Find the mean, median and mode of the data.

Question

The donations given to an orphanage home by the students of different classes of a secondary school are given below.

Class	Donation by each student in (Rs)	No. of students donated
VI	5	15
VII	7	15
VIII	10	20
IX	15	16
X	20	14

Find the mean, median and mode of the data.

Answer 1

Σf_i = 80 

Σf_i x_i = 900

Mean \(\overline x = \frac {\sum f_ix_i}{\sum f_i} = \frac {900}{80} = 11.25\)

Median = Average of (N/2) and (N/2 +1) terms of 80/2, (80/2 + 1) terms.

= average of 40 and 41 terms = ₹10

Mode = ₹ 10