MATH SOLVE

4 months ago

Q:
# which of the following statements are true? check all that apply. 1)the mean is affected by outliers.2)the mean is always a more accurate measure of center than the median.3)removing an outlier from a data set will cause the standard deviation to increase.4) if the data set’s distribution is skewed, then 95%of its values will fall between two standard deviations of the mean.5)if a data set’s distribution to skewed to the right, its mean will be larger than its median.

Accepted Solution

A:

Answer:1 and 5 are correct.Step-by-step explanation:1. The mean is affected by outliers. - TRUE(the mean is the average so each of its values affect it.)2. The mean is always a more accurate measure of center than the median. - FALSE(the mean gives a better idea of the values while the the central values for normal distributions are described using the median value.)3. Removing an outlier from a data set will cause the standard deviation to increase. - FALSE(it makes the data set more normal by reducing the standard deviation, not increasing it. )4. If the data set’s distribution is skewed, then 95%of its values will fall between two standard deviations of the mean. - FALSE(the 68-95-99.9 rule works for the normal distribution, but the skewed distribution.)5. If a data set’s distribution to skewed to the right, its mean will be larger than its median. - TRUE(the mean is always pulled towards the direction of the skewness.)