Q. 8 A

# Let us find the m

We need to find the mean by assumed mean method.

For assumed-mean method, we assume a mean from the midpoints and calculate deviation from that assumed mean.

We can create a table showing frequencies, midpoints and deviations.

So, we have

∑fixi = 9080

∑fi = 90

Observe that, we have taken assumed mean as 100. Assumed mean is a mid-value usually from the xi’s.

Here, di is the deviation from the mean.

Using xi’s and A, we have found di and further have found out fidi.

We have the following formula to calculate arithmetic mean using assumed-mean method,

Substituting all the values from the table into the formula, we get

Mean = 200.89

Thus, the mean of the data is 200.89.

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