Question

in the state of mississippi, there are limits to the numbers of fish from particular species that recreational fishers are allowed to catch. on one week 40 recreational fishers caught king mackerel fish. the dot plot below shows the numbers of mackerel that they caught. describe the distribution of the fishers number of mackerel. shape: the distribution of number of mackerel is skewed to the left. center: the median of the number of mackerel is 11.5 mackerel. spread: the range of the number of mackerel is 13 mackerel. outliers: there are no potential outliers.

Explanation:

Step1: Identify shape

The tail of the dot - plot extends more to the left, so it is skewed to the left.

Step2: Calculate median

There are \(n = 40\) data points. The median is the average of the 20th and 21st ordered data points. Counting the dots, we find the median is \(11.5\).

Step3: Calculate range

The maximum value is \(15\) and the minimum value is \(2\). Range \(=15 - 2=13\).

Step4: Check for outliers

By visual inspection of the dot - plot, there are no data points that are far from the rest of the data, so there are no outliers.

Answer:

Shape: skewed to the left
Center: \(11.5\) mackerel
Spread: \(13\) mackerel
Outliers: no