Question

What is the median of the following data set? 32, 6, 21, 10, 8, 11, 12, 36, 17, 16, 15, 18, 40, 24, 21, 23, 24, 24, 29, 16, 32, 31, 10, 30, 35, 32, 18, 39, 12, 20

• A. 34
• B. 15
• C. 21
• D. 18

Answer 1

Answer:

C. 21

The ascending order of the given data set is: 6, 8, 10, 10, 11, 12, 12, 15, 16, 16, 17, 18, 18, 20, 21, 21, 23, 24, 24, 24, 29, 30, 31, 32, 32, 32, 35, 36, 39, 40 Number of values in the data set = n = 30 n/2 = 30/2 = 15 15th data value = 21 (n/2) +1 = 16 16th data value = 21 Median = [(n/2)th observation + {(n/2)+1}th observation]/2 = (15th data value + 16th data value)/2 = (21 + 21)/2 = 21