6th Grade Math Textbook, Progress

Record and Interpret Data

9-4

Daria’s gym teacher wanted to find out how fast most

sixth graders could run the 100-meter dash.

The recorded times, in seconds, are shown below.

To recordand organize

the data, Daria makes a

cumulative frequency table.

She groups the data by range

of time and uses tally marks to

record the running times within

each range of times. Then she

counts the tallies to find the

frequency and shows a

running total of data to find

the cumulative frequency.

Daria concluded that most students

could run the race in 14.5 seconds

or less.

Rico records the same data in this ungrouped frequency table that

includes a row for relative frequency. Relative frequency compares

the frequency of a category to the total frequency.

He concluded that 14.4 seconds (0.20 of the total frequency)

was the time most frequently run for the 100-meter dash.

Running Times: 100-m Dash

Tally Frequency Cumulative

Frequency

10

13

3

4

10

23

26

30

13.6–14.0

14.1–14.5

14.6–15.0

15.1–15.5

Speed

(seconds)

Tally

Frequency

Relative

Frequency

Speed

(seconds) 13.7

2

0.07 0.17 0.07 0.03 0.07 0.13 0.03 0.20 0.07 0.03 0.07 0.03 0.03

13. 8

5

13.9

2

14.0

1

14.1

2

14.2

4

14.3

1

14.4

6

14.6

2

14.9

1

15.1

2

15.2

1

15.4

1

14.2

14.6

14.4

14.4

13.7

14.1

13. 9
    15.1
    14.2
    14. 9
    13. 9
    13.7

14.4

14.0

14.2

13.8

13.8

14.4

14.4

14.4

14.6

14.3

15.4

14.1

13.8

15.2

15.1

14.2

13.8

13.8

2 
 30 0.07

10  13  23

23  3  26

26  4  30 total frequency

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