Answer:
the average of the other seven numbers is 199
Step-by-step explanation:
The sum of eight numbers can be found by multiplying the average by the total number of numbers:
Sum of eight numbers = Average x Total number of numbers
In this case, we know that the average of eight numbers is 178, so we can write:
Sum of eight numbers = 178 x 8 = 1424
We also know that one of the numbers is 31, so we can subtract this from the sum of the eight numbers to get the sum of the other seven numbers:
Sum of other seven numbers = Sum of eight numbers - 31
Sum of other seven numbers = 1424 - 31
Sum of other seven numbers = 1393
Finally, we can find the average of the other seven numbers by dividing the sum by the number of numbers:
Average of other seven numbers = Sum of other seven numbers / Number of other seven numbers
Average of other seven numbers = 1393 / 7
Average of other seven numbers = 199
Therefore, the average of the other seven numbers is 199.
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Answers & Comments
Answer:
the average of the other seven numbers is 199
Step-by-step explanation:
The sum of eight numbers can be found by multiplying the average by the total number of numbers:
Sum of eight numbers = Average x Total number of numbers
In this case, we know that the average of eight numbers is 178, so we can write:
Sum of eight numbers = 178 x 8 = 1424
We also know that one of the numbers is 31, so we can subtract this from the sum of the eight numbers to get the sum of the other seven numbers:
Sum of other seven numbers = Sum of eight numbers - 31
Sum of other seven numbers = 1424 - 31
Sum of other seven numbers = 1393
Finally, we can find the average of the other seven numbers by dividing the sum by the number of numbers:
Average of other seven numbers = Sum of other seven numbers / Number of other seven numbers
Average of other seven numbers = 1393 / 7
Average of other seven numbers = 199
Therefore, the average of the other seven numbers is 199.
Question:-
The average of eight numbers if 178. If one of these numbers is 31, What is the average of other seven numbers?
Correct answer:-
Given, Mean of a set of seven numbers is 81
Let the numbers be x
1
,x
2
,x
3
,x
4
,x
5
,x
6
,x
7
,x
8
As we know that
Mean=
NumberofObservation
SumofObservation
Therefore ,
7
x
1
+x
2
+x
3
+x
4
+x
5
+x
6
+x
7
=81
x
1
+x
2
+x
3
+x
4
+x
5
+x
6
+x
7
=81×7
x
1
+x
2
+x
3
+x
4
+x
5
+x
6
+x
7
=567-------------> 1
If one of the number is discarded , then the mean of the remaining numbers is 78 .
Let the discarded number be x_{7} , then
6
x
1
+x
2
+x
3
+x
4
+x
5
+x
6
=78
x
1
+x
2
+x
3
+x
4
+x
5
+x
6
=78×6
x
1
+x
2
+x
3
+x
4
+x
5
+x
6
=468 --------------> 2
On Subtracting Equation 2 from Equation 1 , we get
x
7
=567−468
x
7
=99
Therefore , the value of discarded number is 99.
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