A survey of U.S. adults and teens (ages 12-17 ) was...

A survey of U.S. adults and teens (ages $12-17$ ) was administered by Pew Research April 29-May 30,2010 to determine the number of texts sent in a single day. (a) Construct a relative frequency distribution for adults. (b) Construct a relative frequency distribution for teens. (c) Construct a side-by-side relative frequency bar graph. (d) Compare the texting habits of adults and teens. (TABLE CAN'T COPY)

A survey of U.S. adults and teens (ages $12-17$ ) was administered by Pew Research April 29-May 30,2010 to determine the number of texts sent in a single day.
(a) Construct a relative frequency distribution for adults.
(b) Construct a relative frequency distribution for teens.
(c) Construct a side-by-side relative frequency bar graph.
(d) Compare the texting habits of adults and teens.
(TABLE CAN'T COPY)

Key Concepts

Relative Frequency Distribution

A relative frequency distribution is a summary that shows the proportion or percentage of the total number of observations that fall within each class or category. It is calculated by dividing the frequency of a category by the overall total frequency, which helps provide a normalized view of the data regardless of sample size.

Side-by-Side Bar Graph

A side-by-side bar graph is a visual tool used to compare categorical data across two or more groups by placing bars for each category next to each other. This allows clear comparison between the groups, making it easier to spot differences and trends in the distribution of the data.

Comparative Analysis

Comparative analysis in the context of data involves examining and contrasting the characteristics of two or more groups to identify patterns or differences. In this case, it involves comparing the texting habits between two distinct populations, which provides insights into behavioral differences and similarities.

Transcript

00:01 Hello everyone.

00:01 So in this question, the data is given for the us adults and teens who were seen texting in a day.

00:09 How many texts they were sending in a day that was noted.

00:13 So from this, in the first segment of the question it is asked, we need to construct a relative frequency distribution for adults.

00:20 So when we talk about relative frequency distribution for adults, it is going to basically be the relative frequency, okay, which has the formula.

00:35 Frequency of that class, frequency of that class divided by sum of all frequencies.

00:47 So in this case, we need to find the relative frequency for adults, right? so i can write down over here adults.

00:54 And the event which we have considered here is none.

00:56 That means no text are exchange.

01:00 This will be equal to 173 divided by 1936.

01:04 So this comes out to be equal to 0 .0893.

01:07 Moving forward, we can similarly calculate the similarly for other events.

01:17 We can calculate the rf for adults.

01:20 And that is going to be equal to this plot.

01:23 So this is the data which is going to be obtained for relative frequency of adults having number of text exchange, none, 1 to 10, 11 to 20, etc.

01:31 So moving forward to the second segment of the question, in the second segment it is asked, what we need to construct a relative frequency distribution for teens.

01:39 So relative frequency distribution for teens.

01:46 So we can do this like the one which we have done in the above for adults.

01:50 So relative frequency is going to be equal to the frequency divided by sum of frequencies, right? so from this, let's suppose we are taking for rf teens and the event we have taken is none.

02:05 So 13 teens do not text.

02:08 That is 13 divided by total number is 627 of the frequency.

02:11 So that comes out to be 0 .0207.

02:14 Okay...

Please give Ace some feedback