Question
Download Solution PDFMean of five consecutive even numbers is 16, find the variance of the numbers.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Mean of five consecutive even numbers = 16
Formula used:
V = variance
∑ = summation
x = observation
n = number of observations
a = 1st term of the numbers
d = common difference
Calculation:
⇒ 2a + (5 – 1)2 = 32
⇒ 2a + 4 × 2 = 32
⇒ 2a = 32 – 8
⇒ 2a = 24
⇒ a = 12
1st term = 12
Other terms are 14, 16, 18, 20
⇒
⇒
⇒ 8
⇒ V = 8
∴ The variance of the numbers is 8
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