The table below gives the percent of children under five considered to be underweight.
Percent of Underweight Children Number of Countries
16–21.45 21
21.45–26.9 4
26.9–32.35 9
32.35–37.8 8
37.8–43.25 7
43.25–48.7 2
What is the best estimate for the mean percentage of underweight children? (Round your answer to two decimal places.)

The best estimate for the mean percentage is found using the sums of the multiplications of the relative frequencies and the halfway point of each interval.
In total, there are 21 + 4 + 9 + 8 + 7 + 2 = 51 countries.

The halfway points and relative frequencies are:

(21.45 + 16)/2 = 18.725, with a relative frequency of 21/51 = 0.4118,
(21.45 + 26.9)/2 = 24.175, with a relative frequency of 4/51 = 0.0784,
(26.9 + 32.25)/2 = 29.575, with a relative frequency of 9/51 = 0.1765,
(32.35 + 37.8)/2 = 35.075, with a relative frequency of 8/51 = 0.1569,
(37.8 + 43.25)/2 = 40.525, with a relative frequency of 7/51 = 0.1373,
(43.25 + 48.7)/2 = 45.975, with a relative frequency of 2/51 = 0.0392.

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The best estimate for the mean percentage is:

[tex]p = 18.725(0.4118) + 24.175(0.0784) + 29.575(0.1765) + 35.075(0.1569) + 40.525(0.1373) + 45.975(0.0392) = 27.7[/tex]

27.7%.

A similar problem is given at https://brainly.com/question/23731238