Question

8.
The mean of 5 observations is 4.8 and the
variance is 6.56. If three of the five observations
are 1, 3 and 8, find the other two observations.​

Answer 1

20 is sum of 2 observation

Answer 2

Answer:

a = 5, b = 7

Step-by-step explanation:

Mean = 4.8 implies sum of all terms is 4.8*5 =24

which means a+b = 12, (24 -8 -3 -1).

Variance is 6.56, which means

(1²+3²+8²+a²+b²)/5 - (4.8)² = 6.56

which means a²+b² = 74

so a+b = 12 and a²+b² = 74

therefore, a =5, b =7 (or b =5, a =7)