Adata set consists of the data given below plus one more data point. when the additional point is included in the data set the sample mean of the resulting data set is 24.667. what is the value of the additional data point?

34, 18, 18, 40, 11, 22, 30, 25, 19, 21, 45 34, 18, 18, 40, 11, 22, 30, 25, 19, 21, 45

value of additional data point:

Value of additional data point is 31.

Step-by-step explanation:

We are given the following data set:

34, 18, 18, 40, 11, 22, 30, 25, 19, 21, 45 34, 18, 18, 40, 11, 22, 30, 25, 19, 21, 45

Formula:

The old mean is 24.35

A new data was added in the data. The new mean is 24.667

We have to find the value of additional point.

Let x be the added point in the data set.

Thus, we can write:

Thus, value of additional data point is 31

answer: a and c are correct

step-by-step explanation:

the +5 is the vertical translation

the added negative symbol in front is the reflection over the y-axis