# Solution - Mean of Grouped Data

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ConceptMean of Grouped Data

#### Question

The following table gives the frequency distribution of trees planted by different Housing Societies in a particular locality:

 No. of Trees No. of Housing Societies 10-15 2 15-20 7 20-25 9 25-30 8 30-35 6 35-40 4

Find the mean number of trees planted by Housing Societies by using ‘Assumed Means Method’

#### Solution

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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?

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Thirty women were examined in a hospital by a doctor and the number of heart beats per minute were recorded and summarized as follows. Fine the mean heart beats per minute for these women, choosing a suitable method.

 Number of heart beats per minute 65 − 68 68­ − 71 71 −74 74 − 77 77 − 80 80 − 83 83 − 86 Number of women 2 4 3 8 7 4 2
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The following table gives the literacy rate (in percentage) of 35 cities. Find the mean literacy rate

 Literacy rate (in %) 45 − 55 55 − 65 65 − 75 75 − 85 85 − 95 Number of cities 3 10 11 8 3

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To find out the concentration of SO2 in the air (in parts per million, i.e., ppm), the data was collected for 30 localities in a certain city and is presented below:

 concentration of SO2 (in ppm) Frequency 0.00 − 0.04 4 0.04 − 0.08 9 0.08 − 0.12 9 0.12 − 0.16 2 0.16 − 0.20 4 0.20 − 0.24 2

Find the mean concentration of SO2 in the air.

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The following distribution shows the daily pocket allowance of children of a locality. The mean pocket allowance is Rs.18. Find the missing frequency f.

 Daily pocket allowance (in Rs 11­ − 13 13­ − 15 15 −17 17 − 19 19 − 21 21 − 23 23 − 25 Number of workers 7 6 9 13 f 5 4
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Solution for concept: Mean of Grouped Data. For the course 9th - 10th SSC (English Medium)
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