each dot in the following dot plot represents the number of goals luis scored in one lacrosse season. find…

each dot in the following dot plot represents the number of goals luis scored in one lacrosse season. find the interquartile range (iqr) of the data in the dot plot. goals

Answer

Explanation:

Step1: Count data points

There are 1 + 3+ 2+ 0+ 1+ 2 = 9 data - points.

Step2: Arrange data in ascending order

The data set is {43, 44, 44, 44, 45, 45, 47, 48, 48}.

Step3: Find the median (Q2)

Since there are 9 data - points, the median is the 5th value. So, Q2 = 45.

Step4: Find the lower half

The lower half of the data set is {43, 44, 44, 44}.

Step5: Find Q1

The median of the lower half (Q1) is the average of the 2nd and 3rd values. Q1=$\frac{44 + 44}{2}$=44.

Step6: Find the upper half

The upper half of the data set is {47, 48, 48}.

Step7: Find Q3

The median of the upper half (Q3) is 48.

Step8: Calculate IQR

IQR = Q3 - Q1 = 48 - 44 = 4.