Question

Click the score on the graph where you think the
balancing point would be for this data.

Answer 1

The balancing point is 23

Explanation:

Given

The above graph

Required

Determine the balancing point

This simply means that we calculate the mean.

From the above graph, we have:

`\begin{array}{cc}x & {f} & {21} & {3} & {22} & {5} & {28} & {1} & {29} & {1}\ \end{array}`

So, the mean is:

`\bar x = (\sum fx)/(\sum f)`

`\bar x = (21*3+22*5+28*1+29*1)/(3+5+1+1)`

`\bar x = (230)/(10)`

`\bar x = 23`

Hence, the balancing point is 23