Question

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the mean of 1 ,7 ,5 ,3, 4 and 4 is M The observations 3,2,4,2,3,3 and p have the mean and m-1 then the median of this data is

Answer 1

Answer:

Median = 3

Step-by-step explanation:

(i)

Given, mean = m.

We know that mean = (Sum of observations)/Total

m = (1+7+5+3+4+4)/5

m=24/5

(ii)

Given mean = m-1

We know that mean = sum/total

m-1 = (3+2+4+2+3+3+p)/7

m-1 = 17+p/7

7m-7=17+p

7(4)-7=17+p

21=17+p

p=4

Substitute p in (ii), the data will be

3,2,4,2,3,3 and 4.

Arrange the data in ascending order.

= 2,2,3,3,3,4,4

Total number of observations = 7{Odd}

Median of the data = (n+1/2)th term

                                = (7+1/2)

                                = 4th term

                                = 3.

Hope it helps!