Question

The marks obtained (out of 50) by 40 students in a test are given below:
28, 31, 45, 03, 05, 18, 35, 46, 49, 17, 10, 28, 31, 36, 40, 44, 47, 13, 19, 25, 24, 31, 38, 32,
27, 19, 25, 28, 48, 15, 18, 31, 37, 46, 06, 01, 20, 10, 45, 02.
© Taking class intervals 1 – 10, 11 – 20, ..., construct a tally chart and a frequency
distribution table.
(i) Convert the above distribution to continuous distribution.
(ii) State the true class limits of the third class.
(iv) State the class mark of the fourth class.
the adjoining table to find:
Frequency
Class

Answer 1

Answer:

Frequency table both before and after adjustment ☝️

Step-by-step explanation:

i) Use the adjustment factor to convert to continuous distribution

Adjustment factor = lower limit of one class - upper limit of previous class/2

11 - 10 / 2 = 0.5

ii) true class limited to be written after adjustment

20.5_30.5 ( true class limited )

iv) Apply class mark formula with the respective class

30.5+40.5/2= 35.5.