Question 100(ii)

Construct a frequency distribution table for the following weights (in grams) of 35 mangoes, using the equal class intervals, one of them is 40-45 (45 not included):
30, 40, 45, 32, 43, 50, 55, 62, 70, 70, 61, 62, 53, 52, 50, 42, 35, 37,
53, 55, 65, 70, 73, 74, 45, 46, 58, 59, 60, 62, 74, 34, 35, 70, 68
Which weight group has the highest frequency ?

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Solution

The weight group 70-75 has the highest frequency, i.e. 7.

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Question 100(i)

Construct a frequency distribution table for the following weights (in grams) of 35 mangoes, using the equal class intervals, one of them is 40-45 (45 not included):
30, 40, 45, 32, 43, 50, 55, 62, 70, 70, 61, 62, 53, 52, 50, 42, 35, 37,
53, 55, 65, 70, 73, 74, 45, 46, 58, 59, 60, 62, 74, 34, 35, 70, 68
How many classes are there in the frequency distribution table ?

Q. By taking classes

30 - 40, 40 - 50, 50 - 60, . . .

, construct a frequency table for the following data:

65, 34, 74, 49, 52, 35, 71, 55, 61, 40, 56, 38, 52, 56, 52, 33, 60, 35, 49, 37, 53, 50, 44, 30, 62, 50, 47, 45, 47, 50, 63, 61, 54, 58, 47, 64, 37, 38, 44, 42, 47, 55, 70, 33, 75, 49, 47, 30, 60, 69

Also, construct a combined histogram and frequency polygon for the distribution.

In the frequency distribution table for the following weights (in grams) of 35 mangoes, of equal class intervals, one of them is 40-45 (45 not included):
30, 40, 45, 32, 43, 50, 55, 62, 70, 70, 61, 62, 53, 52, 50, 42, 35, 37,
53, 55, 65, 70, 73, 74, 45, 46, 58, 59, 60, 62, 74, 34, 35, 70, 68
How many classes are there in the frequency distribution table?

Wages of 50 workers are given. Present them in the form of exclusive frequency distribution with class interval as 45 - 55, 55 - 65 etc.

$\begin{matrix} 95 & 92 & 91 & 90 & 88 & 82 & 86 & 87 & 87 & 88 & 70 & 72 & 76 & 77 & 77 79 & 79 & 79 & 78 & 78 & 68 & 67 & 67 & 66 & 65 & 62 & 62 & 62 & 62 & 64 58 & 59 & 60 & 60 & 60 & 60 & 61 & 62 & 62 & 62 & 55 & 55 & 55 & 56 & 57 54 & 53 & 52 & 52 & 50 \end{matrix}$

Q. Following are the marks (out of 100) obtained by 50 students in statistics:

70	55	51	42	57	45	60	47	63	53
33	65	39	82	55	64	58	61	65	42
50	52	53	45	45	25	36	59	63	39
65	54	49	54	64	75	42	41	52	35
30	35	15	48	26	20	40	55	46	18

make a frequency distribution taking the first class interval as 0-10.

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70	55	51	42	57	45	60	47	63	53
33	65	39	82	55	64	58	61	65	42
50	52	53	45	45	25	36	59	63	39
65	54	49	54	64	75	42	41	52	35
30	35	15	48	26	20	40	55	46	18

70	55	51	42	57	45	60	47	63	53
33	65	39	82	55	64	58	61	65	42
50	52	53	45	45	25	36	59	63	39
65	54	49	54	64	75	42	41	52	35
30	35	15	48	26	20	40	55	46	18

70	55	51	42	57	45	60	47	63	53
33	65	39	82	55	64	58	61	65	42
50	52	53	45	45	25	36	59	63	39
65	54	49	54	64	75	42	41	52	35
30	35	15	48	26	20	40	55	46	18