the mean of five numbers is 30 if one more number is included the mean still remains 30 find the included number
Answers
Answer:
answer =30
Step-by-step explanation:
5 no.mean = 30
sum of 5 no.=30*5
=150
if one more no. added
5+1=6no.
6no.mean =30*6=180
ADDED NO.=180-150=30
so,ANSWER =30
The included number is 30.
The mean, or average of the given numbers, is calculated by dividing the sum of the numbers by the total number of numbers.(Sum of All Observations / Total Observations) = Mean.
If the mean of five numbers is 30, then the sum of these five numbers is:
5 x 30 = 150
If one more number is included, let's call it "x", the sum of all six numbers will be:
150 + x
Since the mean remains 30 when the sixth number is added, we can set up the following equation:
(150 + x) / 6 = 30
Multiplying both sides by 6:
150 + x = 180
Subtracting 150 from both sides:
x = 30
Therefore, the included number is 30.
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