The average of 70 numbers is 32. If each number is increased by 3, then the…

2020

The average of 70 numbers is 32. If each number is increased by 3, then the new average will become

  1. A.

    31

  2. B.

    33

  3. C.

    35

  4. D.

    37

Attempted by 93 students.

Show answer & explanation

Correct answer: C

Complete Solution
To determine the new average, we apply the property of averages regarding arithmetic operations:

Understand the Property: If every number in a data set is increased by a constant value (k), the average of that data set will also increase by that same constant value (k).

Identify the variables:

Original Average = 32

Increase applied to each number (k) = 3

Calculate the New Average:

New Average = Original Average + k

New Average = 32 + 3 = 35

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