1)(4 pts) Why is it sometimes said that "the range informs the mean"? (e

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1)(4 pts) Why is it sometimes said that "the range informs the mean"? (e.g., how would

the range help you interpret ? = 75?)

2)(9 pts) Describe conceptually what information each of the three measures of central tendency

provides.

3)(4 pts) Your computer printout indicates that for a given data set the mean is equal to 358.33

and the median is equal to 531.08.

a. What do these numbers indicate about the shape of the distribution?

b. Sketch the shape of this distribution.

5. If you were going to make a frequency distribution for a data set with a range of 253, what

size groups would you use and how many groups would be necessary?

4. (4 pts) Describe why the median would be a better measure of central tendency than the mean

for a skewed distribution?

6. (6 pts) What is the "semi-interquartile range" AND describe why the semi-interquartile range

would be a better measure of variability than standard deviation for a skewed?

7. (2 pts) In what situation would SS=0?

8. (4 pts) Specifically, what information does the standard deviation provide? For example, if the

standard deviation for a data set is 23... what does that mean?

 

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9. If one section of a biology class with 28 students had an average of 75 on an exam and another

section of the biology class with 58 students had an average of 60 on the same exam; what would

be the overall average if you combined the two sections?

10. Suppose that the following data set represents how many words are remembered after by

each of 11 individuals after a 30 minute delay. Find the range, mean, median (USING

INTERPOLATION), mode, and standard deviation

7, 7, 9, 10, 11, 8, 8, 7, 7, 5, 9