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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.
(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?
Solution
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|)` | | 6 |
| 20 | `cancel(bb|bb|bb|bb|)` |||| | 9 |
| 21 | `cancel(bb|bb|bb|bb|)` | | 6 |
| 22 | |||| | 4 |
(a) Number of carrots having length more than 20 cm = 6 + 4 = 10
(b) From the table, maximum number of carrots = 9 and minimum number of carrots = 4
Length of carrots occurring maximum number of times = 20 cm and length of carrot occurring minimum number of times = 22 cm
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