Find the mean of the following data- using direct method- - Class 0-10 10-20 20-30 30-40 40-50 50-60- Frequency 7 5 6 12 8 2- -

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Standard VIII

Mathematics

Finding Mean for Grouped Data When Class Intervals Are Given

Find the mean...

Question

Find the mean of the following data, using direct method:
$\begin{matrix} Class & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 & 50 - 60 Frequency & 7 & 5 & 6 & 12 & 8 & 2 \end{matrix}$

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Solution

Class Frequency ( $f_{i}$ ) Mid Values ( $x_{i}$ ) ( $f_{i} x_{i}$ )

0 - 10 7 5 35

10-20 5 15 75

20 -30 6 25 150

30 -40 12 35 420

40 -50 8 45 360

50 - 60 2 55 110

Total $\sum f_{i}$ = 40 $\sum f_{i} x_{i}$ =1150

Therefore, Mean, $¯ x = \frac{\sum f_{i} x_{i}}{\sum f_{i}}$

= 1150/40 = 28.75

Therefore, $¯ x$ = 28.75

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Class	Frequency ( $f_{i}$ )	Mid Values ( $x_{i}$ )	( $f_{i} x_{i}$ )
0 - 10	7	5	35
10-20	5	15	75
20 -30	6	25	150
30 -40	12	35	420
40 -50	8	45	360
50 - 60	2	55	110
Total	$\sum f_{i}$ = 40		$\sum f_{i} x_{i}$ =1150

Find the mean of the following data, using direct method: Class0−1010−2020−3030−4040−5050−60Frequency7561282

Class Frequency (fi) Mid Values (xi) (fixi) 0 - 10 7 5 35 10-20 5 15 75 20 -30 6 25 150 30 -40 12 35 420 40 -50 8 45 360 50 - 60 2 55 110 Total ∑fi = 40 ∑fixi =1150 Therefore, Mean, ¯x=∑fixi∑fi = 1150/40 = 28.75 Therefore, ¯x= 28.75

Find the mean of the following data, using direct method:
$\begin{matrix} Class & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 & 50 - 60 Frequency & 7 & 5 & 6 & 12 & 8 & 2 \end{matrix}$