Question

the histogram represents the distribution of lengths, in inches, of 25 catfish caught in a lake. a. if possible, find the mean. if not possible, explain why not. b. if possible, find the median. if not possible, explain why not. c. were any of the fish caught 12 inches long? d. were any of the fish caught 19 inches long?

Explanation:

Step1: Analyze mean - need mid - points

To find the mean from a histogram, we need the mid - points of each class interval and their corresponding frequencies. Since the class intervals and mid - points are not given precisely, we cannot calculate the mean.

Step2: Analyze median - need class intervals

To find the median from a histogram, we need to know the class intervals and cumulative frequencies. Without clear class intervals, we cannot calculate the median.

Step3: Check 12 - inch length

The bar corresponding to lengths around 12 inches has a non - zero height. So, some fish are 12 inches long.

Step4: Check 19 - inch length

The histogram only goes up to 18 inches. So, no fish are 19 inches long.

Answer:

a. Not possible. We need class intervals and mid - points to calculate the mean.
b. Not possible. We need class intervals and cumulative frequencies to calculate the median.
c. Yes
d. No