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

Question

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.

Answer 1

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

Σf_i = 33 

Σf_i x_i = 14652

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

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