1. The following is a list of 10 measurements

35,-19, -54,7,28,24,2,38,-70,-16

Suppose that these10measurements are respectively labeledx1,x2,...,x10.

(Thus,35is labeledx1,-19 is labeledx2, and so on.) Compute the following

2. Adults who are being tested for dementia are asked to perform mental tasks such as listing as many animals as they can in one minute. Here are the numbers of animals listed in one minute by9 adults.

24,18,18,24,18,14,22,24,23

(a) What is the mean of this data set? If your answer is not an integer, round your answer to one decimal place.

(b) What is the median of this data set? If your answer is not an integer, round your answer to one decimal place.

(c) How many modes does the data set have, and what are their values? Indicate the number of modes by clicking in the appropriate circle, and then indicate the value(s) of the mode(s), if applicable.

Zero Mode: _

One mode: _

Two Modes: _ and _

3.) A weight-loss clinic advertised that last month its patients, on average, lost 6lb. Assuming thataverage refers to the mean, which of the following claims must be true based on this information?

Note: More than one statement could be true. If none of the statements is true, mark the appropriate box

.

1. Last month at least one of their patients lost exactly6lb
2. Last month at least one of their patients lost less than9lb
3. Last month some of their patients lost6lbor more
4. Last month fewer than half of their patients lost6lb or less.
5. Two months ago some of their patients lost at least6lb
6. None of the above statements are true.

4. The weights (in pounds) of17preschool children are

41,48,23,35,40,44,49,39,37,31,34,46,20,27,30,36,42

Find10thand75thpercentiles for these weights.

The 10th percentile: __ Pounds

The 75th percentile: __ Pounds

5. All5members of a family work. Their hourly wages (in dollars) are the following

28,19,19,20,9

Assuming that these wages constitute an entire population, find the standard deviation of the population. Round your answer to two decimal places

6.) The monthly salaries (in thousands of dollars) of a sample of5 sales representatives are as follows.

12,11,6,8,13

Find the standard deviation of this sample of monthly salaries. Round your answer to two decimal places.

7.) The total blood cholesterol level was measured for each of 20 adults. Here are the 20measurements (inmg/dL).

134,140,158,159,172,173,177,177,179,187,188,194,198,199,206,209,223,224,229,238

Answer the questions below.

(a) Which measures of central tendency do not exist for this data set? Choose all that apply.

Mean

Median

Mode

All of these measurements exist.

(b) Suppose that the measurement 238 (the largest measurement in the data set) were replaced by 350. Which measures of central tendency would be affected by the change? Choose all that apply

Mean

Median

Mode

None of these measurements

(c) Suppose that, starting with the original data set, the smallest measurement were removed. Which measures of central tendency would be changed from those of the original data set? Choose all that apply.

Mean

Median

Mode

None of these measurements

8.) A survey of8adults employed full-time was taken. Here are their reported numbers of hours worked per week.

47,48,47,47,49,38,50,59

(a) What is the median of this data set? If your answer is not an integer, round your answer to one decimal place.

(b) What is the mean of this data set? If your answer is not an integer, round your answer to one decimal place.

(c) How many modes does the data set have, and what are their values? Indicate the number of modes by clicking in the appropriate circle, and then indicate the value(s) of the mode(s), if applicable.

Zero Mode: _

One mode: _

Two Modes: _ and _