Question

following distribution gives the marks obtained, out of 150, by the students of class IX in their class test. find the mean and mode of the data for the following: table data: marks, and no. of students: 1. 10 students got 0-25, 2. 15 students got 25-50, 3. 22 students got 50-75, 4. 30 students got 75-100, 5. 28 students got 100-125, 6. 27 students got 125-150, 7. 12 students got 150-175, 8. 6 students got 175-200 marks.​

Answer 1

Mean =  97.5  & Mode = 95  of the marks obtained, out of 150, by the students of class IX in their class test.

Step-by-step explanation:

Class         Frequency     Mean Class  (mean -87.5/)25      freq *

0-25               10                 12.5                 -3                         -30

25-50             15                 37.5                -2                          -30

50-75             22                 62.5               -1                           -22

75-100            30                 87.5                0                            0

100-125           28                 112.5                1                           28

125-150           27                 137.5                2                          54

150-175           12                 162.5                 3                          36

175-200           6                  187.5                4                           24

                       150                                                                     60

Mean =  87.5   +  60 * 25 / 150

= 87.5  + 10

= 97.5

Mean =  97.5

Mode  lies in 75 - 100

Mode =  75   +  25 *( 30 - 22) /( 2 * 30 - 22 - 28)

= 75 + 20

= 95

Mode = 95

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Answer 2

Answer:

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