Find the value of 'p' if the mean of the following data is 17.
xi10p182125fi1015799
14
Average or mean value of a given number of observations is the sum of all the observations divided by the total number of observations.
xi10p182125fi1015799xifi10015p126189225
Mean =∑xifi∑fi
∑xifi = 100 + 15p + 126 + 189 + 225
= 640 + 15p
∑fi = 50
given that mean = 17
⇒ 640 + 15p = 50 x 17
⇒ 15p = 210
⇒ p = 14