8. The mean of five numbers is 27. If one number is excluded, their mean is 25. Find the
excluded observation.
Answers
Answer:
Answer:
35
Step-by-step explanation:
We are given that the mean of five number is 27.
Average = \frac{\text{Sum of 5 numbers}}{5}Average=
5
Sum of 5 numbers
27= \frac{\text{Sum of 5 numbers}}{5}27=
5
Sum of 5 numbers
\begin{gathered}27 \times 5= \\text{Sum of 5 numbers}\end{gathered}
27×5=
textSumof5numbers
\begin{gathered}135= \\text{Sum of 5 numbers}\end{gathered}
135=
textSumof5numbers
One number is excluded their mean is 25
Let the excluded number be x
So, new sum = 135-x
No. of observations = 5-1 =4
Average = \frac{\text{New sum}}{4}Average=
4
New sum
25 = \frac{135-x}{4}25=
4
135−x
25 \times 4 =135-x25×4=135−x
100 =135-x100=135−x
x=35x=35
Hence the excluded observation is 35
Step-by-step explanation:
h7h7h7v7h7h8i7g7g get good grades good g