Question

The mean of 14 values of a data is 23. If one more value is introduced in the data, the mean of 15 values becomes 25. Find the fifteenth value.

Answer 1

15th value is 25*15-23*14= 375-322=53

Answer 2

Answer:

53

Step-by-step explanation:

The mean of 14 values of a data is 23.

Average = (sum of all observations)/(number of observations)

23 = (sum of all observations)/14

23*14 = sum of all observations

322 = sum of all observations

We are given that one more value is introduced in the data, the mean of 15 values becomes 25.

So, new mean  = 25

Number of Observations = 15

So, 25 = (New sum of all observations)/15

25*15= New sum of all observations

375 = New sum of all observations

So, fifteenth value. = new sum - old sum

                               = 375 - 322

                               = 53

Hence the fifteenth value is 53.