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Question

Represent the following data in the form of a frequency distribution table :
16, 17, 21, 20, 16, 20, 16, 18,17, 21, 17, 18, 19, 17, 15, 15,
19, 19, 18, 17, 17, 15, 15, 16, 17, 17, 19, 18, 17, 16, 15, 20, 16, 17, 19, 18, 19, 16, 21, and 17.

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Solution

Step 1: Arranging numbers in ascending order
Given,
16, 17, 21, 20, 16, 20, 16, 18, 17, 21, 17, 18, 19, 17, 15, 15, 19, 19, 18, 17, 17, 15, 15, 16, 17, 17, 19, 18, 17, 16, 15, 20, 16, 17, 19, 18, 19, 16, 21, and 17.
Required ascending order:
15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 20, 20, 20.
Hence, above is the required ascending order of given numbers.
Step 2: Representing the given data in the frequency distribution table
Hence, required frequency distribution table :
Numbers Tally Marks Frequency
15

||||

5
16

|||| ||

7
17

|||| |||| |

11
18

||||

5
19 |||| | 6
20

|||

3
21

|||

3
Total 40

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