for the three histograms above, which of the following correctly orders the histograms from the one with the…

for the three histograms above, which of the following correctly orders the histograms from the one with the largest proportion of data below its mean to the one with the smallest proportion of data below its mean? a. a, b, c b. c, a, b c. b, a, c d. c, b, a e. a, c, b

for the three histograms above, which of the following correctly orders the histograms from the one with the largest proportion of data below its mean to the one with the smallest proportion of data below its mean? a. a, b, c b. c, a, b c. b, a, c d. c, b, a e. a, c, b

Answer

Explanation:

Step1: Recall property of data - mean relationship

In a symmetric distribution, the mean divides the data into two equal - proportioned halves. In a skewed distribution, the tail affects the proportion of data below and above the mean.

Step2: Analyze Histogram A

Histogram A is symmetric. In a symmetric distribution, the proportion of data below the mean is 0.5.

Step3: Analyze Histogram B

Histogram B is right - skewed. In a right - skewed distribution, the mean is pulled towards the right (tail), so the proportion of data below the mean is greater than 0.5.

Step4: Analyze Histogram C

Histogram C is left - skewed. In a left - skewed distribution, the mean is pulled towards the left (tail), so the proportion of data below the mean is less than 0.5.

Step5: Order the histograms

The order from the one with the largest proportion of data below its mean to the one with the smallest is B, A, C.

Answer:

c. B, A, C