Question

i forgot to add the rest of the question

yes 48 is correct

Technology changes quickly and yet has a large impact on our lives. Recently, Rachel was busy chatting with her friends yia text message when her mom was trying to also have a comversation with her. Afterward, they had a discussion about what is an appropriate number of texts to send each day. Since they could not Pgree, they decided to collect data on the number of texts people send on any given day. They each asked 24 of their friends the following question: "What is the average number of texts you SEND each day The data and histogram representing all 48 responses are shown below: (0 2, 3, 3, 5, 5, 5, 5, 5, 5.5, 6, 6, 6, 10, 12, 13, 15, 15, 16, 20, 25, 35, 36, 70, 80, 85,, 110, 130, 137, 138, 138, 140, 142, 143, 145, 150, 150, 150, 150, 150, 150, 150, 155, 162, 164, 165, 175, 275) Part A 1 What conclusions might be made based on the histogram above? on ts Bepresent the same data by creating a box plot above the histogram, 3 What story does the box plot tell? Describe the pros and cons of each representation (histogram and box plot). In other words, what information does each representation highlight? What information does each representation hide or obscure? Page | 13 Pert Prior to talking aboyt the data with her mom, Rachel had created a box plot using her owm data she collected and it lpoked quite different than when they combined their data. Average number of texts sent each day 4 Describe the data Rachel collected from her friends. What does this information tell you? 5. Compare the two box plots (Rachel's data vs all data). 6 Rachel wants to continue sending her normal number of texts (average of 100 per day) and her mom would like her to decrease this by half. Present an argument for each side, using mathematics to justify each person's request Page | 14

Answer 1

The data provided consisting of 49 data points has the following histogram

Bin	Frequency
0	1
35	22
70	2
105	2
140	6
175	15
210	0
245	0
280	1
More	0

25 20 15 10 35 70 105 140 175 210 245 280 More LO

Ans1:- the histogram is rightly skewed, i.e. no. of texts people send on any given day are more lower numbers and as the no. of texts increases its frequency continues to fall.

Ans 2:- the box plot

300 250 200 150 100 50 0 LO

Ans 3: the box plot clearly tells that the max data points lies between 5 to 150, the max value of 275 is an outlier that can be ignored and consider 175 to be the max value.

however box plot  can not clearly shows the frequency of the data points. say data points between 2 to 35 has the max frequency which is clearly shown in the histogram.