Lesson 6 Food for Thought Develop Understanding

Ready

Sam’s test scores for the term were $60$ , $89$ , $83$ , $99$ , $95$ , and $60$ . Use these scores to answer problems 1 and 2.

1.

What is Sam’s mean score?

2.

What is Sam’s median score?

3.

Aiden’s test scores for the same term were $30$ , $70$ , $90$ , $90$ , $91$ , and $99$ . Which measure of central tendency (mean or median) would provide the highest score for Aiden?

4.

Most grades are calculated using the mean. Do you think this is a fair way to assign grades? Why or why not?

5.

___
$r = - 0.8$
___
$r = 0.55$
___
$r = - 0.62$
___
$r = 0.22$
___
$r = 0.83$
___
$r = 0$
___
$r = - 0.26$

Strong, positive correlation
Moderate, positive correlation
Weak, positive correlation
Weak, negative correlation
Moderate, negative correlation
Strong, negative correlation
No correlation at all

6.

How would knowing a data set has a weak correlation help you to interpret the data?

7.

How would knowing a data set has a strong correlation help you to interpret the data?

Set

8.

A student is considering how to represent the data in the table with a graph. Decide which of the representations would be the best to use, and then make the representation for the data in the table.

Eye Color	Frequency
Brown	$58$
Blue	$23$
Green	$7$
Hazel	$14$
Amber	$3$

a.

Which of the representations would be the best to use?

A.

Histogram

B.

Bar graph

C.

Box Plot

D.

Line Plot

b.

Make the representation for the data in the table.

9.

A student is considering how to represent the data in the table in a visual way. Decide which of the representations would be the best to use, and then make the representation for the data in the table.

High Temperatures (F)	Frequency
$21$ to $30$ degrees	$18$
$31$ to $40$ degrees	$32$
$41$ to $50$ degrees	$68$
$51$ to $60$ degrees	$74$
$61$ to $70$ degrees	$63$
$71$ to $80$ degrees	$41$

a.

Which of the representations would be the best to use?

A.

Histogram

B.

Bar graph

C.

Box plot

D.

Line plot

b.

Make the representation for the data in the table.

Go

10.

Make a box plot for the following test scores.

$60$ , $64$ , $68$ , $68$ , $72$ , $76$ , $76$ , $80$ , $80$ , $80$ , $84$ , $84$ , $84$ , $84$ , $88$ , $88$ , $88$ , $92$ , $92$ , $96$ , $96$ , $96$ , $96$ , $96$ , $96$ , $96$ , $100$ , $100$

11.

Which measure of central tendency (mean, median, or mode) is the easiest measure to determine when looking at a box plot? Explain.

12.

The left whisker is quite long in problem 12. What does that tell you about the data?

13.

Students were surveyed and asked how much time they spent on homework for the last week of school. Create a line plot for the collected data.

Collected data: $1, 4, 5, 2, 10, 6, 5, 4, 2, 0, 3, 3, 2, 5, 6, 8, 4, 5, 4, 4$