Question

1. the data show below give the total runs scored by both teams during a simple random sample of sf giants baseball games in the 2018 season. 9 7 5 11 5 13 5 7 9 7 13 8 5 (a) make a box - plot for this dataset. (b) identify the shape of this distribution. explain.

Explanation:

Step1: Sort the dataset

Sorted data: 4,5,5,5,5,5,5,7,7,7,8,9,9,11,13,13

Step2: Find five-number summary

Min=4, Q1=5, Median=7, Q3=9, Max=13

Step3: Draw boxplot

Box from Q1=5 to Q3=9, median line at 7, whiskers from 4 to 13.

Step4: Determine distribution shape

Right-skewed; right whisker longer than left.

Answer:

(a) Boxplot with min=4, Q1=5, median=7, Q3=9, max=13.
(b) Right-skewed. The right whisker (Q3 to max=13) is longer than the left (min=4 to Q1), indicating a longer right tail.