Question

The lengths in centimetres (to the nearest centimetre) of 30 carrots are given as follows:

15, 22, 21, 20, 22, 15, 15, 20, 20, 15, 20, 18, 20, 22, 21, 20, 21, 18, 21, 18, 20, 18, 21, 18, 22, 20, 15, 21, 18, 20

Arrange the data given above in a table using tally marks and answer the following questions.

1. What is the number of carrots which have length more than 20 cm?
2. Which length of the carrots occur maximum number of times? Minimum number of times?

Answer 1

On arranging the given data in a table using tally marks, as shown below table

Length of carrot (in cm)	Tally marks	Numbers of carrots
15	`cancel(bb|bb|bb|bb|)`	5
18	`cancel(bb|bb|bb|bb|) bb|`	6
20	`cancel(bb|bb|bb|bb|) bb|bb|bb|bb|`	9
21	`cancel(bb|bb|bb|bb|) bb|`	6
22	`bb|bb|bb|bb|`	4
Total		30

1. The number of carrots which have length more than 20 cm = 6 + 4 = 10.
2. The carrots of the length 20 cm occur maximum number of times and the carrots of the length 22 cm occur minimum number of times.