Line Plots
Stem and Leaf Plots
Understanding Data
Range and Mode
Median and Mean
100

Students recorded how many laps they could run around a track. They recorded their data in the dot plot below. How many students recorded their data? 

               0                            

           0     0           0            0    

0     0     0    0     0     0     0

<----|----|----|----|----|----|----|---->

1     2     3     4    5     6    7

12 students


Count all the dots

100

The stem and leaf plot below represents test scores for a class. How many students took the test?

Stem | Leaf         

6 |  2, 7, 7, 9

7 |  0, 3, 5, 8 

8 |  1, 4, 4, 4, 5 

9 |  2, 8, 9

16 students


Count all the numbers in the leaf side of the stem and leaf chart

100

Which of the following questions would require the collection of data?

A. Which chicken wing flavor is your favorite?

B. What is your last name? 

C. What is the holiday celebrated on the last day of October each year? 

D. What restaurant is at 13400 Mulberry Street?

A. Which chicken wing flavor is your favorite?

100

When a question is asking for the spread, what do you need to find? 

The Range

100

When a question asks for the middle number what do you need to find?

The Median

200

Students recorded how many laps they could run around a track. They recorded their data in the dot plot below. What is the spread of the data? 

               0                            

           0     0           0            0    

0     0     0    0     0     0     0

<----|----|----|----|----|----|----|---->

1     2     3     4    5     6    7

6 laps


Spread means Range: greatest - least 

7 - 1 =6

200

The stem and leaf plot below represents test scores for a class. What is the mode of the test scores? 

Stem | Leaf         

6 |  2, 7, 7, 9

7 |  0, 3, 5, 8 

8 |  1, 4, 4, 4, 5 

9 |  2, 8, 9

84


Mode: Most often

Find which test scores happens the most. 

84 occurs 3 times

200

Below is a list of test scores from a 4th grade class

56, 74, 91, 82, 74, 88, 89, 65, 74, 97

Which of the following is true?

A. 2 students scored below a 60

B. 3 students scored a 74

C. 12 students took the test

D. The highest test score was a 100

B. 3 students scored a 74

200

When a question asks for the most often what do you need to find? 

The Mode

200

When a question asks for the fair share or average what do you need to find? 

The Mean

300

Students recorded how many laps they could run around a track. They recorded their data in the dot plot below. What is the mode of the data?

               0                            

           0     0           0            0    

0     0     0    0     0     0     0

<----|----|----|----|----|----|----|---->

1     2     3     4    5     6    7

3


Mode: most often

Find which number has the most circles above it

300

The stem and leaf plot below represents test scores for a class. What is the median of the test scores? 

Stem | Leaf         

6 |  2, 7, 7, 9

7 |  0, 3, 5, 8 

8 |  1, 4, 4, 4, 5 

9 |  2, 8, 9

79.5


Median: middle, line them up in order and cross out until you get to the middle. If there's 2 in the middle add them together and divide by 2

62, 67, 67, 69, 70, 73, 75, 78, 81, 84, 84, 84, 85, 92, 98, 99

78 + 81 = 159, 159/2 =79.5

300

The teacher is going to collect all of the in the class books and divide them out equally between the students.  The number of books each student gets represents the ____________. 

A. Range

B. Mode

C. Median

D. Mean

D. Mean

300

The numbers below represent the ages of the students in a karate class.

    21, 18, 12, 17, 12

For this data, what is the range?

9


Range is the greatest - least

21- 12 = 9

300

The numbers below represent the ages of the students in a karate class.

    21, 18, 12, 17, 12, 11, 14, 16

What is the median age of the students?

15


Median: middle, line up all numbers from greatest to least and find the middle

11, 12, 12, 14, 16, 17, 18, 21

If there are 2 medians, add them and divide them by 2

14 + 16 = 30

30/2 = 15

400

Students recorded how many laps they could run around a track. They recorded their data in the dot plot below. What is the total amount of laps all the students ran? 

               0                            

           0     0           0            0    

0     0     0    0     0     0     0

<----|----|----|----|----|----|----|---->

1     2     3     4    5     6    7

48 laps


Add up all of the laps

7+7+6+5+5+4+3+3+3+2+2+1=48

400

The stem and leaf plot below represents test scores for a class. What is the average of the test scores? 

Stem | Leaf         

6 |  2, 7, 7, 9

7 |  0, 3, 5, 8 

8 |  1, 4, 4, 4, 5 

9 |  2, 8, 9

79.25


Average means Mean: Add up all then divide by how many

62+67+67+69+70+73+75+78+81+84+84+84+85+92+98+99= 1,268

1268/16= 79.25

400

The line plot below shows how much money parents spent at the book fair. How much money was spent by the four people that spent the greatest amounts at the book sale?


                          0                            

    0     0    0            0    

0     0     0    0            0     0

<----|----|----|----|----|----|----|---->

21   22   23   24   25   26   27

$104


Add up the 4 highest numbers

25 + 26 + 26 +27 = 104

400

Look at the following prices for new refrigerators.  

      $425, $530, $725, $675, $425

What is the mode? 

$425


Mode is the one that occurs most often

$425 is the only number that occurs twice

400

The numbers below represent the ages of the students in a karate class.

    21, 18, 12, 17, 12, 11, 14, 16

What is the average age of the students?

15.125


Average means Mean: add up all the numbers then divide by how many numbers

21+18+12+17+12+11+14+16 = 121

121/8 = 15.125

500

Students recorded how many laps they could run around a track. They recorded their data in the dot plot below. What is the mean of the data? 

               0                            

           0     0           0            0    

0     0     0    0     0     0     0

<----|----|----|----|----|----|----|---->

1     2     3     4    5     6    7

4


Add up all of the laps

7+7+6+5+5+4+3+3+3+2+2+1=48

Then divide by the number of students that ran laps

48/12=4

500

The stem and leaf plot below represents test scores for a class. How many students scored less than the median? 

Stem | Leaf         

6 |  2, 7, 7, 9

7 |  0, 3, 5, 8 

8 |  1, 4, 4, 4, 5 

9 |  2, 8, 9

8 students


1. find the median. 

2. count how many are below the median. 

62, 67, 67, 69, 70, 73, 75, 78, 81, 84, 84, 84, 85, 92, 98, 99

78 + 81 = 159, 159/2 =79.5

8 scored less than a 79.5


500

The stem and leaf plot below represents test scores for a class. If the lowest score to make a C is a 70, how many students scored a C or better? 

Stem | Leaf         

6 |  2, 7, 7, 9

7 |  0, 3, 5, 8 

8 |  1, 4, 4, 4, 5 

9 |  2, 8, 9

12 students


Count all the students that scored 70 or higher

500

Look at the following prices for new refrigerators.  

    $425, $530, $725, $675, $425

What is the range? 

$300


Range: the greatest - the least

725 - 425 = 300

500

Look at the following prices for new TVs.  

    $425, $530, $725, $675, $425, $565, $715

What is the average price of a new TV?

$580


Average means Mean

425+530+725+675+425+565+715=4060

4060/7=$580