Question

The mean, median, mode and range of the observations \(7, 6, 7, 9, 14, 9, 7, 15\) is:

• A. 9
• B. 10
• C. 7
• D. 8

Hint:

When a question asks for a combined value of multiple statistics, calculate each one separately and then take their mean to find the final answer.

Answer 1

The Correct Option is D

Given numbers: 7, 6, 7, 9, 14, 9, 7, 15
First, sort them: 6, 7, 7, 7, 9, 9, 14, 15
Mean: Add all and divide by 8.
Sum = \(6 + 7 + 7 + 7 + 9 + 9 + 14 + 15 = 76\)
Mean = \( \frac{76}{8} = 9.5 \)
Median: Middle two values = 7 and 9
Median = \( \frac{7 + 9}{2} = 8 \)
Mode: Number occurring most frequently = 7
Range: \(15 - 6 = 9\)
Now average the 4 statistical values:
Mean = 9.5
Median = 8
Mode = 7
Range = 9
Total = \(9.5 + 8 + 7 + 9 = 33.5\)
Average = \( \frac{33.5}{4} = 8.375 \approx 8 \)