Question

In a shop, different sizes of shoes sold in a week are represented in an ungrouped frequency distribution table shown below.

Show size	Frequency (Shoes sold)
3	2
4	2
5	3
6	6
7	6
8	6
9	5
10	2
11	2
12	1

How many shoes of size 10 or less than 10 are sold out in a week?

• A. 2
• B. 30
• C. 32
• D. 35

Answer 1

The correct option is C 32

The progressive sum of the frequencies from the first data value to a particular data value is less than cumulative frequency.

Less than cumulative frequency distribution is given below.

Show size	Frequency (Shoes sold)	Cumulative Frequency
3	2	2+0=2
4	2	2+2=4
5	3	3+4=7
6	6	6+7=13
7	6	6+13=19
8	6	6+19=25
9	5	25+5=30
10	2	30+2=32
11	2	32+2=34
12	1	34+1=35

Hence, the number of sold-out shoes of size 10 or less than 10 is 32.