In: Statistics and Probability
Given the data on scores of students final grade in statistics (in percent) determine the following statistics.
43 45 48 51 53 54 57 59 60 60 60 60 61
70 70 71 71 72 72 72 75 76 76 79 81 81
83 85 87 88 88 89 89 91 92 93 96 98 98
99 100 101 101
1. Create a relative frequency distribution table and histogram to determine the percentage of students getting a particular grade in statistics class. Do this by separating into 7 different classes by using 40’s, 50’s, 60’s, 70’s, 80’s, 90’s, 100’s. This will essentially be a table and graph of the probability distribution for final grade.
2. Determine the following
a. What is the probability of having a final score below 60?
b. What is the probability of having a final score between 60 and 90?
c. What is the probability of having a final score above 70?
Relative frequency =
corresponding class frequency /total frequency
Percentage =Relative frequency *100
A) Prob of final score below 69 =
sum of previous frequency below 60/total frequency =8/43=0.186
B) Prob of score between 60 and 90 =
P(X<=90)-P(X<=60)=(0.767-0.186) = 0.581
C) Probability of final score above 70 =0.442
Solution file is attached go through it
Thanks