Out of Range, Quartile Deviation, Mean Deviation and Standard Deviation, which one suits the best in terms of following Parameters:

(i) Ease of Calculation

(ii) Based on all the items

(iii) Less effect of Extreme Items

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Solution

(i) Range is the easiest to calculate.

(ii) Both Mean Deviation and Standard Deviation are based on all the items of the series.

(iii) Mean Deviation is less affected by extreme values.

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Similar questions

State with reason whether the following statements are True or False:

(i) Sum of square of the deviations of items from their arithmetic mean is the maximum.

(ii) Standard Deviation is based on all values.

(iii) For a given set of observations, standard deviation is always more than mean deviation from mean.

Mean and standard deviation of two distributions of 100 and 150 items are 50, 5 and 40, 6 respectively. Find the standard deviation of all the 250 items taken together.

Q. The mean and standard deviation of a series of 20 items are 20 and 5 respectively. While calculating these measures, an item of 13 was wrongly read as 30. Find out the correct mean and standard deviation.

Q. The mean and standard deviation of

50

items were found to be

75

and

10

respectively. At the time of checking it was found that one item

65

was incorrect. Calculate the mean and standard deviation, if the wrong item is omitted.

Q. Calculate the number of items, when
(i) Standard deviation of series Y = 10
(ii) Coefficient of correlation = 0.6
(iii) Sum of the product of deviation of X and Y from actual means = 150
(iv) Sum of squares of deviations of X from actual means = 125

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Out of Range, Quartile Deviation, Mean Deviation and Standard Deviation, which one suits the best in terms of following Parameters: (i) Ease of Calculation (ii) Based on all the items (iii) Less effect of Extreme Items

(i) Range is the easiest to calculate. (ii) Both Mean Deviation and Standard Deviation are based on all the items of the series. (iii) Mean Deviation is less affected by extreme values.

Out of Range, Quartile Deviation, Mean Deviation and Standard Deviation, which one suits the best in terms of following Parameters:

(i) Ease of Calculation

(ii) Based on all the items

(iii) Less effect of Extreme Items

(i) Range is the easiest to calculate.

(ii) Both Mean Deviation and Standard Deviation are based on all the items of the series.

(iii) Mean Deviation is less affected by extreme values.