Find the mean of the following frequency distribution:

Class interval: 50-70 70-90 90-110 110-130 130-150 150-170
Frequency: $18$ $12$ $13$ $27$ $8$ $22$

Open in App

Solution

Class interval $x_{i}$ Frequency
$(f_{i})$ $f_{i} x_{i}$
50-70 60 18 1080
70-90 80 12 960
90-110 100 13 1300
110-130 120 27 3240
130-150 140 8 1120
150-170 160 22 3520

$Σ f_{i} = 100$ $Σ f_{i} x_{i} = 11220$
$m e a n = \frac{Σ f_{i} x_{i}}{Σ f_{i}} = \frac{11220}{100} = 112.20$

Suggest Corrections

Similar questions

C.I.	50-70	70-90	90-110	110-130	130-150	150-170
Frequency	8	12	13	27	18	22

C.I.	50-70	70-90	90-110	110-130	130-150	150-170
Frequency	8	12	13	27	18	22

Class interval:	50-70	70-90	90-110	110-130	130-150	150-170
Frequency:	18	12	13	27	8	22

Class interval:	10−30	30−50	50−70	70−90	90−110	110−130
Frequency:	5	8	12	20	3	2

C.I	10-30	30-50	50-70	70-90	90-110	110-130	130-150
f	4	7	5	9	5	6	4

Join BYJU'S Learning Program