CLASS INTERVAL
$0 - 7$
$7 - 14$
$14 - 21$
$21 - 28$
$28 - 35$
$35 - 42$
$42 - 49$
FREQUENCY
$19$
$25$
$36$
$72$
$51$
$43$
$28$
The arithmetic mean for the following frequency distribution is

26.5

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42.3

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43.8

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29.5

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Solution

The correct option is C $26.5$
By definition,
$A M = \frac{\sum (f . x)}{\sum f}$
$= \frac{3.5 \times 19 + 10.5 \times 25 + 17.5 \times 36 + 24.5 \times 72 + 31.5 \times 51 + 38.5 \times 43 + 45.5 \times 28}{19 + 25 + 36 + 72 + 51 + 43 + 28}$
$= \frac{7259}{274} = 26.49 \approx 26.5$

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Similar questions

Q. Find the mode for the following data: (

4

and

5

)

Class	$0 - 7$	$7 - 14$	$14 - 21$	$21 - 28$	$28 - 35$	$35 - 42$	$42 - 49$	$49 - 56$
Area	$26$	$31$	$35$	$42$	$82$	$71$	$54$	$19$

Q. Find the approximate value of mode for the following data

:

Class interval	$7 - 14$	$14 - 21$	$21 - 28$	$28 - 35$	$35 - 42$
Frequency	$2$	$4$	$3$	$10$	$1$

Q. Find the arithmetic mean of each of the following frequency distributions using step-deviation method:

Marks	0-14	14-28	28-42	42-56	56-70
Number of students	7	21	35	11	16

Q. Compute the median from the following data:

Marks	0-7	7-14	14-21	21-28	28-35	35-42	42-49
Number of students	3	4	7	11	0	16	9

Compute the median from the following data:
$\begin{matrix} Marks & 0 - 7 & 7 - 14 & 14 - 21 & 21 - 28 & 28 - 35 & 35 - 42 & 42 - 49 Numbers of students & 3 & 4 & 7 & 11 & 0 & 16 & 9 \end{matrix}$

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CLASS INTERVAL0−77−1414−2121−2828−3535−4242−49FREQUENCY19253672514328The arithmetic mean for the following frequency distribution is

The correct option is C 26.5By definition,AM=∑(f.x)∑f =3.5×19+10.5×25+17.5×36+24.5×72+31.5×51+38.5×43+45.5×2819+25+36+72+51+43+28 =7259274=26.49≈26.5

CLASS INTERVAL
$0 - 7$
$7 - 14$
$14 - 21$
$21 - 28$
$28 - 35$
$35 - 42$
$42 - 49$
FREQUENCY
$19$
$25$
$36$
$72$
$51$
$43$
$28$
The arithmetic mean for the following frequency distribution is

The correct option is C $26.5$
By definition,
$A M = \frac{\sum (f . x)}{\sum f}$
$= \frac{3.5 \times 19 + 10.5 \times 25 + 17.5 \times 36 + 24.5 \times 72 + 31.5 \times 51 + 38.5 \times 43 + 45.5 \times 28}{19 + 25 + 36 + 72 + 51 + 43 + 28}$
$= \frac{7259}{274} = 26.49 \approx 26.5$