Binned Frequency Table

Question

The exam results for unit 1 are given below. Complete the frequency table columns for this data (using 10 point bins).

(Round the relative frequencies to the nearest tenth.)

85, 85, 88, 91, 78, 95, 83, 85, 70, 93, 76, 80, 86, 69, 78, 85, 86, 72, 73, 92, 89, 78, 68, 79, 84, 90, 65, 87, 83, 89, 86, 75, 83, 80, 80, 90, 94, 95, 78, 78.

3.
Bin
Frequency
60-69

70-79

80-89

90-99


4.
Bin
Relative Frequency
60-69
%
70-79
%
80-89
%
90-99
%

5.
Bin
Cumulative Frequency
60-69

70-79

80-89

90-99

Answer 1

3. FREQUENCY

 

First create the categories, then make tally marks next to each category, then add the tally marks

 

Bin                       Frequency

 

60-69                      3 (because there are a total of 3 scores in this category)

 

70-79                     11

 

80-89                     18

 

90-99                       8

 

Total                       40

 

4.  Relative frequency

 

Divide each frequency above by 40, the total number

  

Bin                      Relative Frequency

 

60-69                   7.5%

 

70-79                  37.5%

 

80-89                  45.0%

 

90-99                  20.0%

 

Total                  100%

 

 

5.Cumulative frequency

 

Bin                     Cumulative Frequency

 

60-69                  3 (the frequency for this bin in #3 above)

 

70-79                  14 (add the first 2 frequencies in #3 above)

 

80-89                  32 (add the first 3 frequencies in #3 above)

 

90-99                  40 (add all 4 frequencies - this should match the total in #3 above