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Frequently Asked Questions on Chapter 14 Statistics

In a continuous frequency distribution, the median of the data is 21. If each observation is increased by 5, then find the new median.

New median = 21 + 5

= 26

Find the median of the data using an empirical formula, when it is given that mode = 35.3 and mean = 30.5.

Mode = 3(Median) – 2(Mean)

35.3 = 3(Median) – 2(30.5)

35.3 = 3(Median) – 61

96.3 = 3 Median

Median = 96.3/3

= 32.1

Hence, median is 32.1

Show that the mode of the series obtained by combining the two series S1 and S2 given below is different from that of S1 and S2 taken separately
S1 : 3, 5, 8, 8, 9, 12, 13, 9, 9
S2 : 7, 4, 7, 8, 7, 8, 13

In S1 : Number 9 occurs 3 times (maximum)

Hence, Mode of S1 Series = 9

In S2 : Number 7 occurs 3 times (maximum)

Hence, Mode of S2 Series = 7

After combination:

In S1 & S2 : Number 8 occurs 4 times (maximum)

Therefore, Mode of S1 & S2 taken combined = 8

So, the mode of S1 & S2 combined is different from that of S1 & S2 taken separately.