Question

ents keep track of their social interactions of social interactions over the week is below. using the table anwer the following: a. how many stude participated in the study? b. what is the class width? c. what class has the highest frequency?

Explanation:

Step1: Calculate total number of students

To find the number of students who participated in the study, sum up all the frequencies.
$$14 + 16+11 + 20+16+12 + 4+6+0 + 4$$
$$=(14 + 16)+(11 + 20)+(16+12)+(4 + 6)+(0 + 4)$$
$$=30+31 + 28+10+4$$
$$=103$$

Step2: Determine class width

Take two consecutive lower - class limits (e.g., \(9\) and \(14\)). Class width \(=14 - 9=5\)

Step3: Identify class with highest frequency

Compare the frequencies \(14,16,11,20,16,12,4,6,0,4\). The highest frequency is \(20\), and its corresponding class is \(39 - 44\)

Answer:

A. \(103\)
B. \(5\)
C. \(39 - 44\)