FREQUENCY TABLES, LINE PLOTS, & HISTOGRAMS

TERMS Frequency  number of times that something happens **The key here is that frequency is always about the NUMBER of times Frequency table  a table that shows the frequencies of items

EXAMPLE 1 A number cube was rolled 20 times. The results were: Make a frequency table of this data. 2 6 5 3 4 1

EXAMPLE 1 2 6 5 3 4 1 Number Tally Frequency 1 II 2 IIII 4 3 III 5 6

LINE PLOT To make a line plot: Draw a number line that includes all the values (in example 1 this was 1,2,3,4,5,6) 2. Place an “X” above each number to indicate the number of times it occurs.

Number Tally Frequency 1 II 2 IIII 4 3 III 5 6 X X X X X X 1 2 3 4 5 6

HISTOGRAM A graph that shows the frequencies of the data **Looks like a bar graph.

EXAMPLE 2 The number incorrect on the latest quiz in Mr. Marvel’s algebra class 1 10 5 2 2 1 1 9 1 7 0 2 3 3 1 0 4 8 4

EXAMPLE 2 1 10 5 2 2 1 1 9 1 0 2 3 3 1 0 4 8 4 Decide on an interval size (starts with 0 goes to 10) Interval size: 2

EXAMPLE 2 1 10 5 2 2 1 1 9 1 0 2 3 3 1 0 4 8 4 Decide on an interval size (starts with 0 goes to 10) Interval size: 2 2. Make a frequency table

EXAMPLE 2 4 1 10 5 2 2 1 1 9 1 7 0 2 3 3 1 0 4 8 4 Number Incorrect 4 1 10 5 2 2 1 1 9 1 7 0 2 3 3 1 0 4 8 4 Number Incorrect Tally Frequency 0 – 1 IIII II 7 2 – 3 IIII 5 4 – 5 4 6 – 7 I 1 8 – 9 II 2 10 - 11

Frequency for the Number Incorrect Tally Frequency 0 – 1 IIII II 7 2 – 3 IIII 5 4 – 5 4 6 – 7 I 1 8 – 9 II 2 10 - 11 Frequency for the Number Incorrect 5 Frequency 0 – 1 2 – 3 4 – 5 6 – 7 8 – 9 10 - 11 Number Incorrect

Frequency for the Number Incorrect Tally Frequency 0 – 1 IIII II 7 2 – 3 IIII 5 4 – 5 4 6 – 7 I 1 8 – 9 II 2 10 - 11 Frequency for the Number Incorrect 5 Frequency 0 – 1 2 – 3 4 – 5 6 – 7 8 – 9 10 - 11 Number Incorrect

Frequency for the Number Incorrect Tally Frequency 0 – 1 IIII II 7 2 – 3 IIII 5 4 – 5 4 6 – 7 I 1 8 – 9 II 2 10 - 11 Frequency for the Number Incorrect 5 Frequency 0 – 1 2 – 3 4 – 5 6 – 7 8 – 9 10 - 11 Number Incorrect

Frequency for the Number Incorrect Tally Frequency 0 – 1 IIII II 7 2 – 3 IIII 5 4 – 5 4 6 – 7 I 1 8 – 9 II 2 10 - 11 Frequency for the Number Incorrect 5 Frequency 0 – 1 2 – 3 4 – 5 6 – 7 8 – 9 10 - 11 Number Incorrect

Frequency for the Number Incorrect Tally Frequency 0 – 1 IIII II 7 2 – 3 IIII 5 4 – 5 4 6 – 7 I 1 8 – 9 II 2 10 - 11 Frequency for the Number Incorrect 5 Frequency 0 – 1 2 – 3 4 – 5 6 – 7 8 – 9 10 - 11 Number Incorrect

Frequency for the Number Incorrect Tally Frequency 0 – 1 IIII II 7 2 – 3 IIII 5 4 – 5 4 6 – 7 I 1 8 – 9 II 2 10 - 11 Frequency for the Number Incorrect 5 Frequency 0 – 1 2 – 3 4 – 5 6 – 7 8 – 9 10 - 11 Number Incorrect

Frequency for the Number Incorrect Tally Frequency 0 – 1 IIII II 7 2 – 3 IIII 5 4 – 5 4 6 – 7 I 1 8 – 9 II 2 10 - 11 Frequency for the Number Incorrect 5 Frequency 0 – 1 2 – 3 4 – 5 6 – 7 8 – 9 10 - 11 Number Incorrect

Assignment 12.1: 1 – 17, 20 - 23