# DESCRIBING DATA - mcumathematified

```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.
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.
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
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
100
80
60
40
20
0
Preferred Cuisine by 200 Residents in an
Area
Preferred Cuisine by 200 Residents in an
Area
Undecided
4%
Japanese
8%
American
23%
Chinese
19%
Filipino
46%
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.
Number of
Cars Owned
Number of
Residents
Relative
Frequency
0
4
20
1
6
30
2
5
25
3
3
15
4
2
10
N=20
Number of
Cars Owned
Number of
Residents
Relative
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
Cumulative Cumulative
Frequency Frequency
>
<
The following are the height of 30 students in a school:
98
120
135
107
143
125
120
94
138
99
149
107
160
138
141
161
105
112
121
108
109
119
119
136
153
140
140
115
142
116
Represent the data through a 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
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
```
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