Question

Find the mode and median of the data: 13, 16, 12, 14, 19, 12, 14, 13, 14

Answer 1

Arranging the given data in an ascending order, we get

= 12, 12, 13, 13, 14, 14, 14, 16, 19 (0.25 Marks)

Mode,

14 occurs maximum number of times. (0.25 Marks)

Hence, mode of the given data is 14. (0.5 Marks)

Median,

The value of the middle-most observation is called the median of the data. (0.25 Marks)

Here n = 9, which is odd. (0.25 Marks)

∴median = value of <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $\frac{9+1}{2}$th observation. (0.25 Marks)

=> Median = $\frac{10}{2}$th observation (0.25 Marks)

=> Median = 5th observation (0.25 Marks)

Then, value of 5^th term = 14 (0.25 Marks)

Hence, the median is 14. (0.5 Marks)