Question

Given below are the marks obtained by 40 students in an examination:

40, 56, 24, 41, 51, 22, 59, 12, 26, 46,

51, 14, 23, 59, 58, 29, 41, 35, 36, 40,

42, 43, 36, 33, 38, 52, 23, 24, 13, 55,

18, 54, 20, 57, 30, 24, 43, 50, 26, 15.

1.Taking class intervals 10-20, 20-30, ….., 50-60; Construct a frequency distribution

table.
2. for the frequency distribution obtained in (1.) find the mean using
i. Direct method
ii. short cut method
iii. step deviation method
please answer:)​

Answer 1

Answer:

Marks in Ascending Order:

3, 3, 4, 5, 6, 6, 7, 8, 8, 8, 9, 10, 10, 10, 10, 11, 11, 12, 13, 14, 14, 14, 14, 15, 15, 16, 16, 17, 17, 18, 18, 18, 18 ,19, 19, 21, 22, 22, 22, 25

Marks in Descending Order:

25, 22, 22, 22, 21, 19, 19, 18, 18, 18, 18, 17, 17, 16, 16, 15, 15, 14, 14, 14, 14, 13, 12, 11, 11, 10, 10, 10, 10, 9, 8, 8, 8, 7, 6, 6, 5, 4, 3, 3