Question

11. The median value of the following distribution is :
তলত দিয়া বিভাজনটোৰ মধ্যমা হ'ব ?
15, 8, 10, 6, 12, 11, 4, 7, 3, 9 |
(a) 12 (b) 8.5 (c) 7
(d) 11
​

Answer 1

Answer:

The median is (b) 8.5.

Step-by-step explanation:

The median of an even set of numbers is the average of the middle two values.

Arrange the data set in ascending order as follows:

3, 4, 6, 7, 8, 9, 10, 11, 12, 15

There are 10 values the set.

The median will be the average of the 5th and 6th observation.

The 5th observation is, 8.

The 6th observation is, 9.

Compute the median as follows:

$Median=\frac{5^{th}\ obs.+6^{th}\ obs.}{2}\\=\frac{8+9}{2}\\=\frac{17}{2}\\=8.5$

Thus, the median is (b) 8.5.