If the mean of a dataset is 50 and one value is changed from 40 to 80, how does this affect the mean?a.The mean decreasesb.The mean increasesc.The mean remains the samed.Cannot be determined without additional information

Consider a data set with at least three data values. Suppose the highest value is increased by 10 and the lowest is decreased by 10.(a) Does the mean change? Explain.No, the sum of the data does not change.Yes, the number of data values changes.    No, the number of data values does not change.Yes, changing the extreme data values affects the mean.Yes, the sum of the data changes.(b) Does the median change? Explain.Yes, the sum of the data changes.No, changing the extreme data values does not affect the median.    Yes, the number of data values changes.No, the sum of the data does not change.No, the number of data values does not change.(c) Is it possible for the mode to change? Explain.Yes, depending on the range of the data values.No, all values will still occur at the same frequency.    Yes, depending on which data value occurs most frequently after the data are changed.No, the only change is an increased frequency of 1 for the extreme values.Yes, depending on the number a data values.

The mean of a dataset is 50. If all the values in the dataset are multiplied by 2, what will be the new mean?a.25b.50c.75d.100

The mean of a dataset is 10. If all values are increased by 5, what is the new mean?a.5b.10c.15d.20

A sample has a mean of M = 40. If 10 points are added to one of the scores, what happens to the sample mean?​Group of answer choices​it decreases substantially​it is unchanged​it decreases a little​it increases

A sample has a mean of M = 86. If one new person is added to the sample, and Σ X is unchanged, what effect will the addition have on the sample mean?​Group of answer choices​The sample mean will decrease.​The sample mean will increase a little.​The sample mean will increase substantially.​The sample mean will remain the same.