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Question

The weekly observations on cost of living index in a certain city for the year 2004 − 2005 are given below. Compute the weekly cost of living index.
Cost of living Index Number of Students Cost of living Index Number of Students
1400−1500
1500−1600
1600−1700
5
10
20
1700−1800
1800−1900
1900−2000
9
6
2

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Solution

Let the assumed mean be A = 1650 and h = 100.

We know that mean,

Now, we have.

Putting the values in the above formula, we have


Hence, the mean is 1663.46.


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