EXERCISE 14.1
1. A survey was conducted by a group of students as a part of their environment awaren
programme, in which they collected the following data regarding the number of plan
20 houses in a locality. Find the mean number of plants per house.
Number of plants
0-2
2-4
4-6
6-8
8-10
10-12
12-14
Number of houses
5
6
2
نی
Which method did you use for finding the mean, and why? Direct method
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Answer:
To find the class mark (xi) for each interval the following relation is used.class mark xi =upper limit+ lower limit x and f (x) can be calculate as follows
2
Numbers of plants,
0-2
2-4
4-6
6-8
8-10
10-12
12-14
total
Numbers of houses (f)
1
2
1
5
6
2
3
total 20
xi
1
3
5
7
9
11
13
fixi
1✖1=1
2✖3=6
1✖5=5
5✖7=35
6✖9=54
2✖11=22
3✖13=34
total 162
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