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## Multiple choice questions based on Weighted average, arithmetic mean, mode and median

Calculations on the Measures of Central Tendency 1. Last year a small statistical consulting company paid each of its five statistical clerks \$22,000, two statistical analysts \$50,000 each, and the senior statistician/owner \$270,000. The number of employees earning less than the mean/average salary is: ____ HINT: CALCULATE THE WEIGHTED AVERAGE

a. 0

b. 4

c. 5

d. 6

e. 7

2. The heights in centimeters of 5 students are: 165, 175, 176, 159, 170. The sample median and sample mean are respectively:

a. 170, 169

b. 170, 170

c. 169, 170

d. 176, 169

e.176, 176

3. The term test scores of 15 students enrolled in a Business Statistics class were recorded in ascending order as follows: 4, 7, 7, 9, 10, 11, 13, 15, 15, 15, 17, 17, 19, 19, 20 After calculating the mean, median, and mode, an error is discovered: one of the 15's is really a 17. What measure of central tendency will change?:

a. the mean only

b. the mode only

c.the median only

d.the mean and mode

e.all three measures

4.

a.Calculate the mean or average age ___________________

b.Calculate the median age ___________________________

5.

a.Identify the mode in the following data: 2, 4, 14, 8, 10, 14, 8, 4, 8 Mode __________________

b.Identify the mode in the following data: 666, 2, 5, 999, 11, 11, 12 Mode _________________

6. Find the median in the following data set:

12, 10, 9, 5, 30, 3, 25 Median = ____________________

20, 21, 22, 23, 24, 25, 26, 27, 28, 29 Median = ____________________

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