Question

find the mean of:
14 18 39 17 32 12 1 17
19 29 11 4 8
mean =

Explanation:

Step1: Count the number of data points

First, we count how many numbers are in the dataset. Let's list them: 14, 18, 39, 17, 32, 12, 1, 17, 19, 29, 11, 4, 8. Wait, let's count again: first row: 14,18,39,17,32,12,1,17 (8 numbers), second row:19,29,11,4,8 (5 numbers). So total \( n = 8 + 5 = 13 \) numbers.

Step2: Calculate the sum of the data

Now we sum all the numbers:
\( 14 + 18 + 39 + 17 + 32 + 12 + 1 + 17 + 19 + 29 + 11 + 4 + 8 \)
Let's compute step by step:
\( 14 + 18 = 32 \)
\( 32 + 39 = 71 \)
\( 71 + 17 = 88 \)
\( 88 + 32 = 120 \)
\( 120 + 12 = 132 \)
\( 132 + 1 = 133 \)
\( 133 + 17 = 150 \)
\( 150 + 19 = 169 \)
\( 169 + 29 = 198 \)
\( 198 + 11 = 209 \)
\( 209 + 4 = 213 \)
\( 213 + 8 = 221 \)
So the sum \( \sum x = 221 \)

Step3: Calculate the mean

The formula for the mean \( \bar{x} = \frac{\sum x}{n} \)
We have \( \sum x = 221 \) and \( n = 13 \)
So \( \bar{x} = \frac{221}{13} = 17 \)

Answer:

17