Question

1. the following two histograms show the fat content (in grams) listed per serving for 25 cereals for each brand - kellogg and general mills. hint: fat content is reported as whole numbers, so the first bin contains the number of cereals with a fat content of 0. which of the following statements is incorrect? (select only one) (a) the median fat content for kellogg is less than the median fat content for general mills (b) the mean fat content for general mills is larger than the mean fat content for kellogg (c) the distribution for kelloggs fat content is right skewed and the distribution for general mills fat content is approximately uniform. (d) the iqr for both distributions is 1g (e) the third quartile for kelloggs fat content is equal to the first quartile of general mills fat content.

Explanation:

Step1: Analyze option A

For a right - skewed distribution, the mean is greater than the median. Looking at Kellogg's histogram, it is right - skewed. So the median fat content for Kellogg is less than the mean fat content for Kellogg. This statement is correct.

Step2: Analyze option B

General Mills has a higher frequency of higher fat - content values compared to Kellogg. So the mean fat content for General Mills is larger than the mean fat content for Kellogg. This statement is correct.

Step3: Analyze option C

Kellogg's distribution is right - skewed as the tail is on the right side. General Mills' distribution is not approximately uniform as the frequencies vary across the bins. This statement is incorrect.

Step4: Analyze option D

By looking at the histograms and estimating the quartiles, we can find that the IQR for both distributions is 1g. This statement is correct.

Step5: Analyze option E

By estimating the quartiles from the histograms, we can check the relationship between the third quartile of Kellogg's and the first quartile of General Mills'. This statement can be correct by proper quartile estimation.

Answer:

C