Question

Approximate the mean of the frequency distribution calculator

A) MeanEstimation()
B) FrequencyMeanApproximation()
C) CalculateDistributionMean()
D) ApproximateMeanCalculator()

Answer 1

The correct option for approximating the mean of a frequency distribution is A) MeanEstimation(). To calculate the mean from a grouped frequency table, we can apply the basic data sum formula, which is the sum of the products of the midpoints of each interval and their corresponding frequencies divided by the total frequency. This gives us an estimation of the mean for the data set.

Step-by-step explanation:

The correct option for approximating the mean of a frequency distribution is A) MeanEstimation().

To calculate the mean from a grouped frequency table, we can apply the basic data sum formula, which is the sum of the products of the midpoints of each interval and their corresponding frequencies divided by the total frequency. This gives us an estimation of the mean for the data set.

For example, if we have the following grouped frequency table:

Interval Frequency

[0, 10] 5

(10, 20] 8

(20, 30] 12

(30, 40] 7

(40, 50] 4

Using the formula, the mean can be approximated as:

((5+8+12+7+4) * ((10+20)/2 + (20+30)/2 + (30+40)/2 + (40+50)/2))/((5+8+12+7+4) = 22.6