Choose the correct answer below.
a. data skewed to the right have a longer left tail than right tail.
b. the mean and median should be used to identify the shape of the distribution.
c. for skewed data, the mode is farther out in the longer tail than the median.
d. in a symmetric and bell-shaped distribution, the mean, median, and mode are the same.
Answer: The Option A is not correct, because in data skewed to the right have a longer right tail than left tail.
The Option B is not correct, because we need mean, median and mode to identify the type of distribution
The Option C is not correct, because in skewed data we can not always have mode farther out in the longer tail than the median.
The Option D is correct, because in symmetric or bell shaped distribution the mean, median and mode are identical
Therefore, the correct answer here is Option D. in a symmetric and bell-shaped distribution, the mean, median, and mode are the same.