Economy, asked by harmeenchohan01, 9 months ago

calculate the mode of following distribution
Marks 10-19 20-29 30-39 40-49 50-59 60-69 70-79 80-89 90-99
number of students 29 87 181 247 263 133 40 9 2​

Answers

Answered by indugrover54
5

Answer:

50-59. 263

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harmeenchohan01: Solve with full method
Answered by amitnrw
9

Given :  Distribution of Marks of Students

To find : Mode of Distribution

Solution:

Marks     10-19 20-29 30-39 40-49 50-59 60-69 70-79 80-89 90-99

students 29       87        181     247     263        133    40       9           2​

Class                         f               cf

9.5 - 19.5                 29            29

19.5 - 29.5               87            116

29.5 - 39.5              181            297

39.5 - 49.5              247           544

49.5 - 59.5              263           807

59.5 - 69.5              133            940

69.5 - 79.5               40            980

79.5 - 89.5               9              989

89.5 - 99.5               1               991

Maximum frequency  263 from 49.5 - 59.5      

Mode  =  49.5  +  10 * ( 263 - 247)/(263 - 247 + 263 - 133)

= 49.5 +  10 * 16 / 146

= 49.5 + 1.1

= 50.6

Mode = 50.6

Median will lie in  39.5 - 49.5

Median = 39.5  +   10 * ( 991/2 - 297)/247

= 39.5 +  8

= 47.5

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