Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

The heights of people of the same sex and similar ages follow a Normal distribut

ID: 3069359 • Letter: T

Question

The heights of people of the same sex and similar ages follow a Normal distribution reasonably closely. Weights, on the other hand, are not Normally distributed. The weights of women aged 20-29 in the United States have mean 161.9 lbs and mediarn 149.4 lbs. The first and third quartiles are 126.3 lbs and 181.2 lbs, respectively What can you say about the shape of the weight distribution? O The distribution is right-skewed. O The distribution is not skewed. O None of the other choices are correct. O The distributión is left-skewed.

Explanation / Answer

Solution: The heights of people of the same sex and similar ages follow a Normal distribution reasonably closely. Weights, on the other hand, are not Normally distributed. The weights of women aged 20-29 in the United States have mean 161.9 lbs and median 149.4 lbs. The first and third quartiles are 126.3 lbs and 181.2 lbs, respectively

What can you say about the shape of the weight distribution?

Answer: The distribution is right-skewed.

Explanation:

Since the Mean is greater than the median, we can conclude that the distribution is right-skewed. Also the distribution of weights is right-skewed can be traced from the upper and lower quartiles, we see that the most of the data is to the right of median because the difference between third quartile and median is higher than the difference between first quartile and median.