Measures of Central Tendency

Which average would be suitable in the following cases?

Comment whether the following statements are true or false.

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

The following table gives the daily income of ten workers in a factory. Find the arithmetic mean. Workers A B C D E F G H I J Daily Income (in Rs) 120 150 180 200 250 300 220 350 370 260

Following information pertains to the daily income of 150 families. Calculate the arithmetic mean. Income (in Rs) Number of families More than 75 150 ,, 85 140 ,, 95 115 ,, 105 95 ,, 115 70 ,, 125 60 ,, 135 40 ,, 145 25

The size of land holdings of 380 families in a village is given below. Find the median size of land holdings. Size of Land Holdings (in acres) Less than 100 100–200 200 – 300 300–400 400 and above. Number of families 40 89 148 64 39

The following table gives production yield in kg. per hectare of wheat of 150 farms in a village. Calculate the mean, median and mode values. Production yield (kg. per hectare) 50–53 53–56 56–59 59–62 62–65 65–68 68–71 71–74 74–77 Number of farms 3 8 14 30 36 28 16 10 5