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A FLATOUN social and financial educational programme initiated savings programme among the high school children in Hyderabad district. Mandal wise savings in a month are given in the following table

Mandal No. of schools Total amount saved (in rupees
Amberpet 6 2154
Thirumalgiri 6 2478
Saidabad 5 975
Khairathabad 4 912
Secunderabad 3 600
Bahadurpura 9 7533

Find arithmetic mean of school wise savings in each mandal. Also find the arithmetic mean of saving of all schools.

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Mandal No. of schools fi Amount saved fixi School average in rupees = \(\frac {f_ix_i}{f_i}\)
Amberpet 6 2154 \(\frac {2154}{6}\) 359
Thirumalgiri 6 2478 \(\frac {2478}{6}\) = 413
Saidabad 5 975 \(\frac {975}{5}\) = 195
Khairathabad 4 912 \(\frac {912}{4}\) = 228
Secunderabad 3 600 \(\frac {600}{3}\) = 200
Bahadurpura 9 7533 \(\frac {7533}{9}\) = 837

Σfi = 33 

Σfi xi = 14652

Mean = \(\frac {\sum f_ix_i}{\sum f_i}\)

\(\overline x = \frac {14652}{33}\) = ₹ 444 (Mean savings per school)

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