For the graphs below, for which probability distribution is the value of the median greater than the value of the mean?
a) negatively skewed
b) normal, symmetrical distribution
c) positively skewed distribution
d) none of the above

a

step-by-step explanation:

if one tail is longer than another, the distribution is skewed.

a negatively-skewed distribution (left-skewed) has a long left tail. that’s because there is a long tail in the negative direction on the number line. the mean is also to the left of the peak.

a positively-skewed distribution has a long right tail. that’s because there is a long tail in the positive direction on the number line. the mean is also to the right of the peak. (see attached diagram for details).

for negatively-skewed distribution the median is greater than the mean, for positively-skewed distribution the median is smaller than the mean.