Question

A survey was conducted by a group of students as a part of their environment awareness programme, in which they collected the following data regarding the number of plants in 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 1 2 1 5 6 2 3
Which method did you use for finding the mean, and why?
A. 8.2 plants
B. 6.5 plants
C. 5.7 plants
D. None of these

Answer 1

The correct answer for the question from the given answer is option B. To find the mean number of plants per house, we multiply the number of plants by the number of houses, sum up the results, and divide by the total number of houses. The mean number of plants per house is 6.5 plants.

Step-by-step explanation:

To find the mean number of plants per house, we need to calculate the weighted average. We multiply each number of plants by the corresponding number of houses and then sum up these products. Then, we divide this sum by the total number of houses.

The calculations would be as follows:

(0-2) * 1 + (2-4) * 2 + (4-6) * 1 + (6-8) * 5 + (8-10) * 6 + (10-12) * 2 + (12-14) * 3 = X

Total number of houses = 1 + 2 + 1 + 5 + 6 + 2 + 3 = 20

Mean number of plants per house = X / 20

By performing the calculations, we find that the mean number of plants per house is 6.5 plants. Therefore, the correct answer is B.