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Question

Find mean median and mode

No.of plants.  0-2.  2-4.  4-6.  6-8.  8-10. 10-12. 12-14

No.Of houses 1.    2.        1.       5.       6.     2.          3


Solution

Soln:

Let us find class marks (xi­) = (upper class limit + lower class limit)/2

Now we may compute xi and fixi as following.

Number of plants Number of house (fi) xi Fixi
0 – 2 1 1 1
2 – 4 2 3 6
4 – 6 1 5 5
6 – 8 5 7 35
8 – 10 6 9 54
10 – 12 2 11 22
12 – 14 3 13 39
Total N = 20   Sum = 162

From the table we may observe that

N = 20

Sum = 162

Mean ¯¯¯x = Sum/N

162/20 = 8.1

So mean number of plants per house is 8.1

We have used for the direct method values Xi and fi are very small

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