Given a set {-1, 2, -12,52,x}, for what

amantantawq5l

amantantawq5l

Answered question

2022-03-22

Given a set {-1, 2, -12,52,x}, for what x would the mean of the set be -3?

Answer & Explanation

strahujufl75

strahujufl75

Beginner2022-03-23Added 8 answers

Let the count of values be n
Let the mean be z
Let the sum be s
The mean is that single value for which nz =sum of all values.
So in this case the mean is -3 and n is 5. So the sum of all values is
s=zn=(3)×5=15
The given 4 values are (-1)+2+(-12)+52=41
So x+41=-15
x=-15-41=-56
Check:
41565=155=3
Confirmed that x=-56
Eve Larson

Eve Larson

Beginner2022-03-24Added 9 answers

The mean of a set of numbers is the sum of the numbers divided by their quantity. So in this case it is:
x=1+2+(12)+52+x5
x=41+x5
According to the task the mean is -3, so we can write that:
41+x5=3
41+x=-15
x=-56

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