Question

34,45,50,56,60,65,70,70,70,70,72,77,77,80,82,86,86,89,95,98
find the mean

Answer 1

To find the mean of the given data set, you follow these steps:

1. **Sum all the values**.
2. **Divide the sum by the number of values**.

Let's calculate it step-by-step.

**Values**: \( 34, 45, 50, 56, 60, 65, 70, 70, 70, 70, 72, 77, 77, 80, 82, 86, 86, 89, 95, 98 \)

**Step 1: Calculate the sum**:

\[
34 + 45 + 50 + 56 + 60 + 65 + 70 + 70 + 70 + 70 + 72 + 77 + 77 + 80 + 82 + 86 + 86 + 89 + 95 + 98 = 34 + 45 = 79 \\
79 + 50 = 129 \\
129 + 56 = 185 \\
185 + 60 = 245 \\
245 + 65 = 310 \\
310 + 70 = 380 \\
380 + 70 = 450 \\
450 + 70 = 520 \\
520 + 70 = 590 \\
590 + 72 = 662 \\
662 + 77 = 739 \\
739 + 77 = 816 \\
816 + 80 = 896 \\
896 + 82 = 978 \\
978 + 86 = 1064 \\
1064 + 86 = 1150 \\
1150 + 89 = 1239 \\
1239 + 95 = 1334 \\
1334 + 98 = 1432
\]

**Total Sum** = 1432

**Step 2: Count the number of values**:

There are 20 values in the data set.

**Step 3: Calculate the mean**:

\[
\text{Mean} = \frac{\text{Total Sum}}{\text{Number of Values}} = \frac{1432}{20} = 71.6
\]

So, the mean of the given data set is **71.6**.