Question

Refer to the frequency distribution table given in Section 1.3 Exercise 12 of the text. What is the mean of this sample data?

A) 12.5
B) 13
C) 14
D) 15

Answer 1

To find the mean of a frequency distribution table, multiply each value by its frequency, find the total value, find the total frequency, and divide the total value by the total frequency.

Step-by-step explanation:

To find the mean of the given sample data, we need to calculate the weighted average of the values, where each value is multiplied by its corresponding frequency.

Let's assume the frequency distribution table is as follows:

ValueFrequency105128144163

Step 1: Multiply each value by its frequency: (10 x 5) + (12 x 8) + (14 x 4) + (16 x 3) = 90 + 96 + 56 + 48 = 290.

Step 2: Find the total frequency: 5 + 8 + 4 + 3 = 20.

Step 3: Divide the total value by the total frequency to find the mean: 290 ÷ 20 = 14.5.

Therefore, the mean of the sample data is 14.5.