Measures of Central Tendency - Mean

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Comment whether the following statement is true or false.

The arithmetic mean is a positional value.

If the arithmetic mean of the data given below is 28, find (a) the missing frequency, and (b) the median of the series:

Profit per retail shop (in Rs)	0 – 10	10 – 20	20 – 30	30 – 40	40 – 50	50 – 60
Number of retail shops	12	18	27	–	17	6

Which average would be suitable in the following case?

Average production in a factory per shift.

Which average would be suitable in the following case?

The average wage in an industrial concern.

Which average would be suitable in the following case?

When the sum of absolute deviations from average is least.

Indicate the most appropriate alternative from the multiple choices provided against the question.

Which average is affected most by the presence of extreme items?

Indicate the most appropriate alternative from the multiple choices provided against the question.

The algebraic sum of deviation of a set of n values from A.M. is

Following information pertains to the daily income of 150 families. Calculate the arithmetic mean.