Question

the histogram is answer from the shape of the histogram, we can conclude that mean is likely larger than the median. mean and median are roughly the same. mean is likely smaller than the median. a) what is the shape of the histogram below? the histogram is answer from the shape of the histogram, we can conclude that mean is likely smaller than the median. mean and median are roughly the same. mean is likely larger than the median. b) what is the shape of the histogram below? the histogram is answer from the shape of the histogram, we can conclude that mean is likely larger than the median. mean is likely smaller than the median. mean and median are roughly the same. c) what is the shape of the histogram below? the histogram is answer from the shape of the histogram, we can conclude that mean is likely larger than the median. mean is likely smaller than the median. mean and median are roughly the same. d) what is the shape of the histogram below? the histogram is answer from the shape of the histogram, we can conclude that mean is likely larger than the median. mean is likely smaller than the median. mean and median are roughly the same.

Explanation:

Step1: Recall shape - mean - median relationships

In a right - skewed distribution, the tail on the right is longer. The mean is pulled in the direction of the tail, so mean > median. In a left - skewed distribution, the tail on the left is longer and mean < median. In a symmetric distribution, mean ≈ median.

Step2: Analyze each histogram

• For a right - skewed histogram, the mean is likely larger than the median.
• For a left - skewed histogram, the mean is likely smaller than the median.
• For a bell - shaped (symmetric) histogram, the mean and median are roughly the same.
• For a uniform (rectangular) histogram, the mean and median are roughly the same.

Answer:

a) Right - skewed: Mean is likely larger than the median.
b) Left - skewed: Mean is likely smaller than the median.
c) Bell - shaped: Mean and median are roughly the same.
d) Uniform: Mean and median are roughly the same.