approximately N8000 for the land.
Step-by-step explanation:
Step 1: Let's assume Mr. A initially purchased the land for a certain amount, which we'll call "x" in currency units.
Step 2: Mr. A sold the land to Mr. B at a profit of 10%. This means Mr. A sold the land for 110% of the amount he paid (1 + 10/100 = 1.10). Therefore, Mr. A received 1.10x currency units from Mr. B.
Step 3: Mr. B sold the land to Mr. C at a gain of 5%. This means Mr. B sold the land for 105% of the amount he paid (1 + 5/100 = 1.05). Therefore, Mr. B received 1.05 * (1.10x) currency units from Mr. C.
Step 4: According to the given information, Mr. C paid N1240 more for the land than Mr. A paid. This means the difference between what Mr. C paid and what Mr. A paid is N1240. So we have the equation: 1.05 * (1.10x) - x = N1240
Step 5: Simplifying the equation: 1.155x - x = N1240
Step 6: Solving for x: 0.155x = N1240
x = N1240 / 0.155
x ≈ N8000
Therefore, in conclusion, Mr. A initially paid approximately N8000 for the land.
The product of two consecutive positive integers is 56. Find the two integers
Answers
Answer:
Two consecutive integers are of the form
x and x + 1
Their product is equal to 56
x(x + 1) = 56
Solve and find the two numbers x and x + 1. The above equation may be written as follows
x2 + x - 56 = 0
Factor and solve
(x - 7)(x + 8) = 0
solutions: x = 7 , x = -8
x= - 8 is not valid since the number sought must be positive. Hence
x = 7 and x + 1 = 8 are the two consecutive numbers.
Step-by-step explanation:
A room is 4m 25cm long and 3m 75cm broad. Find the area of carpet needed to cover the floor in sq. m
Answers
Answer:
15.9375 sq m
Step-by-step explanation:
First convert to meters
4 m 25 cm = 4.25 m
3m 75 cm = 3.75 m
Then multiply 4.25 * 3.75 = 15.9375
A dog has a litter of three male pups and
five female pups. What percent of the pups
in the litter are male?
Answers
Answer:
3 is 37.5% of 8 so the answer is about 37%
Step-by-step explanation:
Answer:
37.5%
Step-by-step explanation:
Three male and five female.
So, we need to find out the mall.
We can divide this out of 8.
3/8 and 5/8.
Male - 37.5%
Female - 62.5%
find the least common denominator and write the equivalent fractions 3/8 and 3/10
Answers
Answer:
LCD of 3/8 and 3/10 is 40. The Equivalent fractions are 3/8 = 15/40 and 3/10 = 12/40 hope this helps :)
Step-by-step explanation:
The graphs of y=f(x) and g(x) are shown below: a: -5 and 6 b: 4 and 7 c: -3,-1, and 4 d: -3,1,3 and 5
Answers
In a production line of a pharmaceutical company, 10g pills are made, one of
plant managers (head 1) state that the mean weight of the pills is 10g with a deviation
of 0.3g. On a visit to the plant, one of the company's managers selects 1 pill at random.
and weighs it, giving as a measurement 9.25g, the manager informs of this novelty since he believes that there is
a serious problem with the weight of the pills because valuesbelow 9.25g and above
of 10.75g are very rare.
a) With this information, what is the probability that the plant manager's statement (head 1)
be rejected when this is true?
b) Another of the plant managers (head 2) assures that due to adjustments in the production line the
average pill weight has decreased. The following hypothesis test is performed:
0: = . 1: < 10
And the following set is defined as its critical region:
= {(1 2…n) n|(1+2+⋯+n) / < }
Agreement has been reached that the test has a significance level of 0.05 and that the Power
of the Test is 95% when the true mean is 9.75g. Find the valuesof and that
satisfy these conditions
Please answer step by step and include the formulas use
Answers
a) The probability of observing a value as extreme or more extreme than 9.25g when the true mean is 10g.
b) To find the values of alpha (α) and beta (β) that satisfy the conditions of a significance level of 0.05 and a power of 95% for the hypothesis test comparing the true mean to a specified value, we can use the standard normal distribution.
a) To calculate the probability of rejecting the plant manager's statement when it is true, we need to find the z-score for the measurement of 9.25g using the formula:
z = (x - μ) / σ
where x is the observed measurement, μ is the stated mean, and σ is the stated deviation. Plugging in the values, we get:
z = (9.25 - 10) / 0.3
z ≈ -2.5
Using a standard normal distribution table or calculator, we can find the probability associated with a z-score of -2.5, which represents the probability of observing a value as extreme or more extreme than 9.25g when the true mean is 10g.
b) To find the values of α and β, we need to consider the significance level and power of the test. The significance level α is the probability of rejecting the null hypothesis when it is true, and the power β is the probability of correctly rejecting the null hypothesis when it is false.
Given that the significance level is 0.05, we can find the critical value zα/2 associated with a two-tailed test. Using a standard normal distribution table or calculator, we find zα/2 ≈ ±1.96.
To find β, we need to calculate the corresponding z-value for the power of 95%. Rearranging the formula for power, we get:
β = 1 - Φ(z + (zα/2))
Solving for z, we have
z ≈ Φ^(-1)(1 - β) - zα/2
Substituting the values of α, β, and zα/2, we can calculate the z-value that satisfies the given conditions.
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Rosanne earned $5 for 1/2 of an hour of babysitting. At this rate, how much would Rosanne make in 1 hour?
Answers
the date on which the loan amount is to be fully paid is called
Answers
The date on which the loan amount is to be fully paid is called the maturity date.
The maturity date is an essential component of a loan agreement, particularly for loans with a fixed repayment schedule. It represents the deadline by which the borrower is required to repay the entire loan amount, including any interest and fees.
When a loan is taken out, the lender and borrower agree upon the terms and conditions, including the repayment schedule. The maturity date is determined based on these terms, specifying the duration over which the borrower is expected to make regular payments.
For example, in a mortgage loan, the maturity date could be set for 30 years from the loan origination date. This means that the borrower has 30 years to repay the loan in full, either through monthly installments or other agreed-upon payment arrangements.
The maturity date is important for both the lender and the borrower as it establishes a clear timeline for the loan repayment. It helps ensure that the borrower understands the duration of the financial obligation and allows the lender to plan their cash flows and monitor the progress of the loan repayment.
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Let f(x) be the probability density function for a normal distribution N(68,5). Answer the following: (a) At what x value does f(x) reach a maximum? Maximum height: x (b)Does f(x) touch the x-axis at μ±30 ? No Yes
Answers
The probability density function for a normal distribution N(68, 5) reaches its maximum height at x = 68, which is the mean of the distribution. The function does not touch the x-axis at μ±30.
The probability density function (PDF) for a normal distribution is bell-shaped and symmetrical around its mean. In this case, the mean (μ) is 68, and the standard deviation (σ) is 5.
(a) To find the x value at which the PDF reaches a maximum, we look at the mean of the distribution, which is 68. The PDF is highest at the mean, and as we move away from the mean in either direction, the height of the PDF decreases. Therefore, the x value at which f(x) reaches a maximum is x = 68.
(b) The PDF of a normal distribution does not touch the x-axis at μ±30. The x-axis represents the values of x, and the PDF represents the likelihood of those values occurring. In a normal distribution, the PDF is continuous and never touches the x-axis. However, the PDF becomes close to zero as the values move further away from the mean. Therefore, the probability of obtaining values μ±30, which are 38 and 98 in this case, is very low but not zero. So, the PDF does not touch the x-axis at μ±30, but the probability of obtaining values in that range is extremely small.
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Please explain the question.
Answers
can someone please help
5(1+2m)=1/2(8+20m)
Answers
Answer:
no solutions
Step-by-step explanation:
5(1+2m)=1/2(8+20m)
5+10m = 4+10m
10m-10m= 4-5
No solutions
Which set of ordered pairs represents a function?
{(-9,7), (1,7), (-1, -8), (8,3)}
{(-2, -3), (-2,4), (5,-5),(-1,4)}
{(-3,3), (-7, -2), (-7, -9), (-5,6)}
{(9,6), (8,2), (-8,5), (-8,8)}
Answers
Answer: C and D
Step-by-step explanation:
Annapurna suppliers sold construction materials of
Rs. 4,40,000 to Angel suppliers making 10% profit
and adding 13% VAT. Angel suppliers spent Rs. 5,000
for transportation cost and made 10% profit on the
purchased price excluding VAT and levied local tax Rs.
2500 and sold to constructor. What VAT amount should
be paid by the constructor?"
Ans: Rs. 70187
Answers
First, we need to find the price that Angel suppliers paid for the construction materials, including the profit made by Annapurna suppliers and the VAT.
The price that Annapurna suppliers sold the materials for was Rs. 4,40,000 + Rs. 4,40,000 * 10% = Rs. 4,84,000.
The VAT that Annapurna suppliers added was Rs. 4,84,000 * 13% = Rs. 62,820.
So, the total price that Angel suppliers paid was Rs. 4,84,000 + Rs. 62,820 = Rs. 5,46,820.
Next, we need to find the price that the constructor paid for the materials, including the profit made by Angel suppliers, the transportation cost, the local tax, and the VAT.
The profit that Angel suppliers made was Rs. 5,46,820 * 10% = Rs. 54,682.
The total price that the constructor paid was Rs. 5,46,820 + Rs. 54,682 + Rs. 5,000 + Rs. 2,500 = Rs. 6,58,002.
The VAT that the constructor should pay is Rs. 6,58,002 * 13% = Rs. 70187.
Therefore, the answer is Rs. 70187.
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which threat to internal validity is never relevant to a repeated-measures design? group of answer choices selection maturation history regression to the mean
Answers
The history threat is never relevant to a repeated-measures design.
The threat to internal validity that is never relevant to a repeated-measures design is the history threat.
In a repeated-measures design, the same participants are measured multiple times under different conditions or treatments. This design eliminates the need for random assignment of participants to different groups, as each participant serves as their own control.
The history threat refers to external events or influences that occur during the course of an experiment and can affect the results. For example, if a study on the effects of a new teaching method is conducted over a semester, a history threat could be the introduction of a new curriculum that all students receive halfway through the study. This external event could confound the results and make it difficult to determine if the observed changes are due to the teaching method or the new curriculum.
However, in a repeated-measures design, the participants serve as their own control, and any external events or influences that occur will affect all conditions or treatments equally. This means that any history threat is the same across all measurements, making it irrelevant to the design.
Therefore, the history threat is never relevant to a repeated-measures design.
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WIL L GIVE BRAINLIST NEED QUICK
The area of a circular swimming pool is 530.66 feet squared. What is the circumference of the pool?
Answers
Answer:
circumference of pool=81.67
Step-by-step explanation:
A red cross helicopter takes off from headquarters and flies 120 km at 45 degrees south of west. There it drops off some relief supplies, then flies 125 km at 20 degrees west of north to pick up three medics. If the helicoper then heads directly back to headquarters, find the distance and direction it should fly.
Answers
Answer:
129.5km
9.78° North of east
Step-by-step explanation:
Let say HQ is at the origin (x = 0, y = 0)
the coordinates of the helicopter after the 1st flight can be expressed below as
X1= -120 cos45=84.85km
Y1= -120 sin45= -84.85km
its coordinate after the 2nd flight can be expressed as
X2= x1 - 125sin20
= -84.85-42.75
=-127.6km
Y2= y1- 125cos60
=-84.5+62.5
=-22km
The distance and it's direction for it to fly back to its HQ can be calculated as
S= √(22^2 + 127.6^2 )
=129.48km
Tan θ= y2/y1
=22/127.6= 0.1724
Tan-1(0.1724)
= 9.78° North of east
Hence, the distance and direction it should fly is 129.48km and 9.78° North of east respectively
-11 2/3 × ( -4 1/5 )=
Answers
Solving Steps
HELPPPPPP PLEASEEEE!!!!!
Answers
Answer:
DE = 34
AC = 68
Step-by-step explanation:
since DE are midpoints, you can create this equation: 2(8x + 2) = 20x - 12
solve:
16x + 4 = 20x - 12
16x + 16 = 20x
16 = 4x
4 = x
plug this into both equations to find each side:
DE: 8(4) + 2 = 34
AC: 20(4) - 12 = 68
we know our answer is right because AC is twice as long as DE
which fraction is equvalent to 2/6?
Answers
Explanation: there’s numerous equivalent fractions to 2/6 because all you have to do is multiply both the numerator and denominator by whatever number.
Answer:
2/2=1
6/2=3
2/2=1 so the fractions are equivalent
2/6 = 1/3
Hope this helps
Step-by-step explanation:
Melissa has two chickens. Chicken A produces 3 eggs every 2 days. Chicken B produces 5 eggs every 3 days. In each case, the number of eggs produced is proportional to the number of days. What is the constant of proportionality for each chicken? Round your answers to the nearest hundredth if necessary.
Answers
Proportionality constant for chicken B is greater. The proportionality constant for chicken A is 1.5 and that of chicken B is 1.67.
Chicken A produces 3 eggs every 2 days.
Chicken B produces 5 eggs every 3 days.
Let k₁ and k₂ be the constant of proportionality for chicken A and chicken B respectively.
According to question,
For chicken A, 3 eggs in 2 days
3 = k₁ 2
k₁ = 1.5
For chicken B, 5 eggs in 3 days
5 = k₂ 3
k₂ = 5/3 = 1.66
Thus, Proportionality constant for chicken B is greater. The proportionality constant for chicken A is 1.5 and that of chicken B is 1.67.
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What is the answer to this please?
Answers
Answer:
The answer is A
Find the sum of the following series:
Answers
Answer:
The sum is 2635
Step-by-step explanation:
I did this problem
In a class of 30 students, 7 play an instrument and 19 play a sport. There are 4 students who play an instrument and also play a sport. What is the probability that a student chosen randomly from the class plays an instrument?
Answers
Answer:
1/20
Step-by-step explanation:
Answer:
7/30
Step-by-step explanation:
How do I find the 8th term
Answers
Answer:
Step-by-step explanation:
the first time you add 10, the second time you add 20, the third time you add 40, and you keep doubling up to the eighth time
15 + 10 = 2525 + 20 = 4545 + 40 = 8585 + 80 = 165165 + 160 = 325325 + 320 = 645645 + 640 = 12851285T/F. a vector b inrm is in the range of t if and only if ax=b has a solution
Answers
The statement "a vector b in R^m is in the range of matrix A if and only if the equation Ax = b has a solution" is true.
The range of a matrix A, also known as the column space of A, consists of all possible linear combinations of the columns of A. If a vector b is in the range of A, it means that there exists a vector x such that Ax = b. This is because the range of A precisely represents all the possible outputs that can be obtained by multiplying A with a vector x.
Conversely, if the equation Ax = b has a solution, it means that b is in the range of A. The existence of a solution x guarantees that the vector b can be obtained as an output by multiplying A with x.
Therefore, the statement is true: a vector b in R^m is in the range of matrix A if and only if the equation Ax = b has a solution.
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THE PROBLEM:
Kip had to renew his license and while sitting at the DMV he surveyed everyone else there, asking them their age. The data turned out to have normal distribution, the mean age was 41, and the standard deviation was 5.
1. On paper, make a bell curve with the appropriate values listed on the axis below. Show your teacher.
2. What % of people were below 31 years old?
3. What % of people were above 31 years old?
4. What % of people were between 41 and 46?
5. About what % of people were older than Kip (he's 38 years old)?
Answers
Answer:
1. To make a bell curve (a normal distribution) with a mean of 41 and a standard deviation of 5, we can use the following values on the x-axis:
x = 21, 26, 31, 36, 41, 46, 51, 56, 61
These values are symmetric around the mean of 41, and each value is one standard deviation away from the mean.
On the y-axis, we can mark the percentage of people in each interval, which is calculated using the area under the curve. The total area under the curve is 100%.
2. To find the percentage of people who were below 31 years old, we need to calculate the area under the curve to the left of x = 31. Using a standard normal distribution table or calculator, we can find this area to be approximately 0.0228, or 2.28%.
So, about 2.28% of people were below 31 years old.
3. To find the percentage of people who were above 31 years old, we can subtract the percentage of people below 31 years old from 100%.
100% - 2.28% = 97.72%
So, about 97.72% of people were above 31 years old.
4. To find the percentage of people between 41 and 46 years old, we need to calculate the area under the curve between x = 41 and x = 46. Using a standard normal distribution table or calculator, we can find this area to be approximately 0.3413, or 34.13%.
So, about 34.13% of people were between 41 and 46 years old.
5. To find the percentage of people older than Kip (who is 38 years old), we need to calculate the area under the curve to the right of x = 38. Using a standard normal distribution table or calculator, we can find this area to be approximately 0.6306, or 63.06%.
So, about 63.06% of people were older than Kip.
Step-by-step explanation:
Desribe how spread out the distribution is based on the standard deviation
mean median standard deviatiı min Q1 median Q3 max
532.4920635
515
250.8442942
130
330
515
670
1240
Answers
The data has a moderate spread, with a mean of 532.492 and a standard deviation of 250.844. The values range from 130 to 1240, with a median of 515.
The standard deviation is a measure of how spread out the data points are from the mean. In this case, the standard deviation of 250.844 suggests a moderate level of dispersion. The mean value of 532.492 indicates the average of the data set. The median value of 515 represents the middle value when the data is arranged in ascending order. The minimum value of 130 and the maximum value of 1240 show the range of the data set. The first quartile (Q1) at 330 and the third quartile (Q3) at 670 indicate the values that divide the data into four equal parts. Overall, the data set exhibits some variability around the mean, with values ranging from 130 to 1240.
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