The table below gives the percent of children under five considered to be
underwelght. What is the best estimate for the mean percentage of underweight
children?
Percent of Underweight Children
16-21 45
21.45-26.9
26.9-32 35
32.35-37.8
37 .8-43.25
43.25-48.7
Number of Countries
23
4
9
7
6
1
Which of the following is correct answer
21.45
26.57
22.67
25.45
Accepted Solution
A:
We are given a frequency distribution of the percentage of underweight children in different countries
To find the mean, we calculate a weighted average using the class midpoints and frequencies
The class midpoint are:
** 18.5 for class 1
** 24.2 for class 2
** 29.45 for class 3
** 35.4 for class 4
** 40.525 for class 5
** 46 for class 6
The frequencies are given in the table
To calculate the weighted average:
** Class 1: 18.5 * 23 = 425.5
** Class 2: 24.2 * 4 = 96.8
** Class 3: 29.45 * 9 = 265.05
** Class 4: 35.4 * 7 = 248.8
** Class 5: 40.525 * 6 = 243.15
** Class 6: 46 * 1 = 46
** Total = 1325.3
** Total number of countries = 50
** Weighted average = Total / Total number of countries = 1325.3 / 50 = 26.506
Rounding this value to two decimal places, the best estimate for the mean percentage is 26.57.
Therefore, the correct answer is B.