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Question 24

The length in centimetres (to the nearest centimetre) of 30 carrots are given as follows:
15, 22, 21, 20, 22, 15, 15, 20, 20, 15, 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 the length more than 20 cm?
(b) Which length of the carrots occurs the maximum and the minimum number of times?

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Solution

In order to deduce any information from the given data, we will arrange the given data in a table, using tally marks.We use the repetitions to construct a tally table as shown below.The number 1 is represented as I. The number 2 is represented as II and so on. But number 5 is represented as

Table with tally marks from the given information is shown below :


(a) number of carrots having length more than 20 cm = 6+4 = 10.
(b) from the table maximum number of carrots = length of carrot occurring the maximum number of times = 20 cm (9 times).
and length of carrot occurring the minimum number of times = 22 cm.


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