Question : What is the average of the cubes of the first 7 natural numbers?
Option 1: 84
Option 2: 105
Option 3: 96
Option 4: 112
Answer (1)
18th Jan, 2024
Correct Answer: 112
Solution :
The cubes of the first 7 natural numbers are:
$1^3 = 1$,
$2^3 = 8$,
$3^3 = 27$,
$4^3 = 64$,
$5^3 = 125$,
$6^3 = 216$,
$7^3 = 343$
Average = $\frac{\text{Sum of observations}}{\text{Total observation}}$
= $\frac{1 + 8 + 27 + 64 + 125 + 216 + 343}{7} = 112$
Hence, the correct answer is 112.
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