Question

Okay so plz answer this question step by step,, thank you ​

Answer 1

Given:

Total number of students = 20

The marks of the students are 40, 22, 36, 27, 30, 12, 15, 20, 25, 31, 34, 36, 39, 41, 43, 48, 46, 36, 37 and 40.

To find:

The frequency distribution table with class size 10.

Solution:

We have, the marks of 20 students.

40, 22, 36, 27, 30, 12, 15, 20, 25, 31, 34, 36, 39, 41, 43, 48, 46, 36, 37, 40

Here,

Minimum value = 12

Maximum value = 48

We nee class intervals of size 10. So, the required class intervals are 10-20, 20-30, 30-40, 40-50. In these intervals, lower limit is excluded but the upper limit included.

The required frequency distribution table is

Class intervals      Marks                                                  Frequency

10-20                    12, 15                                                            2

20-30                   22, 27, 20, 25                                             4

30-40                   36, 30, 31, 34, 36, 39, 36, 37                      8

40-50                   40, 41, 43, 48, 46, 40                                  6

Total                                                                                        20

Therefore, the frequency distribution table is

Class intervals:      10-20        20-30        30-40         40-50         Total

Frequency      :          2                4                8                6                20