__Frequently Asked Questions on Chapter 14 Statistics__

__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 separatelyS1 : 3, 5, 8, 8, 9, 12, 13, 9, 9S2 : 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.