Question

A fishing tournament was held last year at The Fishing Academy. The organizer recorded theweight of each of the 46 fish caught. The smallest weight was 20 lb, and the largest was 29 lb.The table gives the mean, median, range, and interquartile range (IQR) of the data set.(a) Select the best description of center for the data set.O We see that a "typical" fish weighed about 6 to 9 lb bylooking at the IQR and range.O We see that a "typical" fish weighed about 22 or 23 lbby looking at the median and mean.O We see that a "typical" fish weighed about 46 lb bylooking at the number of fish caught.77°FMostly cloudy.Explanation(c) Select the graph with the shape that best fits the summary values.O Graph 1 (The data set is not symmetric.).CheckJDI(b) Select the best description of spread for the data set.OWe can tell by the number of fish caught that the middlehalf of the data set is 46 units wide.Mean23Summary valuesMedian22OWe can tell by the mean that the middle half of the dataset is 23 units wide.jeRange IQR96OWe can tell by the IQR that the middle half of the dataset is 6 units wide.DO Graph 2 (The data set is symmetric.).I need help with this math problem.

Answer 1

Given -

To Find -

Step-by-Step Explanation -

(a) By looking at the men and median, we calculate the central value of the data.

Here, the mean is 23 and the median is 22, as given in the table.

So, the correct option is

We see that a typical fish weighed about 22 or 23 lb by looking at the median and the mean.

(b) Since, the mean of the data is 23, which is also the middle half of the data set.

So, the correct option is

We can tell by the mean that the middle half of the data set is 23 units wide.

(c) Here, since the mean is approximately equal to the median, so the data is symmetrical.

So, the correct option is

Graph 2 (The data set is symmetric)

Final Answer -

(a) We see that a typical fish weighed about 22 or 23 lb by looking at the median and the mean.

(b) We can tell by the mean that the middle half of the data set is 23 units wide.

(c) Graph 2 (The data set is symmetric)