Q29 of 37 Page 14

The table below shows the salaries of 280 persons: [CBSE 2018]

Calculate the median salary of the data.

Where N = total samples

C.F = Cumulative frequency of class preceding median class

f = Frequency of the median class

h = width of the Class interval

l = Lower limit of median class

(Note: The median class is the class under which observation falls)

, which falls in (10 – 15) which is now the median class

Putting necessary values in the formulae

= 10 + 3.421

= 13.421 thousand rupees

The daily expenditure of 100 families are given below. Calculate f₁ and f₂ if the mean daily expenditure is Rs.188.[CBSE 2014]

Expenditure (in Rs.)	140 - 160	160 - 180	180 - 200	200 - 220	220 - 240
Number of families	5	25	f₁	f₂	5

In a hospital, the ages of diabetic patients were recorded as follows. Find the median age.[CBSE 2014]

Age (in years)	0 - 15	15 - 30	30 - 45	45 - 60	60 - 75
Number of patients	5	20	40	50	25

Find the mean, median and mode of the following data: [CBSE 2008]

Class	0 - 20	20 - 40	40 - 60	60 - 80	80 - 100	100 - 120	120 - 140
Frequency	6	8	10	12	6	5	3

A survey regarding the heights (in cm) of 50 girls of a class was conducted and the following data was obtained:

Height (in cm)	120 - 130	130 - 140	140 - 150	150 - 160	160 - 170	Total
Total Number of girls	2	8	12	20	8	50

Find the mean, median and mode of the above data. [CBSE 2008]