Find the mean of the following frequency distribution:

Class interval: 25-29 30-34 35-39 40-44 45-49 50-54 55-59
Frequency: $14$ $22$ $16$ $6$ $5$ $3$ $4$

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Solution

Answer:-
class interval Mid-point
$x_{i}$ Frequency
$f_{i}$ $f_{i} x_{i}$
25-29 27 14 378
30-34 32 22 704
35-39 37 16 592
40-44 42 6 252
45-49 47 5 235
50-54 52 3 156
55-59 57 4 228
$Σ f_{i} = 70$ $Σ f_{i} x_{i} = 2545$
$M e a n = \frac{Σ f_{i} x_{i}}{Σ f_{i}} = \frac{2545}{70} = 36.36$

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Q. Find the arithmetic mean for the following grouped frequency distribution:

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Class interval:	25-29	30-34	35-39	40-44	45-49	50-54	55-59
Frequency:	$14$	$22$	$16$	$6$	$5$	$3$	$4$

class interval	Mid-point $x_{i}$	Frequency $f_{i}$	$f_{i} x_{i}$
25-29	27	14	378
30-34	32	22	704
35-39	37	16	592
40-44	42	6	252
45-49	47	5	235
50-54	52	3	156
55-59	57	4	228
		$Σ f_{i} = 70$	$Σ f_{i} x_{i} = 2545$

Find the mean of the following frequency distribution:Class interval:25-2930-3435-3940-4445-4950-5455-59Frequency:1422166534

Answer:-class interval Mid-point xi Frequencyfi fixi 25-29 27 14 378 30-34 32 22 704 35-39 37 16 592 40-44 42 6 252 45-49 47 5 235 50-54 52 3 156 55-59 57 4 228 Σfi=70 Σfixi=2545 Mean=ΣfixiΣfi=254570=36.36

Find the mean of the following frequency distribution:

Class interval: 25-29 30-34 35-39 40-44 45-49 50-54 55-59
Frequency: $14$ $22$ $16$ $6$ $5$ $3$ $4$

Answer:-
class interval Mid-point
$x_{i}$ Frequency
$f_{i}$ $f_{i} x_{i}$
25-29 27 14 378
30-34 32 22 704
35-39 37 16 592
40-44 42 6 252
45-49 47 5 235
50-54 52 3 156
55-59 57 4 228
$Σ f_{i} = 70$ $Σ f_{i} x_{i} = 2545$
$M e a n = \frac{Σ f_{i} x_{i}}{Σ f_{i}} = \frac{2545}{70} = 36.36$