I need help with Part D - d) What percentage of households in the survey have three televisions? - Thank you!
A researcher wanted to determine the number of televisions in households. He conducts a survey of 40 randomly selected households and obtains the data in the accompanying table. Table of television counts
0
3
2
2
1
3
2
1
4
3
2
1
1
0
2
2
4
3
1
1
1
2
1
4
1
2
1
1
5
2
1
3
2
2
2
3
2
2
1
3
(a) Are these data discrete or continuous? Explain.
A. The given data are continuous because they can take on any real value.
B. The given data are continuous because they can only have whole number values.
C. The given data are discrete because they can take on any real value.
D. The given data are discrete because they can only have whole number values. CORRECT ANSWER
(b) Construct a frequency distribution of the data.
Televisions |
Frequency |
---|---|
00 |
2 |
11 |
13 |
22 |
14 |
33 |
7 |
44 |
3 |
55 |
1 |
(c) Construct a relative frequency distribution of the data.
Televisions |
Relative Frequency |
---|---|
00 |
0.05 |
11 |
0.325 |
22 |
0.35 |
33 |
0.175 |
44 |
0.075 |
55 |
0.025 |
(Type integers or decimals. Do not round.)
d) What percentage of households in the survey have three televisions?
__?__%
(Type an integer or a decimal. Do not round.)
Here we calculated the relative frequency for number of televisions households have.
The household in the survey have 3 televisions has relative frequency = 0.175
So we can express relative frequency in percent as 17.5 %
The percentage of households in the survey have 3 televisions = 17.5 %
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