Question

Find the median and the mode of the following data 2,14,16,12,13,14,16,13,10,14,18,9​

Answer 1

Answer:

151

Step-by-step explanation:

2+14+16+12+13+14+16+13+10+14+18+9 = 151

151

Answer 2

$\sf \Large Solution!!$

Arranging the observations in ascending order.

2, 9, 10, 12, 13, 13, 14, 14, 14, 16, 16, 18

Total observations = 12

Median = $\sf \dfrac{\left(\dfrac{n}{2}\right)^{th}term+\left(\dfrac{n}{2}+1\right)^{th}term}{2}$

Median = $\sf \dfrac{\left(\dfrac{12}{2}\right)^{th}term+\left(\dfrac{12}{2}+1\right)^{th}term}{2}$

Median = $\sf \dfrac{6^{th}term+7^{th}term}{2}$

Median = $\sf \dfrac{13+14}{2}$

Median = $\sf \dfrac{27}{2}$

Median = 13.5

Mode = 14

Median = The middle value

Mode = The value that appears the most