Q24 of 46 Page 278

The mean deviation of the data 3, 10, 10, 4, 7, 10, 5 from the mean is

Given data is 3, 10, 10, 4, 7, 10, 5. They are total 7.

Here mean,


This can be written in table form as,



Hence Mean Deviation becomes,



Therefore, the mean deviation about the mean of the distribution is 2.57.

More from this chapter

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22

Mean and standard deviation of 100 observations were found to be 40 and 10, respectively. If at the time of calculation two observations were wrongly taken as 30 and 70 in place of 3 and 27 respectively, find the correct standard deviation.

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While calculating the mean and variance of 10 readings, a student wrongly used the reading 52 for the correct reading 25. He obtained the mean and variance as 45 and 16 respectively. Find the correct mean and the variance.

 25

Mean deviation for n observations x1, x2, ..., xn from their mean is given by

 26

When tested, the lives (in hours) of 5 bulbs were noted as follows:

1357, 1090, 1666, 1494, 1623


The mean deviations (in hours) from their mean is