Question 1

The statistic most descriptive of the middle 50 percent of the distribution is

Accepted Answer

A)  the range 
B)  the interquartile range 
C)  $\hat { S }$ 
D) $\sigma$. 
A)  the range 
B)  the interquartile range 
C)  $\hat { S }$ 
D) $\sigma$.

Question 2

For the scores: 0, 2, 4, 5, the range is

Accepted Answer

A)  5 
B)  4 
C)  0 
D)  none of the other alternatives are correct. 
A)  5 
B)  4 
C)  0 
D)  none of the other alternatives are correct.

Question 3

Data Set 4-5: 2, 4, 6, 8
-Refer to Data Set 4-5. The range is

Accepted Answer

A)  6 
B)  7 
C)  5 
D)  not enough information is given. 
A)  6 
B)  7 
C)  5 
D)  not enough information is given.

Question 4

The range is about __________ than $\hat { S }$
 , when N is 100 or less.

Accepted Answer

A)  three times larger 
B)  six times larger 
C)  nine times larger 
D)  twelve times larger. 
A)  three times larger 
B)  six times larger 
C)  nine times larger 
D)  twelve times larger.

Question 5

If the variance of a distribution is smaller than one, the standard deviation will be _________ than the variance.

Accepted Answer

A)  larger 
B)  smaller 
C)  could be either larger or smaller 
D)  the same size. 
A)  larger 
B)  smaller 
C)  could be either larger or smaller 
D)  the same size.

Question 6

The sum of the deviation scores for a distribution is 0 when all calculations are correct.

Accepted Answer

A) True 
 B)False

Question 7

For any distribution of scores, which of the following is numerically the smallest?

Accepted Answer

A)  the sum of the deviation scores 
B)  range 
C)  standard deviation 
D)  variance. 
A)  the sum of the deviation scores 
B)  range 
C)  standard deviation 
D)  variance.

Question 8

On the first test of material on dinosaurs, a class of sixth graders had a mean score of 36 with S = 12. The teacher was disappointed and assigned six pages of homework on dinosaurs and scheduled a second test. The top one-fourth of the class studied the extra material and did even better on the second test. The other three-fourths ignored the material and made the same score as before. Pick the mean and standard deviation that might be found, given the description.

Accepted Answer

A)  $\bar { X }$ = 36 S = 12 
B)  $\bar { X }$ =36S=18 
C)  $\bar { X }$ = 42 S = 18 
D)  $\bar { X }$ = 42 S = 12. 
A)  $\bar { X }$ = 36 S = 12 
B)  $\bar { X }$ =36S=18 
C)  $\bar { X }$ = 42 S = 18 
D)  $\bar { X }$ = 42 S = 12.

Question 9

Suppose that you are to choose the best machine from among three different brands. You have samples of output from each of the three brands. One characteristic of a high quality machine is consistency. Of course, in any batch of output there will be some that are a little too large and some that are a little too small. For the data below, calculate the appropriate standard deviations and use them to recommend the "best quality machine."The data are deviations from specifications in thousandths of an inch. (Can you eyeball the data and come to a preliminary conclusion?) $$\begin{array} { c c c } 
\text { Brand A } & \text { Brand B } & \text { Brand C } \
\hline - 3 & - 2 & - 5 \
- 11 & 7 & 3 \
8 & 3 & 2 \
2 & - 6 & 1 \
4 & - 2 & - 1
\end{array}$$

Accepted Answer

The brand that produces machines with th

Question 10

Treat the two distributions below as populations. Calculate the variance for each distribution. $$\begin{array} { r c } 
\text { First } & \text { Second } \
\hline 11 & 7 \
3 & 2 \
3 & 1 \
2 & 0 \
1 & 0
\end{array}$$

Accepted Answer

None

Question 11

Compute $\hat { S }$ and $\sigma$ for the data below using the raw-score method.2 , 3 , 2 , 0 , 1 , 0 , 2

Accepted Answer

None

Question 12

From the scores at the right: $$\begin{array} { r r } 
\mathrm { X } & f \
\hline 12 & 2 \
11 & 2 \
10 & 4 \
9 & 7 \
8 & 4 \
6 & 2 \
5 & 1
\end{array}$$ 
a. Compute $\sigma$ using the deviation method.
b. Compute $\hat { S }$ using the raw-score method 
c. $\hat { S }$ is larger than $\sigma$ . Why must this be so? 
d. What is the variance (use $\hat { S }$ ) 
e. Compute IQR.

Accepted Answer

None

Question 13

Tiny High School has a total enrollment of 36. The Principal, interested in the variability of GPA's at THS, gathered the following data and calculated the appropriate standard deviation: N = 36, $\Sigma$X = 90, $\Sigma$X2 = 233.64. Which answer is correct?

Accepted Answer

A)  0.25 
B)  0.49 
C)  0.50 
D)  none of the other alternatives are correct. 
A)  0.25 
B)  0.49 
C)  0.50 
D)  none of the other alternatives are correct.

Question 14

To find the range multiply the interquartile range by 2.

Accepted Answer

A) True 
 B)False

Question 15

A score minus the mean of the scores is

Accepted Answer

A)  the standard deviation 
B)  the variance 
C)  a deviation score 
D)  the range. 
A)  the standard deviation 
B)  the variance 
C)  a deviation score 
D)  the range.

Question 16

For each set below circle the letter of the more variable group.
-Set 3:

Accepted Answer

A)  The ages of University professors 
B)  The ages of University students 
A)  The ages of University professors 
B)  The ages of University students

Question 17

Data Set 4-1: 2, 7, 3, 6, 2
-For Data Set 4-1, find the standard deviation $\sigma$.

Accepted Answer

A)  2.10 
B)  2.05 
C)  4.40 
D)  4.69. 
A)  2.10 
B)  2.05 
C)  4.40 
D)  4.69.

Question 18

Compute the range for the following scores:.65 , .82 , .23 , .12 , .70 , .57

Accepted Answer

range = 0.

Question 19

For a set of data, the ratio of the range over the standard deviation will be about

Accepted Answer

A)  0.25 
B)  0.50 
C)  1.5 
D)  4. 
A)  0.25 
B)  0.50 
C)  1.5 
D)  4.

Question 20

Find the range, IQR, and $\hat { S }$ $$\begin{array} { l l } 
X & f \
\hline 30 & 2 \
29 & 6 \
28 & 4 \
27 & 3 \
26 & 2 \
25 & 0 \
24 &\underline{ 1} \

\end{array}$$

Accepted Answer

\[\begin{array}{l}
\begin{array} { l r r

The statistic most descriptive of the middle 50 percent of the distribution is

For the scores: 0, 2, 4, 5, the range is

Data Set 4-5: 2, 4, 6, 8 -Refer to Data Set 4-5. The range is

The range is about __________ than $\hat { S }$ , when N is 100 or less.

If the variance of a distribution is smaller than one, the standard deviation will be _________ than the variance.

The sum of the deviation scores for a distribution is 0 when all calculations are correct.

For any distribution of scores, which of the following is numerically the smallest?

Treat the two distributions below as populations. Calculate the variance for each distribution. First Second 11 7 3 2 3 1 2 0 1 0

Compute $\hat { S }$ and $\sigma$ for the data below using the raw-score method.2 , 3 , 2 , 0 , 1 , 0 , 2

From the scores at the right: f 12 2 11 2 10 4 9 7 8 4 6 2 5 1 a. Compute $\sigma$ using the deviation method. b. Compute $\hat { S }$ using the raw-score method c. $\hat { S }$ is larger than $\sigma$ . Why must this be so? d. What is the variance (use $\hat { S }$ ) e. Compute IQR.

Tiny High School has a total enrollment of 36. The Principal, interested in the variability of GPA's at THS, gathered the following data and calculated the appropriate standard deviation: N = 36, $\Sigma$ X = 90, $\Sigma$ X² = 233.64. Which answer is correct?

To find the range multiply the interquartile range by 2.

A score minus the mean of the scores is

For each set below circle the letter of the more variable group. -Set 3:

Data Set 4-1: 2, 7, 3, 6, 2 -For Data Set 4-1, find the standard deviation $\sigma$ .

Compute the range for the following scores:.65 , .82 , .23 , .12 , .70 , .57

For a set of data, the ratio of the range over the standard deviation will be about

Find the range, IQR, and $\hat { S }$ X f 30 2 29 6 28 4 27 3 26 2 25 0 24

Introduction

Exploring Data: Frequency Distributions and Graphs

Exploring Data: Central Tendency

Other Descriptive Statistics

Correlation and Regression

Theoretical Distributions Including the Normal Distribution

Samples, Sampling Distributions, and Confidence Intervals

Hypothesis Testing and Effect Size: One-Sample Designs

Hypothesis Testing, Effect Size, and and Confidence Intervals: Two-Sample Designs

Analysis of Variance: One-Way Classification

Analysis of Variance: One-Factor Repeated Measures

Analysis of Variance: Factorial Design

Chi Square Tests

More Nonparametric Tests

Appendix: Grouped Frequency Distributions and Central Tendency

Filters

Exam 4: Exploring Data: Variability

The statistic most descriptive of the middle 50 percent of the distribution is

For the scores: 0, 2, 4, 5, the range is

Data Set 4-5: 2, 4, 6, 8 -Refer to Data Set 4-5. The range is

The range is about __________ than S^\hat { S }S^ , when N is 100 or less.

If the variance of a distribution is smaller than one, the standard deviation will be _________ than the variance.

The sum of the deviation scores for a distribution is 0 when all calculations are correct.

For any distribution of scores, which of the following is numerically the smallest?

Treat the two distributions below as populations. Calculate the variance for each distribution. First Second 11 7 3 2 3 1 2 0 1 0

Compute S^\hat { S }S^ and σ\sigmaσ for the data below using the raw-score method.2 , 3 , 2 , 0 , 1 , 0 , 2

From the scores at the right: f 12 2 11 2 10 4 9 7 8 4 6 2 5 1 a. Compute σ\sigmaσ using the deviation method. b. Compute S^\hat { S }S^ using the raw-score method c. S^\hat { S }S^ is larger than σ\sigmaσ . Why must this be so? d. What is the variance (use S^\hat { S }S^ ) e. Compute IQR.

Tiny High School has a total enrollment of 36. The Principal, interested in the variability of GPA's at THS, gathered the following data and calculated the appropriate standard deviation: N = 36, Σ\SigmaΣ X = 90, Σ\SigmaΣ X2 = 233.64. Which answer is correct?

To find the range multiply the interquartile range by 2.

A score minus the mean of the scores is

For each set below circle the letter of the more variable group. -Set 3:

Data Set 4-1: 2, 7, 3, 6, 2 -For Data Set 4-1, find the standard deviation σ\sigmaσ .

Compute the range for the following scores:.65 , .82 , .23 , .12 , .70 , .57

For a set of data, the ratio of the range over the standard deviation will be about

Find the range, IQR, and S^\hat { S }S^ X f 30 2 29 6 28 4 27 3 26 2 25 0 24

Introduction

Exploring Data: Frequency Distributions and Graphs

Exploring Data: Central Tendency

Other Descriptive Statistics

Correlation and Regression

Theoretical Distributions Including the Normal Distribution

Samples, Sampling Distributions, and Confidence Intervals

Hypothesis Testing and Effect Size: One-Sample Designs

Hypothesis Testing, Effect Size, and and Confidence Intervals: Two-Sample Designs

Analysis of Variance: One-Way Classification

Analysis of Variance: One-Factor Repeated Measures

Analysis of Variance: Factorial Design

Chi Square Tests

More Nonparametric Tests

Appendix: Grouped Frequency Distributions and Central Tendency

Filters

The range is about __________ than $\hat { S }$ , when N is 100 or less.

Compute $\hat { S }$ and $\sigma$ for the data below using the raw-score method.2 , 3 , 2 , 0 , 1 , 0 , 2

From the scores at the right: f 12 2 11 2 10 4 9 7 8 4 6 2 5 1 a. Compute $\sigma$ using the deviation method. b. Compute $\hat { S }$ using the raw-score method c. $\hat { S }$ is larger than $\sigma$ . Why must this be so? d. What is the variance (use $\hat { S }$ ) e. Compute IQR.

Tiny High School has a total enrollment of 36. The Principal, interested in the variability of GPA's at THS, gathered the following data and calculated the appropriate standard deviation: N = 36, $\Sigma$ X = 90, $\Sigma$ X² = 233.64. Which answer is correct?

Data Set 4-1: 2, 7, 3, 6, 2 -For Data Set 4-1, find the standard deviation $\sigma$ .

Find the range, IQR, and $\hat { S }$ X f 30 2 29 6 28 4 27 3 26 2 25 0 24