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The distance (in km) of 40 engineer from their residence to their place of work were found as follows

5, 3, 10, 20, 25, 11, 13, 7

12, 31, 19, 10, 12, 17, 18, 11

32, 17, 16, 2, 7, 9, 7, 8

3, 5, 12, 15, 18, 3, 12, 14

2, 9, 6, 15, 15, 7, 6, 12

The Maximum no. of engineers is for distance intervals

Sub Grade: 9

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20-25 km and 25-30 km

5 – 10 km and 10 – 15 km

20-25 km and 10 – 15 km

5 – 10 km and 25-30 km

answer is A.

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Detailed Solution

Distribution (in km)	Tally	No. of engineers
0-5		5
5-10		11
10-15		11
15-20		9
20-25		1
25- 30		1
30-35		2

This is the frequency distribution table for the given data.
We Observe:

Minimum no. of engineers 1, for both distance intervals 20-25 km and 25-30 km.

Maximum no. of engineers 11, for both distance intervals 5 – 10 km and 10 – 15 km.

Very few engineers have their home at more than and equal to 20 km.

Most of the engines have their homes at distance of 0- 15km.

Therefore option 1 is the correct answer.

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