Question

Construct a frequency distribution table for the following weights (in grams) of 35 mangoes, using the equal class intervals, one of them is 40 – 45 (45 not included).

30, 40, 45, 32, 43, 50, 55, 62, 70, 70, 61, 62, 53, 52, 50, 42, 35, 37, 53, 55, 65, 70, 73, 74, 45, 46, 58, 59, 60, 62, 74, 34, 35, 70, 68.

1. How many classes are there in the frequency distribution table?
2. Which weight group has the highest frequency?

Answer 1

Class interval	Tally marks	Frequency
30 – 35	`bb|bb|bb|`	3
35 – 40	`bb|bb|bb|`	3
40 – 45	`bb|bb|bb|`	3
45 – 50	`bb|bb|bb|`	3
50 – 55	`\cancel(bb|bb|bb|bb|)`	5
55 – 60	`bb|bb|bb|bb|`	4
60 – 65	`\cancel(bb|bb|bb|bb|)`	5
65 – 70	`bb|bb|`	2
70 – 75	`\cancel(bb|bb|bb|bb|) bb|bb|`	7
Total		35

1. There are total number of 9 classes in the frequency distribution table.
2. The weight group 70 – 75 has the highest frequency i.e. 7.