Question

which of the following is always true? choose the correct answer below. a. data skewed to the right have a longer left tail than right tail. b. for skewed data, the mode is farther out in the longer tail than the median. c. in a symmetric and bell - shaped distribution, the mean, median, and mode are the same. d. the mean and median should be used to identify the shape of the distribution.

Explanation:

• Option A: Data skewed to the right has a longer right - tail, not left - tail.
• Option B: For skewed data, the mean is farther out in the longer tail than the median, not the mode.
• Option C: In a symmetric and bell - shaped (normal) distribution, the mean, median, and mode coincide, which is a well - known property.
• Option D: The mean and median are measures of central tendency, not used to identify the shape of the distribution. The shape is identified by visual inspection or measures like skewness and kurtosis.

Answer:

C. In a symmetric and bell - shaped distribution, the mean, median, and mode are the same