Find the mean nbsp-c-i- nbsp-0-50 nbsp- 50-100 nbsp- 100-150 nbsp- 150-200 nbsp- nbsp-200-250 nbsp- 250-300-f nbsp- nbsp- nbsp- 17 nbsp- nbsp- nbsp- nbsp- 35 nbsp- nbsp- nbsp- nbsp- nbsp- 43 nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- 40 nbsp- nbsp- nbsp- nbsp- nbsp- nbsp-21 nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- 24

Dear student Class Interval Frequency fi Mid values xi di=xi A ui=dih fiui 0 50 17 25 100 2 34 50 10 ...

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Byju's Answer

Standard VIII

Mathematics

Introduction to Statistics

find the mean...

Question

find the mean
c.i. 0-50 50-100 100-150 150-200 200-250 250-300
f 17 35 43 40 21 24

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Solution

Dear student

Class Interval Frequency f_i Mid-values x_i $d_{i} = x_{i} - A$ $u_{i} = \frac{d_{i}}{h}$ $f_{i} u_{i}$

0-50 17 25 -100 -2 -34

50-100 35 75 -50 -1 -35

100-150 43 125 0 0 0

150-200 40 175 50 1 40

200-250 21 225 100 2 42

250-300 24 275 150 3 72

$N = \sum_{} f_{i}$ =180 $\sum_{} f_{i} u_{i}$ =85

$Here, N = 180, A = 125, h = 50 Therefore, Mean = A + h \{\frac{1}{N} \sum_{} f_{i} u_{i}\} = 125 + 50 \{\frac{85}{180}\} = 125 + 23.61 = 148.61$
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Class Interval	Frequency f_i	Mid-values x_i	$d_{i} = x_{i} - A$	$u_{i} = \frac{d_{i}}{h}$	$f_{i} u_{i}$
0-50	17	25	-100	-2	-34
50-100	35	75	-50	-1	-35
100-150	43	125	0	0	0
150-200	40	175	50	1	40
200-250	21	225	100	2	42
250-300	24	275	150	3	72
	$N = \sum_{} f_{i}$ =180				$\sum_{} f_{i} u_{i}$ =85

find the mean c.i. 0-50 50-100 100-150 150-200 200-250 250-300 f 17 35 43 40 21 24

find the mean
c.i. 0-50 50-100 100-150 150-200 200-250 250-300
f 17 35 43 40 21 24