Q. 10 Sample medians List all 10聽poss... [FREE SOLUTION]

91影视

The Practice of Statistics for AP Examination

Daren Starnes, Josh Tabor

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 837 pages

ISBN: 9781319113339

Chapter 7: Q. 10 (page 454)

Sample medians List all $10$ possible SRSs of size $n = 3$ , calculate the median quiz score for each sample, and display the sampling distribution of the sample median on a dotplot.

Short Answer

Expert verified

The median quiz score for each sample :

Sample size $3$	Median
Abigail - Bobby - Carlos	$(10, 5, 10) = 10$
Abigail - Bobby - DeAnna	$(10, 5, 7) = 7$
Abigail - Bobby - Emily	$(10, 5, 9) = 9$
Abigail - Carlos - DeAnna	$(10, 10, 7) = 10$
Abigail - Carlos - Emily	$(10, 10, 9) = 10$
Abigail - DeAnna - Emily	$(10, 7, 9) = 9$
Bobby - Carlos - DeAnna	$(5, 10, 7) = 7$
Bobby - Carlos - Emily	$(5, 10, 9) = 9$
Carlos - DeAnna - Emily	$(10, 7, 9) = 9$

The dot plot :

Step by step solution

Given information

We need to find the median quiz score for each sample, and display the sampling distribution of the sample median on a dotplot for given table

Name	Gender	Quiz score
Abigail	Female	$10$
Bobby	Male	$5$
Carlos	Male	$10$
DeAnna	Female	$7$
Emily	Female	$9$

Simplify

Median can be calculated by arranging the data in ascending or descending order.

The median quiz score for each sample :

Sample size	Median
Abigail - Bobby - Carlos	$(10, 5, 10) = 10$
Abigail - Bobby - DeAnna	$(10, 5, 7) = 7$
Abigail - Bobby - Emily	$(10, 5, 9) = 9$
Abigail - Carlos - DeAnna	$(10, 10, 7) = 10$
Abigail - Carlos - Emily	$(10, 10, 9) = 9$
Abigail - DeAnna - Emily	$(10, 7, 9) = 9$
Bobby - Carlos - DeAnna	$(5, 10, 7) = 7$
Bobby - Carlos - Emily	$(5, 10, 9) = 9$
Bobby - DeAnna - Emily	$(5, 7, 9) = 7$
Carlos - DeAnna - Emily	$(10, 7, 9) = 9$

A dot plot is a graph that shows the distribution of numerical variables by using dots to represent values.
If a value appears more than once in a whole number, the dots are stacked one on top of the other, with the height of the column of dots representing the frequency of that value.