Question

brand a and brand b of frozen green beans both list a weight of 32 ounces on their bags. because of variability in the manufacturing process, the bags often contain slightly more, or less, than 32 ounces of green beans. an inspector takes a random sample of 25 bags of green beans of each type and records their weights. the weights and their relative frequencies are summarized in the histograms. brand a green beans brand b green beans which of the following is a true statement when comparing the bags of green beans? the median weight for both types is between 32.1 and 32.2 ounces. the median weight for both types is between 32.0 and 32.1 ounces. the median weight for brand b is less than the median weight of brand a. the median weight for brand b is greater than the median weight of brand a.

Explanation:

Step1: Find median position

For n=25, median is 13th value.

Step2: Locate Brand A's median

Brand A's histogram: cumulative frequency reaches 13 in 32.1-32.2 bin.

Step3: Locate Brand B's median

Brand B's histogram: cumulative frequency reaches 13 in 32.0-32.1 bin.

Step4: Compare medians

Brand B's median bin (32.0-32.1) < Brand A's (32.1-32.2).

Answer:

C. The median weight for brand B is less than the median weight of brand A.