From the following cumulative frequency table , find : Median Low… - Vidyadip

Question

From the following cumulative frequency table , find :
Median
Lower quartile
Upper quaetile

Marks (less than )	10	20	30	40	50	60	70	80	90	100
Cumulative frequency	5	24	37	40	42	48	70	77	79	80

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Answer

Marks (less than)	Cumulative frequency
10	5
20	24
30	37
40	40
50	42
60	48
70	70
80	77
90	79
100	80

Number of terms= 80
Median= $40^{th}$term

Median= Through $40^{th}$ term mark draw a line parallel to the x-axis which meets the curve at A. from A, Draw a perpendiculer to axis which meets it at B.
Value of B is the median - 40
Lower quartile $(Q_1) = 20^{th}$ term=18
Upeer Quartile $(Q_3) = 60^{th}$ term = 66

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