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Question

# The following table shows the electricity (in units) used by 25 families of Eklara village in a month of May. Complete the table and answer the following questions. Electricity used (units) xi No. of Families (frequency) fi fi×xi 30 7 ....... 45 2 ....... 60 8 ....... 75 5 ....... 90 3 ....... N = ....... ∑fixi =....... (1) How many families use 45 units electricity? (2) State the score, the frequency of which is 5. (3) Find N, and ∑fixi (4) Find the mean of electricity used by each family in the month of May.

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Solution

## The following table shows the electricity (in units) used by 25 families of Eklara village in a month of May. Complete the table and answer the following questions. Electricity used (units) xi No. of Families (frequency) fi fi×xi 30 7 30 × 7 = 210 45 2 45 × 2 = 90 60 8 60 × 8 = 480 75 5 75 × 5 = 375 90 3 90 × 3 = 270 N = 25 ∑fixi = 1425 (1) 2 families use 45 units electricity. (2) The score with a frequency of 5 is 75. (3) N = 25, and ∑fixi = 1425 (4) Since, $\mathrm{Mean}=\frac{\sum _{}{f}_{i}{x}_{i}}{N}\phantom{\rule{0ex}{0ex}}=\frac{1425}{25}\phantom{\rule{0ex}{0ex}}=57$ So, the mean of electricity used by each family in the month of May is 57.

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