Question

Question 1
Calculate value of chi-square and determine whether there is a significant difference in college aptitude test between the groups.
Score
0-9
10-19 20-29 30-39 40-49 50-59
60-69
70-79 80-89
90 - 99
Group A
71
68
66
47
51
39
43
39
33
18
Group B
22 8
14
12
3
13
3
14
12
10
​

Answer 1

Answer:

The frequency distribution table for the given marks can be drawn as:

(i) The class interval (40−49) has the highest frequency and the class interval (90−99) has the lowest frequency.

(ii) In the class interval (30−39), the lower limit is 30 − 0.5 = 29.5 and the upper limit is

39 + 0.5 = 39.5.

(iii) The range of the given distribution is 97− 32 = 65.