Multiple choice problems 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: find out 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, and 170. The sample median and sample mean are in that order:
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. mean only
b. mode only
c. median only
d. mean and mode
e. all three measures
4.
a. compute the mean or average age ___________________
b. analyse the median age ___________________________
5.
a. Identify the mode in following data: 2, 4, 14, 8, 10, 14, 8, 4, 8 Mode __________________
b. Identify the mode in following data: 666, 2, 5, 999, 11, 11, 12 Mode _________________
6. Find out the median in following data set:
12, 10, 9, 5, 30, 3, 25 Median = ____________________
20, 21, 22, 23, 24, 25, 26, 27, 28, 29 Median = ____________________