Question

The points scored by a basketball team in a series of matches are as
follows:
17,2,7,27,25,5,14,18,10,24,48,10,8,7,10,28. Find the median and mode for
the data.​

Answer 1

Answer:

Arranging the data in ascending order, we get

2, 5, 7, 7, 8, 10, 10, 10, 14, 17, 18, 24, 25, 27, 28, 48

Since number of observations (n) = 16, which is even. Therefore, median is the mean of (n/2)th and

(n/2 + 1)th observation, i.e., 8th and 9th observation.

Here, 8th observation = 10

9th observation = 14

∴ Median = 10 + 14/2 = 12

As 10 occurs most frequently, i.e., three times. So, the mode is 10.