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find the mean of the following set of numbers: 21, 27, 29, 30, 22, 24

Question

find the mean of the following set of numbers: 21, 27, 29, 30, 22, 24

Explanation:

Step1: Sum the numbers

First, we add up all the given numbers: \(21 + 27 + 29 + 30 + 22 + 24\). Let's calculate that: \(21+27 = 48\), \(48+29 = 77\), \(77+30 = 107\), \(107+22 = 129\), \(129+24 = 153\).

Step2: Count the number of terms

There are 6 numbers in the set.

Step3: Calculate the mean

The formula for the mean \(\bar{x}\) is \(\frac{\text{Sum of terms}}{\text{Number of terms}}\). So we divide the sum (153) by the number of terms (6): \(\frac{153}{6}=25.5\).

Answer:

25.5