187310. Some observations are arranged in the ascending order as9, a 3

1.	187310. Some observations are arranged in the ascending order as9, a 3, a 7, 20, 23 and 26. If median of the data is18.5, find the value of.a. Also find the mean of the data
Answer» 9, a + 3, a + 7, 20, 23, 26are in ascending order and number of terms are 6 So median= 1/2( 3rd + 4th terms)= 1/2 *(a + 7 + 20)= (a + 27)/2 So,(a + 27)/2 = 18.5a + 27 = 37a = 37 - 27 = 10 Now values are9, 13, 17, 20, 23, 26 Mean = (9+13+17+23+26)/6 = 88/6 = 14.6

187310. Some observations are arranged in the ascending order as9, a 3, a 7, 20, 23 and 26. If median of the data is18.5, find the value of.a. Also find the mean of the data

Answer»

9, a + 3, a + 7, 20, 23, 26are in ascending order and number of terms are 6

So median= 1/2( 3rd + 4th terms)= 1/2 *(a + 7 + 20)= (a + 27)/2

So,(a + 27)/2 = 18.5a + 27 = 37a = 37 - 27 = 10

Now values are9, 13, 17, 20, 23, 26

Mean = (9+13+17+23+26)/6 = 88/6 = 14.6