Question

decide whether the following statement makes sense (or is clearly true) or does not make sense (or is clearly false). explain your reasoning. the distribution of grades was left - skewed, but the mean, median, and mode were all the same. a. this makes sense because when outliers have low values, the mean, median, and mode are the same. b. this does not make sense because the mean and median should lie somewhere to the left of the mode if the distribution is left - skewed. c. this makes sense because when outliers have high values, the mean, median, and

Explanation:

A left-skewed distribution has low outliers pulling the mean left of the median, and the mode is typically at the peak (right of mean/median). Thus, mean, median, mode cannot be the same in a left-skewed distribution. Option B correctly states this.

Answer:

B. This does not make sense because the mean and median should lie somewhere to the left of the mode if the distribution is left-skewed.