Question

ray is a runner from an athletics team. he recorded his 100 - meter race times over the past year and presented it using the line plot: ray what is the balance point for this data?

Explanation:

Step1: Count data - point frequencies

There are 3 data - points at 11, 2 at 12, 1 at 13, and 1 at 14.

Step2: Calculate the sum of data - point products

Sum = \(3\times11 + 2\times12+1\times13 + 1\times14\)
\[

$$\begin{align*} &3\times11+2\times12 + 1\times13+1\times14\\ =&33+24 + 13+14\\ =&84 \end{align*}$$

\]

Step3: Calculate the total number of data points

Total number of data points \(n=3 + 2+1+1=7\)

Step4: Calculate the balance point (mean)

Balance point \(=\frac{84}{7}=12\)

Answer:

12