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in Statistics by (32.3k points)
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The following table shows the funds collected by 50 students for flood affected people. Find the mean of the funds.

Fund (Rs.) 0 - 500 500 - 1000 1000 - 1500 1500 - 2000 2000 - 2500 2500 - 3000
No. of students 2 4 24 18 1 1

 If the number of scores in two consecutive classes is very low, it is convenient to club them. So, in the above example, we club the classes 0 – 500, 500 – 1000 and 2000 – 2500, 2500 – 3000. Now the new table is as follows

Fund (Rs.) 0 - 1000 1000 - 1500 1500 - 2000 2000 - 3000
No. of students 6 24 18 2

 i. Solve by direct method. 

ii. Verily that the mean calculated by assumed mean method is the same. 

iii. Find the mean in the above example by taking A 

= 1750.

1 Answer

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by (32.3k points)
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Best answer

i. Direct method:

∴ The mean of the funds is Rs. 1390.

ii. Assumed mean method:

Here, A = 1250

∴ The mean calculated by assumed mean method is the same.

iii. Step deviation method:

Here, we take A = 1750 and g = 250

∴ The mean of the funds is Rs. 1390.

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