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```					Integrated Algebra                                          Name __________________________
16.1 Notes – Histogram                                      Date _______________

We will be studying Statistics in this Chapter. We must look first at a few terms, and understand their meaning.

Statistics: _________________________________________________________________________________

__________________________________________________________________________________________

Data can be either ____________________________ or ____________________________________.

Qualitative: ________________________________________________________________________________

Example: _________________________________________________________________________________

Quantitative: _______________________________________________________________________________

Example: _________________________________________________________________________________

When we are studying statistics we use a sample, or a portion, to evaluate a situation. When studying data, you
should be careful when collecting data. Data should be collected carefully and correctly. Poorly designed
sampling techniques can result in ________, that is, the tendency to favor a selection of certain members of the
population which, in turn, produces unreliable conclusions.

We will begin by organizing data into a table.
Here is an example:

1) The following is a set of scores on a math test:

68, 77, 93, 61, 84, 88, 76, 91, 80, 100,
89, 82, 93, 88, 70, 97, 87, 88, 90, 85,
79, 99, 97, 88, 82, 100, 96, 95, 96, 100

We will organize the data into a table, using Interval, Tally and Frequency. Then we take the data and construct
a Histogram.

Interval      Tally     Frequency
61-65
66-70
71-75
76-80
81-85
86-90
91-95
96-100
Let’s do another one.

2) In 20 games, a basketball player scored these
points:

36, 32, 28, 30, 33, 36, 24, 33, 29, 30,
30, 25, 34, 36, 34, 31, 36, 29, 30, 34

(a) Complete the frequency table below:

Interval          Tally         Frequency
23-25
26-28
29-31
32-34
35-37

Sometimes after we find the frequency, we will need to find the cumulative frequency. The cumulative
frequency is found by adding, or accumulating, the frequencies for the intervals in the grouped data. Lets do an
example where we find the frequency and then the cumulative frequency.

3) Tracy recorded the number of calories she consumed for 20 consecutive days:

1200, 1153, 1106, 976, 980,
972, 1405, 1100, 1325, 1149,
1252, 972, 1341, 962, 1243,
1070, 1438, 1305, 1367, 1163

(a) Complete the frequency table below:            (b) Complete the cumulative frequency table for the data set.

Interval       Frequency                                                     Cumulative
Interval
Frequency
900–999
900–999
1000–1099
900–1099
1100–1199
900–1199
1200–1299
900–1299
1300–1399
900–1399
1400–1499
900–1499

We will use that data to construct a Cumulative Frequency Histogram on the next page.
4) The following data consists of the weights, in pounds, of 30 adults:

195, 206, 100, 98, 150, 210, 195, 106, 195, 168,
180, 212, 104, 195, 100, 216, 195, 209, 112, 99,
206, 116, 195, 100, 142, 100, 135, 98, 160, 155

Using the data, complete the accompanying cumulative frequency table and then construct a cumulative
frequency histogram.

Weight                                               Cumulative
Frequency
(in pounds)                                             Frequency
51-100
101-150
151-200
201-250

Now construct a Cumulative Frequency Histogram.
5.

The histogram shows the grade distribution for a mathematics test given to Ms. Keith's class. How many
students are in the class?

1.   12
2.   23
3.   28
4.   33

6.

The table shows the cumulative frequency of the ages of 35 people standing in a cafeteria line.

(a) Complete the frequency table, based on the data in the cumulative frequency table.

Interval   Frequency
10-19
20-29
30-39
40-49
50-59
60-69
7.

The frequency table shows the distribution of time, in minutes, in which 36 students finished the 5K Firecracker
Run.

(a) ________ students finished the race in less than 23 minutes.

(b) Complete the cumulative frequency table below from the given frequency table.

Interval   Cumulative
(minutes)   Frequency
14-16
14-19
14-22
14-25
14-28
14-31

8.

The cumulative frequency histogram shows the scores that 24
scores between 71 and 80?

1.   16
2.   8
3.   6
4.   4
9.

The accompanying histogram shows the scores of students on a math test. How many students have scores of
96 to 100?

1.   55
2.   20
3.   5
4.   4

10. The accompanying table shows the weights, in pounds, for the students in an algebra class.

Using the data, complete the cumulative frequency table below.

Cumulative
Interval      Frequency
Frequency
91-100:           6
101-110:           3
111-120:           0
121-130:           3
131-140:           0
141-150:           2
151-160:           2

Make a Cumulative Frequency Histogram on this data.

```
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