Question

The nos 42,43,44,44,(2x+3),45,45,46,47,49 are written in an ascending order and the median is45 find x.hence ,find the mode of above data

Answer 1

We have,number of observations, n = 9(odd)Now, median = value of (n+12)th observationso, median = value of 5th observation⇒45 = 2x+3⇒2x = 42⇒x = 21Now, 5th observation = 45Since the observation 44 and 45 occurs maximum number of times, so mode is 44 and 45.