Question

determine whether the following statement is true or false. if the statement is false, make the necessary change(s) to produce a true statement.
if one or more data items are much greater than the other items, the mean, rather than the median, is more representative of the data

choose the correct answer below

a. the statement is false. it should be changed to if one or more data items are much greater than the other items, the mode, rather than the mean, is more representative of the data

b. the statement is false. it should be changed to if one or more data items are much greater than the other items, the median, rather than the mean, is more representative of the data

c. the statement is false. it should be changed to if one or more data items are much greater than the other items, the mean, rather than the mode, is more representative of the data

d. the statement is true because the relatively high data item(s) pull(s) the median to a value considerably

Explanation:

The mean is affected by extreme values (outliers). When there are data items much greater than others (outliers), the mean will be pulled upwards. The median, on the other hand, is the middle - value of the ordered data set and is less affected by extreme values. So, when there are outliers (one or more data items much greater than others), the median is a better representative of the data than the mean.

Answer:

B. The statement is false. It should be changed to if one or more data items are much greater than the other items, the median, rather than the mean, is more representative of the data.