# Tally _ Frequency Charts

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```					                          Tally & Frequency Charts
A Tally & Frequency chart is a tool for organizing data. We use it to group data into
categories and show the number of observations in each category. This is the step before
drawing histograms.

Example:

Construct a distribution of the following on the amount of time (in hours) that high
school students devoted to leisure activities during a typical school week. Create a Tally
and Frequency Table using the classes: 10-14, 15-19, 20-24, 25-29, 30-34, 35-39

23         24        18         14         20
16         15        19         10         22
29         22        38         28         34
16         28        38         18         12
30         17        22         29         29

Hours                          Tally                          Frequency
10-14

15-19

20-24

25-29

30-34

35-39
1. The following are the body weights of 25 rats used in a study for vitamin
deficiencies:

136            92      115       118       121
119           115      101       129       87
127           103      110       126       118
146           126      119       119       105
106           125      117       102       146

a. Groups these weights into the following classes: 80-89, 90-99, 100-109, 110-119,
120-129, 130-139, 140-149
b. Complete the tally and frequency chart
c. In which class do the fewest data occur? In which class do the most data occur?

2. The following are the grades which 25 students obtained in an accounting test:

73          65       82        70        45
75          67       65        60        75
58          75       89        70        73
43          51       59        38        65
49          97       55        60        76

a. Groups these weights into the following classes: 30-39, 40-49, 50-59, 60-69, 70-
79, 80-89, 90-99
b. Complete the tally and frequency chart
c. In which class do the fewest data occur? In which class do the most data occur?

3. The following are a set of test results from a biology test:

5             91         85          76         85
82            75         100         70         88
87            69         89          54         74
25            67         77          92         82
96            98         46          70         32

a. Groups these weights into the following classes: 0-9, 10-19, 20-29 30-39, 40-
49, 50-59, 60-69, 70-79, 80-89, 90-99, 100-109
b. Complete the tally and frequency chart
c. In which class do the fewest data occur? In which class do the most data
occur?
d. Did any classes have no test scores? Which one(s)?
e. Calculate the mean, median and mode of the test scores.
4. Following is a table of masses in kilograms for 50 grade ten students

48                   61                58                 58                57
59                   55                54                 57                52
56                   51                54                 58                49
55                   48                49                 59                51
57                   60                51                 57                60

a. Groups these weights into the following classes: 48-50, 51-53, 54-56, 57-59,
60-62,
b. Complete the tally and frequency chart
c. In which class do the fewest data occur? In which class do the most data
occur?

5. A psychologist gave an IQ test to a group of students. These were the results:

107                   87                 105                   104               94
94                    116                122                   122               124
88                    86                 131                   108               139
115                   101                96                    117               97
119                   116                131                   79                124

a. Groups these weights into the following classes: 90-94, 95-99, 100-104, 105-
109, 110-114, 115-119, 120-124, 125-129, 130-134, 135-139
b. Complete the tally and frequency chart
c. How many students were tested?
d. In which class do the fewest data occur? In which class do the most data
occur?

6. Twenty five students entered a burger eating contest. The number of burgers
eaten by each student is as follows:

8                     12                 5                     6                 9
14                    11                 1                     15                8
10                    12                 3                     7                 11
4                     10                 7                     14                4
6                     2                  5                     6                 12

a.   Groups these weights into the following classes: 0-2, 3-5, 6-8, 9-11, 12-14, 15-17
b.   Complete the tally and frequency chart.
c.   How many burgers did the winner eat?
d.   In which class do the fewest data occur? In which class do the most data occur?

```
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