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Question

The following data shows monthly savings of 100 families . Find the difference of modal and mean monthly savings.

Monthly savings(Rs) Number of families 1000−2000122000−3000153000−4000214000−5000275000−600025


A

700-800

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B

600-700

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C

900-1000

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D

800 - 900

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Solution

The correct option is D

800 - 900


Modal class is 4000-5000 with

f1 = 27, f0 = 21, f2 = 25, I = 4000, h = 1000

Mode = l + (f1f02f1f0f2)h

For finding mean , we use Direct method

Mode = 4000 + 68×1000

= 4750

Mean = 3880

We used Direct method to find the mean because the numbers are very easy even though they are large. You could use any of the three methods.

Difference between mode and mean = 4750 – 3880 = 870


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