judges at a fishing competition measured the length (in centimeters) of each fish caught during the…

judges at a fishing competition measured the length (in centimeters) of each fish caught during the competition. the box - and - whisker plot (sometimes called a boxplot) summarizes the data. use the box - and - whisker plot to answer the questions below. (a) what is the difference of the longest length and the shortest length of fish caught during the competition? (that is, what is the range of the data?) (b) which of these best describes the lengths (in centimeters) of the fish caught during the competition? o there were more fish with a length under 55 than with a length over 55. o there were more fish with a length over 55 than with a length under 55. o the same number of fish had a length under 55 as had a length over 55. (c) which of the following intervals gives the highest 25% of the data? o 55 to 58 o 58 to 59 o 55 to 59 o 59 to 70

judges at a fishing competition measured the length (in centimeters) of each fish caught during the competition. the box - and - whisker plot (sometimes called a boxplot) summarizes the data. use the box - and - whisker plot to answer the questions below. (a) what is the difference of the longest length and the shortest length of fish caught during the competition? (that is, what is the range of the data?) (b) which of these best describes the lengths (in centimeters) of the fish caught during the competition? o there were more fish with a length under 55 than with a length over 55. o there were more fish with a length over 55 than with a length under 55. o the same number of fish had a length under 55 as had a length over 55. (c) which of the following intervals gives the highest 25% of the data? o 55 to 58 o 58 to 59 o 55 to 59 o 59 to 70

Answer

Explanation:

Step1: Identify min and max from plot

The shortest length (minimum) is 30 cm and the longest length (maximum) is 70 cm.

Step2: Calculate the range

Range = Maximum - Minimum = 70 - 30 = 40.

Step3: Analyze part (b)

In a box - and - whisker plot, the median divides the data into two equal parts. The median is around 50. So, there were more fish with a length under 55 than with a length over 55.

Step4: Analyze part (c)

The upper quartile (Q3) marks the start of the highest 25% of the data. From the plot, Q3 is around 55 and the maximum is 70. So the interval for the highest 25% of the data is 59 to 70.

Answer:

(a) 40 (b) There were more fish with a length under 55 than with a length over 55. (c) 59 to 70