Answer:
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:
![Mean =\displaystyle\frac{487}{20} = 24.35](https://tex.z-dn.net/?f=Mean%20%3D%5Cdisplaystyle%5Cfrac%7B487%7D%7B20%7D%20%3D%2024.35)
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:
![24.667 = \displaystyle\frac{487+x}{21}\\\\x = 21(24.667)-487 = 31.007 \approx 31](https://tex.z-dn.net/?f=24.667%20%3D%20%5Cdisplaystyle%5Cfrac%7B487%2Bx%7D%7B21%7D%5C%5C%5C%5Cx%20%3D%2021%2824.667%29-487%20%3D%2031.007%20%5Capprox%2031)
Thus, value of additional data point is 31