Question

A large construction company wants to review the ages of its sales representatives. A sampling of the ages of 25 sales reps are given:
50 42 32 35 41 44 24 46 31 47 36 32 30 44 22 47 31 56 28 37 49 28 42 38 45
The following histogram is a representation of the data.
A histogram has ages on the x-axis, and frequency on the y-axis. Ages 20 to 24 has a frequency of 2, 25 to 29 is 2, 30 to 34 is 5, 35 to 39 is 4, 40 to 44 is 5, 45 to 49 is 5, 50 to 54 is 1, 55 to 59 is 1.
Calculate the mean and median ages.
a.
The mean age is 38.28. The median age is 38.
b.
The mean age is 38. The median age is 38.28.
c.
The mean age is 37.08. The median age is 38.
d.
The mean age is 36.88. The median age is 37.08.



Please select the best answer from the choices provided


A
B
C
D

Answer 1

The mean and median of the given set of data are respectively; The mean age is 38.28. The median age is 38.

How to find the mean and median of a set of data?

The mean simply means the average of the set of data. Thus;

Mean = ∑x/n

∑x = 22 + 24 + 28 + 28 + 30 + 31 + 31 + 32 + 32 + 35 + 36 + 37 + 38 + 41 + 42 + 42 + 44 + 44 + 45 + 46 + 46 + 47 + 47 + 49 + 50

∑x = 957

Mean = 957/25

Mean ≈ 38.28

B) Median is the midterm when arranged in ascending order. When we arrange in ascending order, we get;

22, 24, 28, 28, 30, 31, 31, 32, 32, 35, 36, 37, 38, 41, 42, 42, 44, 44, 45, 46, 46, 47, 47, 49, 50

Thus, the median is 38.

Read more about mean and median at; brainly.com/question/10170764

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