# The median of a sample will always equal the

1. The median of a sample will always equal the

a. mode
b. mean
c. 50th percentile
d. all of the above answers are correct

1. A researcher has collected the following sample data

5 12 6 8 5
6 7 5 12 4
The median is

a. 5
b. 6
c. 7
d. 8

1. Refer to the data in question 2. The mode is

a. 5
b. 6
c. 7
d. 8

1. Refer to the data in question 2. The 75th percentile is

a. 5
b. 6
c. 7
d. 8

1. A researcher has collected the following sample data.

3 5 12 3 2
The variance is

a. 80
b. 4.062
c. 13.2
d. 16.5

1. Refer to the data in question 5. The standard deviation is

a. 8.944
b. 4.062
c. 13.2
d. 16.5

1. Refer to the data in question 5. The range is

a. 1
b. 2
c. 10
d. 12

1. Refer to the data in question 5. The interquartile range is

a. 1
b. 2
c. 10
d. 12

1. The following is the frequency distribution for the speeds of a sample of automobiles traveling on an interstate highway.

SpeedMiles per Hour Frequency
50 – 54 2
55 – 59 4
60 – 64 5
65 – 69 10
70 – 74 9
75 – 79 5
The mean is

a. 35
b. 670
c. 10
d. 67

1. Refer to the data in question 9. The standard deviation is

a. 6.969
b. 7.071
c. 48.570
d. 50.000

1. The flashlight batteries produced by Manufacturer X are known to have a mean life of 60 hours, with a standard deviation of 4 hours. At least what percentage of flashlights will have a life of 54 to 66 hours?

a. 97.2%
b. 75%
c. 55.6%
d. 100%

1. Refer to question 11. At least 80% of flashlights will have a life of _ to _ hours.

a. 58.882; 61.118
b. 55.528; 64.472
c. 57.764; 62.236
d. 51.056; 68.944

1. The following observations are given for a sample of two variables.

y x
5 2
8 12
18 3
20 6
22 11
30 19
10 18
7 9
Compute the sample correlation coefficient between x and y.

a. 19.286
b. 6.32
c. 8.83
d. 0.345
e. none of these responses

1. Refer to question 13. The sample correlation coefficient you computed suggests what type of relationship between x and y?

a. positive
b. negative
c. no relationship
For questions 15-20, utilize the Microsoft Excel ‘Tipping Data’ posted on Blackboard. The data, which measure the restaurant customer’s percentage tip, their server’s service quality, their server’s gender, their server’s beauty, and their own gender, were collected by me during Summer 2003 outside of various Virginia restaurants. You should perform your calculations using the relevant Excel functions. You will note that I did not provide any explicit instruction in Excel in my lecture notes. This was intentional, as I believe that the best way to learn how to use statistical software is to learn how to use it mostly on your own. That said, the Internet, Microsoft Excel Help, and your textbook are all great resources.

1. Compute the mean Percent Tip.

a. 18.5
b. 20
c. 19.2
d. 15

1. Compute the modal Percent Tip.

a. 18.5
b. 20
c. 19.2
d. 15

1. Compute the variance of Percent Tip.

a. 6.196
b. 6.207
c. 38.389
d. 38.456
e. 38.522

1. Compute the interquartile range of Percent Tip. Note that the way in which I compute percentiles in the notes is consistent with neither of Excel’s percentile functions. Hence, use the PERCENTILE.EXC function, which is consistent with how the text computes percentiles.

a. 6.21
b. 15.3
c. 4.90
d. 60.3

1. Compute the covariance between Percent Tip and Service Quality.

a. 6.21
b. 0.94
c. 0.138
d. 60.3

1. Compute the correlation coefficient between Percent Tip and Service Quality.

a. 6.21
b. 0.94
c. 0.138
d. 60.3

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