he table below shows the classification of the numbers of a committee according to their age.
Age Number of members
25-30
30-35
12
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Calculate the mean median and moge age of the members
Answers
Answer:
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Step-by-step explanation:
Age Number of members
Less than 30 4
Less than 35 4 + 7 = 11
Less than 40 11 + 12 = 23
Less than 45 23 + 15 = 38
Less than 50 38 + 16 = 54
Less than 55 54 + 12 = 66
Less than 60 66 + 9 = 75
Less than 65 75 + 5 = 80
Let us write this as a relation between the numbers.
x 30 35 40 45 50 55 60 65
y 4 11 23 38 54 66 75 80
Here, y=
2
80
=40
Median is the value of x such that $$y = 40.$$
From the table, position y=40 is in between y=38 and y=54.
y=38 corresponds to x=45 and y=54 corresponds to x=50.
Using proortionality assumption, we have
40−38
x−45
=
54−38
50−45
⇒
2
x−45
=
16
5
⇒x−45=
16
10
=0.625
⇒x=45+0.625=45.625∼46
Thus, median age of the members is 46 years.