Question

The ages of the people in the fifth row at the ball game were 12,12,11,5,2,34,37,50,52,10,10,12,16,29,8. Find the following mean median mode range

Answer 1

$\begin{gathered} Mean=20 \\ Median=12 \\ Mode=12 \end{gathered}$

1) Let's find the mean by adding them up and dividing by the number of data points:

$\begin{gathered} \bar{x}=\frac{12+12+11+5+2+34+37+50+52+10+10+12+16+29+8}{15} \\ \bar{x}=20 \end{gathered}$

2) To fnd the mMedian, i.e. the middle number. We need to arrnge oan rderly from the least to the greaseest as our first step:

$2,\:5,\:8,\:10,\:10,\:11,\:12,\:12,\:12,\:16,\:29,\:34,\:37,\:50,\:52$

Since there is an odd umber oof data points, we can pick the number that evenly divides it into two groups:

The number that divides into two groups of 7 numbers to the left and 7 numbers to the right is 12.

3) Mode is the number that repeats itself the most in any data set:

$12$