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.

A. What is the number of carrots which have length more than 20 cm?

B. Which length of the carrots occur maximum number of times? Minimum number of times?

Tally marks means hash marks they are in the form of numerals used for counting.

Like 4 is written as means four line

And 5 is written as four lines with cross line.

Now after counting numbers of carrots having length 15cm =5

Numbers of carrots having length 18cm =6

Numbers of carrots having length 20cm =9

Numbers of carrots having length 21cm =6

Numbers of carrots having length 22cm =4

now arranging above in the form of table of tally marks

a) Numbers of carrots having length more than 20cm =6+4 =10cm

b) From the table, maximum number of carrots =9 which occurs at length 20cm and min no carrots =4 which occurs at length 22cm

Hence length of carrots occurring maximum number of time =20cm

And length of carrots occurring minimum number of time =22cm