Q23 of 79 Page 25

Find the sum of the deviations of the variable values 3, 4, 6, 7, 8, 14 from their mean.

Values are 3, 4, 6, 7, 8, 14

Therefore, Mean =


=


= 42/6


= 7


Therefore, sum of deviation of values from their mean


= (3 – 7) + (4 – 7) + (6 – 7) + (7 – 7) + (8 – 7) + (14 – 7)


= (-4) + (-3) + (-1) + (0) + (1) + (7)


= - 8 + 8


= 0


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21

Find the values of n and in each of the following cases:

(i) = -10 and = 62


(ii) = 30 and = 150

 22

The sums of the deviations of a set of n values x1, x2, x3,…., xnmeasured from 15 and -3 are -90 and 54 respectively. Find the value of n and mean.

 24

If is the mean of the ten natural numbers, x1, x2, x3,…., x10, show that

(x1-)+(x2-)+ ….+(x10-)= 0.

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Calculate the mean for the following distribution:



















x :



5



6



7



8



9



f :



4



8



14



11



3