DESCRIBING DATA:Frequency Distribution Tables, Graphs, Histogram, Frequency

Polygon

OBJECTIVES

Organize qualitative data through frequency distribution tables and graphs.

Use frequency distribution tables to group quantitative data.

Construct histograms and frequency polygons given a set of quantitative data.

QUALITATIVE DATA:Frequency Table

A chef wants to build his own restaurant in a certain area. He decide to base his menu on the preferred cuisine of the immediate residents of the area so he did a survey on that.

Of the 200 residents interviewed, 93 stated a preference to home-cooked Filipino food. Thirty-nine likes Chinese food while 45 goes for the classic American fast food. On the other hand 16 would go for Japanese, while the rest were undecided.

QUALITATIVE DATA:Frequency Table

Of the 200 residents interviewed, 93 stated a preference to home-cooked Filipino food. Thirty-nine likes Chinese food while 45 goes for the classic American fast food. On the other hand 16 would go for Japanese, while the rest were undecided.

Cuisine Number of Residents

Filipino 93

Chinese 39

American 45

Japanese 16

Undecided 7

N=200

QUALITATIVE DATA:Frequency Table

Cuisine Number of Residents

Relative Frequency

Filipino 93 46.50

Chinese 39 19.50

American 45 22.50

Japanese 16 8.00

Undecided 7 3.50

N=200

QUALITATIVE DATA:Bar Graph

Filip

ino

Chine

se

Amer

ican

Japa

nese

Undec

...0

20

40

60

80

100Preferred Cuisine by 200 Residents

in an Area

QUALITATIVE DATA:Pie Chart

Filipino47%

Chinese20%

American23%

Japanese8%

Undecided4%

Preferred Cuisine by 200 Residents in an Area

QUANTITATIVE DATA:Frequency Distribution Table

A survey was taken on 5th Ave. In each of 20 homes, people were asked how many cars were registered to their households. The results were recorded as follows:

1, 2, 1, 0, 3, 4, 0, 1, 1, 1, 2, 2, 3, 2, 3, 2, 1, 4, 0, 0

Construct a frequency distribution table for the given data.

QUANTITATIVE DATA:Frequency Distribution Table

Number of Cars Owned

Number of

Residents

Relative Frequenc

y

0 4 20

1 6 30

2 5 25

3 3 15

4 2 10

N=20

QUANTITATIVE DATA:Frequency Distribution Table

Number of Cars Owned

Number of

Residents

Relative Frequenc

y

Cumulative

Frequency>

Cumulative

Frequency <

0 4 20 20 4

1 6 30 16 10

2 5 25 10 15

3 3 15 5 18

4 2 10 2 20

N=20

QUANTITATIVE DATA:Frequency Distribution Table

The following are the height of 30 students in a school:

98 120 135 107 143 125 12094

138 99 149 107 160 138 141161

105 112 121 108 109 119 119 136

153 140 140 115 142 116

Represent the data through a frequency distribution table.

QUANTITATIVE DATA:Frequency Distribution Table

One. Solve for the RANGE and CLASS SIZE

Two. Construct CLASS INTERVALS starting with the lowest score.

Three. Determine the frequency in each interval.

Height (in cm) Tally f

94-105 IIII 4

106-117 IIII-II 7

118-129 IIII-II 6

130-141 IIII-I 7

142-153 IIII 4

154-165 II 2

n=30

QUANTITATIVE DATA:Frequency Distribution Table

Four. Compute for the CLASS MARK of each interval.

Five. Calculate the relative and cumulative frequencies.

Height (in cm)

Tally f Class Mark

x

rf Cf> Cf<

94-105 IIII 4 99.5 13.33

30 4

106-117 IIII-II 7 111.5 23.33

26 11

118-129 IIII-II 6 123.5 20.00

19 17

130-141 IIII-I 7 135.5 23.33

13 24

142-153 IIII 4 147.5 13.33

6 28

154-165 II 2 159.5 6.67 2 30

n=30 100