Which is true of the data shown in the histogram I The distr

Which is true of the data shown in the histogram? I. The distribution is approximately symmetric. II. The mean and median are approximately equal. III. The median and IQR summarize the data better than the mean and standard deviation. Click the icon to view the histogram. I and III I, II and III I only I and II III only

Solution

(I) The data shows that the shape of this histogram is bell-shaped. Also,if a line is drawn down the middle of the graph, the two sides will mirror each other. So,the distribution is approximately symmetric.

(II) In the given histogram where the values of data occur at regular frequencies. So, the mean, median and mode occur at the same point.

(III) The IQR is the difference between the third and the first quartile.  IQR makes the values by estimate of outliers where mean and standard deviation are not effected against outliers. So, the median and IQR is not summarize the data well.

Answer is (I) and (II)