Question

Suppose a survey of adults and teens (ages 12-17) in a certain country was conducted to determine the number of texts set in a single day (a) Construct a relative frequency distribution for adults. (bj Constructa relative frequency distribution for teens (c) Construct a side by side relative frequency bar graph (d) Compare the texting habits of adults and teens Number of Texts Adult Teens None 55-100 158 187 (a) Complete the table below Number of Texts Adults 11-20 21-50 51-100 Round to the decimal place by Complete the table below Number of Texts 11-20 21-50 51-100

Answer 1

Given that a survey of adults and teens (ages 12-17) in a country was conducted to determine the number of texts sent in a single day.

The data is provided below,

Number of Texts	Adults	Teens
None	183	18
1-10	971	131
11-20	245	63
21-50	246	111
51-100	143	123
100+	158	187

(a) Now here we need to construct a relative frequency distribution for adults.

Now relative frequency is calculated using,

$\emph{Relative Frequency}=\frac{Frequency}{\emph{Total Frequency}}$

Number of Texts	Adults
None	183
1-10	971
11-20	245
21-50	246
51-100	143
100+	158
Total	1946

Example: Relative frequency for adults who do not text = 183/1946 = 0.09

The completed relative frequency table is provided below,

Number of Texts	Adults	Relative Frequency
None	183	0.094
1-10	971	0.499
11-20	245	0.126
21-50	246	0.126
51-100	143	0.073
100+	158	0.081
Total	1946	1

(b) Now here we need to construct a relative frequency distribution for teens.

Now relative frequency is calculated using,

$\emph{Relative Frequency}=\frac{Frequency}{\emph{Total Frequency}}$

Number of Texts	Teens
None	18
1-10	131
11-20	63
21-50	111
51-100	123
100+	187
Total	633

Example: Relative frequency for teens who do not text = 18/633 = 0.028

The completed relative frequency table is provided below,

Number of Texts	Teens	Relative Frequency
None	18	0.028
1-10	131	0.207
11-20	63	0.1
21-50	111	0.175
51-100	123	0.194
100+	187	0.295
Total	633	1

(c) Now here we need to construct a side-by-side relative frequency bar graph.

Now relative frequency bar graph is nothing different than a bar graph except that in a bar graph we have frequency in the y-axis where as relative frequency bar graph have relative frequency in the y-axis.

A side-by-side relative frequency bar graph for number of texts sent in a single day by adults and teens (ages 12-17) in a country is given below.

Relative frequency Bar Graph for Number of Texts Sent Relative Frequency Teens Teens Adults Adults Ad uts Teens Adults Ad uts Teens Teens Ad uts Teens Number of Texts bore mio modo t o Stibo Door

(d) Now we need to compare the texting habits of adults and teens.

Clearly form the relative frequency bar graph we can see that adults text lesser than the than the teens or we can say that teens have a habit of texting more than the adults.