Please give me the explanation behind each question. I must know how you reached
ID: 3066004 • Letter: P
Question
Please give me the explanation behind each question. I must know how you reached your answer!
The five-number summary below shows the grade distribution of two STAT 200 quizzes for a sample of 500 students.
For each question, give your answer as one of the following: (i) Quiz 1; (ii) Quiz 2; (iii) Both quizzes have the same value requested; (iv) It is impossible to tell based on the given information. Then explain your answer in each case.
(a) Which quiz has less interquartile range in grade distribution?
(b) Which quiz has the greater percentage of students with grades 85 and over?
(c) Which quiz has a greater percentage of students with grades less than 60?
Please, explaning reasoning for answers!
Minimum Q1 Median Q3 Maximum Quiz 1 15 35 55 85 100 Quiz 2 20 35 50 90 100Explanation / Answer
a)
interquartile range is calculated as
IQR = Q3 - Q1
for Quiz1 = 85 - 35 = 50
for Quiz2 = 90 - 35 = 55
so, quiz2 has less interquartile range
b)
Q3 represents the 75th percentile. S0, Quiz 2 is having grades 90 this is not in the case quiz 1
c)
Median is the middle number of the data
So,median of Quiz 1 is having 55 which is less than 60