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D Frequency Charts & Interval Ranges + Box and Whisker Plots
Contributed by: Lester

Tallies are a way to mark the occurance of a vote for a

catagory.  The number representing the tallies is a

frequency.  A cumulative frequency is a running total

of votes or occurances.  Study the frequency chart on

the next slide and prepare to complete your own.

 

Then complete the chart on the slide after next.  Now

click okay to continue.

Frequency charts
Tally            Frequency          Cumulative Frequency 

10

2

6

8

7

3

7 + 3 = 10
10 + 6 = 16
26 + 8 = 34
16 + 10 = 26
34 + 2 = 36

26

36

34

16

10

7
Tally            Frequency          Cumulative Frequency 

5

7

6

33

13

18

7
Tally            Frequency          Cumulative Frequency 

6

7

3

16

10

7

Again...

Tallies are a way to mark the occurance of a vote for a

catagory.  The number representing the tallies is a

frequency.  A cumulative                    is a running total

of votes or occurances.  This tells how many total votes

or occurances there were.  After reading this slide click

okay.

Frequency charts

Histograms are similar to bar graphs except they

group data into ranges.  This is handy when data can't 

easily be divided into categories.  An example would be

runners finishing a race. Times may be too spread out

for categories.  Therefore, intervals are used instead.

Your benchmark exams are divided into intervals of

20 as follows.

1-20

21-40

41-60

61-80

81-100

 

 

The interval range for this  data is        .

Each interval must have the same range.  When

we subtract the low from the high, we must have the

same range.  Complete the chart below.

10 - 14

15 - 19

20 - 24

5  -  9
0  -  4

The interval range is the high

of any  row minus the low

of the same row. 

The interval range for this  data is        .

9  - 12

13 - 16

17 -  20

5  -  8
1  -  4

The interval range is the high

of any  row minus the low

of the same row. 

The interval range for this  data is        .

  21   -   30

11   -   20

31   -   40

41   -   50

1   -   10

The interval range is the high

of any  row minus the low

of the same row. 

The interval range for this  data is        .

101   -  125

  51   -   75

26   -   50

76   -  100

1   -   25

The interval range is the high

of any  row minus the low

of the same row. 

Please complete the missing minimums

and maximums for the intervals below.

          -

21    -  40

61    -

41    -

1   -   20

Please complete the missing minimums

and maximums for the intervals below.

          -

26   -   50

        -

51    -

1   -   25

Please complete the missing minimums

and maximums for the intervals below.

          -

20    -   24

 

30    -

25   -

15   -   19

Please complete the missing minimums

and maximums an interval range of 19. 

          -

  8     -  

48    -

        -  

       -

107

Please complete the missing minimums

and maximums an interval range of 3. 

          -

  8     -  

        -

        -  

       -

  27

Please complete the missing minimums

and maximums an interval range of 14. 

          -

  8     -  

        -

        -  

       -

82

   Before beginning these practice exercises on

 

Box and Whisker plots, please gather the following:

 

        Calculator

        Yesterday's notes

        Pen/Pencil

 

 

Good Luck !

Step 2: Determine the median value of the data:  
Step 3:  Now  use the median to divide the data into 2 groups

Given the following data on ages of children.

10,12,9,7,10,12,6

 

Construct a box and whisker plot.

Step 4:   Median of the lower quartile
Group 1: 
Step 1:  Put the data in order from least to greatest. 

Record  the  values of your  median, lower quartile and upper quartile  to

answer questions on the next slide.

,
,
,
,
,
   Group 2:
,
     Median of the upper quartile
What is the lowest value of the data?
What is the highest value of the data?

 

(Problem continued  from previous slide)

 

data on ages of children.

10,12,9,7,10,12,6

 

Construct a box and whisker plot.

  

Warm Up  Exercises.

 

 subtract the lowest # from the highest #

sum of numbers ÷  number of data

put data in order, find middle value

which ever #(s) that occur the most

How do you find the range of a given set of data?

Use the box and whisker plot to answer the questions.

 

What is the median value of the data?
What is the median of the lower quartile?
20
What is the median of the  upper quartile?
30
38

What is the age of the youngest student?

 

What is the age of the oldest student?

 

What is the range of the data in this diagram?

8

Ages of Students

10
12
14
16
18
What is the median value of Nike Sneakers?
Which brand of sneakers has a  price range of $10?
Reebok
What is the value of the median of the lower quartile for Nike Sneakers?
Nike
32    34       36    38     40      42     44    46      48      50      52
Average Prices of Sneakers

Reebok

 Nike
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