# Find the Mean and Standard Deviation Using Short-cut Method.60 61 62 63 64 65 66 67 68 - Mathematics

Find the mean and standard deviation using short-cut method.

 xi 60 61 62 63 64 65 66 67 68 fi 2 1 12 29 25 12 10 4 5

#### Solution

The data is obtained in tabular form as follows.

 xi f i fi = (X_i - 64)/1 yi2 fiyi fiyi2 60 2 –4 16 –8 32 61 1 –3 9 –3 9 62 12 –2 4 –24 48 63 29 –1 1 –29 29 64 25 0 0 0 0 65 12 1 1 12 12 66 10 2 4 20 40 67 4 3 9 12 36 68 5 4 16 20 80 100 220 0 286

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#### APPEARS IN

NCERT Class 11 Mathematics Textbook
Chapter 15 Statistics
Q 6 | Page 371