Free Printable Measures of Variation Review WS #2

1.

What is the symbol for population size?

a)

$N$

b)

$n$

c)

$\overline{x}$

d)

$\mu$

2.

What is the symbol for sample size?

a)

$N$

b)

$n$

c)

$\overline{x}$

d)

$\mu$

3.

What is the symbol for population mean?

a)

$N$

b)

$n$

c)

$\overline{x}$

d)

$\mu$

4.

What is the symbol for sample mean?

a)

$N$

b)

$n$

c)

$\overline{x}$

d)

$\mu$

5.

What is the symbol for population variance?

a)

$\sigma^2$

b)

$\sigma$

c)

$s^2$

d)

$s$

6.

What is the symbol for population standard deviation?

a)

$\sigma^2$

b)

$\sigma$

c)

$s^2$

d)

$s$

7.

What is the symbol for sample variance?

a)

$\sigma^2$

b)

$\sigma$

c)

$s^2$

d)

$s$

8.

What is the symbol for sample standard deviation?

a)

$\sigma^2$

b)

$\sigma$

c)

$s^2$

d)

$s$

9.

Which of the following expressions gives the Sum of Squares of a data set?

a)

$\frac{\Sigma\left(d^2\cdot f\right)}{N}$

b)

$\frac{\Sigma\left(d^2\cdot f\right)}{\left(n-1\right)}$

c)

$\Sigma\left(d^2\right)$

d)

$\Sigma\left(d^2\cdot f\right)$

10.

Which of the following expressions gives the estimated Sum of Squares from a frequency table?

a)

$\frac{\Sigma\left(d^2\cdot f\right)}{N}$

b)

$\frac{\Sigma\left(d^2\cdot f\right)}{\left(n-1\right)}$

c)

$\Sigma\left(d^2\right)$

d)

$\Sigma\left(d^2\cdot f\right)$

11.

Which of the following expressions gives the variance of a population?

a)

$\frac{SS_x}{N}$

b)

$\frac{SS_x}{\left(n-1\right)}$

c)

$\Sigma\left(d^2\right)$

d)

$\Sigma\left(d^2\cdot f\right)$

12.

Which of the following expressions gives the variance of a sample?

a)

$\frac{SS_x}{N}$

b)

$\frac{SS_x}{\left(n-1\right)}$

c)

$\Sigma\left(d^2\right)$

d)

$\Sigma\left(d^2\cdot f\right)$

13.

Which of the following expressions gives the boundary of Chebyshev's Inequality?

a)

$1-\frac{1}{k^2}$

b)

$\frac{st.\ dev.}{mean}\cdot100$

c)

$\frac{\left|mean-bound\right|}{st.\ dev.}$

d)

$x-mean$

e)

$\frac{3\left(mean-median\right)}{st.\ dev.}$

14.

Which of the following expressions gives the Coefficient of Variation?

a)

$1-\frac{1}{k^2}$

b)

$\frac{st.\ dev.}{mean}\cdot100$

c)

$\frac{\left|mean-bound\right|}{st.\ dev.}$

d)

$x-mean$

e)

$\frac{3\left(mean-median\right)}{st.\ dev.}$

15.

Which of the following expressions gives $k$ , the number of standard deviations from the mean?

a)

$1-\frac{1}{k^2}$

b)

$\frac{st.\ dev.}{mean}\cdot100$

c)

$\frac{\left|mean-bound\right|}{st.\ dev.}$

d)

$x-mean$

e)

$\frac{3\left(mean-median\right)}{st.\ dev.}$

16.

Which of the following expressions gives $d_x$ , the deviation of a data point?

a)

$1-\frac{1}{k^2}$

b)

$\frac{st.\ dev.}{mean}\cdot100$

c)

$\frac{\left|mean-bound\right|}{st.\ dev.}$

d)

$x-mean$

e)

$\frac{3\left(mean-median\right)}{st.\ dev.}$

17.

Which of the following expressions gives Pearson's Index of Skew?

a)

$1-\frac{1}{k^2}$

b)

$\frac{st.\ dev.}{mean}\cdot100$

c)

$\frac{\left|mean-bound\right|}{st.\ dev.}$

d)

$x-mean$

e)

$\frac{3\left(mean-median\right)}{st.\ dev.}$

18.

You will be using the following data set for the next set of problems, so be sure to write it down carefully.

$A=\left\{18,5,1,4,20\right\}$

A is a sample.

Type "done" in the box below when you are finished.

(a)

19.

What is the size of A?

(a)

20.

What is the range of A?

(a)

21.

What is the $\Sigma x$ of A?

(a)

22.

What is the mean of A?

(a)

23.

What is the mode of A?

a)

5

b)

1

c)

26

d)

none

24.

What is the median of A?

(a)

25.

What is the Sum of Squares of A?

(a)

26.

What is the variance of A? Round your answer to one decimal place.

(a)

27.

What is the standard deviation of A? Round your answer to three decimal places.

(a)

28.

What is the Coefficient of Variation of A? Express your answer as a whole number followed by the "%" sign.

(a)

29.

What is Pearson's Index of Skew for A? Round your answer to two decimal places.

(a)

30.

What is the shape of the distribution of A?

a)

skew left

b)

skew right

c)

symmetric, but not uniform

d)

uniform

31.

You will be using the following data set for the next set of problems, so be sure to write it down carefully.

$B=\left\{8,5,4,4,9,5\right\}$

B is a population.

Type "done" in the box below when you are finished.

(a)

32.

What is the size of B?

(a)

33.

What is the range of B?

(a)

34.

What is the $\Sigma x$ of B?

(a)

35.

What is the mean of B?

(a)

36.

What are the modes of B? Check all that apply.

a)

4

b)

5

c)

8

d)

9

37.

What is the median of B?

(a)

38.

What is the Sum of Squares of B?

(a)

39.

What is the variance of B? Round your answer to two decimal places.

(a)

40.

What is the standard deviation of B? Round your answer to two decimal places.

(a)

41.

What is the Coefficient of Variation of B? Express your answer as a whole number followed by the "%" sign.

(a)

42.

What is the Pearson's Index of Skew for B? Round your answer to two decimal places.

(a)

43.

What is the shape of the distribution of B?

a)

skew left

b)

skew right

c)

symmetric, but not uniform

d)

uniform

44.

You will be using the frequency table shown for the next set of problems, so make sure to write it down carefully before proceeding. The data represented is a sample.

Type "done" in the box below when you are finished.

(a)

45.

Estimate the mean using the frequency table. Round your answer to two decimal places.

(a)

46.

Estimate the median of the data set from the frequency table using the midpoint method.

(a)

47.

Estimate the Sum of Squares using the frequency table. Round your answer to two decimal places.

(a)

48.

Estimate the variance using the frequency table. Round your answer to two decimal places.

(a)

49.

Estimate the standard deviation using the frequency table. Round your answer to two decimal places.

(a)

50.

What is the minimum percentage of the data in any data set must lie within 2.7 standard deviations of the mean?

a)

86.28%

b)

62.96%

c)

13.72%

d)

37.04%

51.

A data set has a mean of 30 and a standard deviation of 2. What is the minimum percentage of the data in this set that must lie between 20 and 40?

Express your answer as a whole number followed by the "%" sign.

(a)

52.

Data from a census has $\mu=40$ and $\sigma=4$ . What is the minimum percentage of data from this census that must lie between 31 and 49?

a)

80.25%

b)

75%

c)

93.75%

d)

55.56%

53.

A sample data set has $\overline{x}=12$ , $s=5$ and $n=80$ . What is the least number of data points that can lie between 0 and 24?

(a)

54.

A data set has 800 data points. At least 750 of them must lie within (a) standard deviations of the mean.

55.

A data set has 70 data points with a mean of 32 and a standard deviation of 3. At least 56 of these data points must lie between what two bounds, S.A.M.?

a)

25.29 and 38.71

b)

31.20 and 32.80

c)

30.75 and 33.25

d)

27.33 and 36.67

56.

Review: Surveying your friends and family is using the __________________ sampling method.

a)

Convenience

b)

Systematic

c)

Simple Random

d)

Cluster

e)

Stratified

57.

Review: A computer picking random numbers to dial is using the __________________ sampling method.

a)

Convenience

b)

Systematic

c)

Simple Random

d)

Cluster

e)

Stratified

58.

Review: Homes are picked at random, but then everyone in each home is surveyed. This is using the __________________ sampling method.

a)

Convenience

b)

Systematic

c)

Simple Random

d)

Cluster

e)

Stratified

59.

Review: A population that is 70% white and 30% minority is sampled so that the sample contains responses from 70 whites and 30 minorities. This is using the __________________ sampling method.

a)

Convenience

b)

Systematic

c)

Simple Random

d)

Cluster

e)

Stratified

60.

Review: At Pearson High School, all honors classes have a weight of 1.2, and all AP classes have a weight of 1.35. All other classes have a weight of 1.0. Find the weighted GPA of a student who has only the classes shown in the table. Round your answer to two decimal places.

(a)

61.

Review: Hank has grades of 73%, 80% and 92% in the first three quarters of his Contemporary Philosophy class. What grade would he have to get in the fourth quarter in order to average an 84% for the year? There are no midterms or finals in this class.

(a)

62.

Review: Nine broke guys are in a room. Suddenly, Bill Gates, one of the richest men in the world, walks in. What measure of wealth in the room does not change?

a)

Mean

b)

Median

c)

Midrange

d)

Variance

63.

Review: Which of the following graphs are used for bivariate data? Check all that apply.

a)

Time Series

b)

Scatter Plot

c)

Histogram

d)

Frequency Polygon

e)

Pareto Chart

Measures of Variation Review WS #2

Total questions: 63

Worksheet time: 16hrs 45mins

Similar Resources on Wayground