# Lesson 6Food for ThoughtDevelop Understanding

Sam’s test scores for the term were , , , , , and . 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 , , , , , and . 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.

Select the proper description for each of the correlation coefficients.

1. ___

2. ___

3. ___

4. ___

5. ___

6. ___

7. ___

1. Strong, positive correlation

2. Moderate, positive correlation

3. Weak, positive correlation

4. Weak, negative correlation

5. Moderate, negative correlation

6. Strong, negative correlation

7. No correlation at all

### 6.

#### A.

Strong, positive correlation

#### B.

Moderate, positive correlation

#### C.

Weak, positive correlation

#### D.

Weak, negative correlation

#### E.

Moderate, negative correlation

#### F.

Strong, negative correlation

#### G.

No correlation at all

### 7.

#### A.

Strong, positive correlation

#### B.

Moderate, positive correlation

#### C.

Weak, positive correlation

#### D.

Weak, negative correlation

#### E.

Moderate, negative correlation

#### F.

Strong, negative correlation

#### G.

No correlation at all

### 8.

#### A.

Strong, positive correlation

#### B.

Moderate, positive correlation

#### C.

Weak, positive correlation

#### D.

Weak, negative correlation

#### E.

Moderate, negative correlation

#### F.

Strong, negative correlation

#### G.

No correlation at all

### 9.

#### A.

Strong, positive correlation

#### B.

Moderate, positive correlation

#### C.

Weak, positive correlation

#### D.

Weak, negative correlation

#### E.

Moderate, negative correlation

#### F.

Strong, negative correlation

#### G.

No correlation at all

### 10.

#### A.

Strong, positive correlation

#### B.

Moderate, positive correlation

#### C.

Weak, positive correlation

#### D.

Weak, negative correlation

#### E.

Moderate, negative correlation

#### F.

Strong, negative correlation

#### G.

No correlation at all

### 11.

#### A.

Strong, positive correlation

#### B.

Moderate, positive correlation

#### C.

Weak, positive correlation

#### D.

Weak, negative correlation

#### E.

Moderate, negative correlation

#### F.

Strong, negative correlation

#### G.

No correlation at all

### 12.

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

### 13.

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

## Set

### 14.

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

Blue

Green

Hazel

Amber

#### a.

Which of the representations would be the best to use?

Histogram

Bar graph

Box Plot

Line Plot

#### b.

Make the representation for the data in the table.

### 15.

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

to degrees

to degrees

to degrees

to degrees

to degrees

to degrees

#### a.

Which of the representations would be the best to use?

Histogram

Bar graph

Box plot

Line plot

#### b.

Make the representation for the data in the table.

## Go

### 16.

Make a box plot for the following test scores.

, , , , , , , , , , , , , , , , , , , , , , , , , , ,

### 17.

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

### 18.

The left whisker is quite long in problem 16. What does that tell you about the data?

### 19.

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: