Question

The following data represent the academic average of 33 students in the Department of Mathematics and Statistics

3.3 3.1 1.9 2.4 3.3 2.5 1.9 2.3 2.6 3.1 2.5 2.1 2.9 3.0 2.7 2.5 2.7 2.5 2.4 3.0 2.0 2.6 2.8 2.5 2.7 2.9 3.2 2.7 2.8 2.2 2.7 2.1 3.0

a) Construct a frequency distribution table (including both frequency and relative frequency). Use 5 classes.

b) Construct the corresponding histogram. c) Find the mean, median, standard deviation and range for the selected academic averages. d) Find the 5-number summary.

e) Find the interquartile range (???). Find outliers using ??? if there exists any.

f) Construct the boxplot for the above data set.

g) Find the percentile ?60.

h) Determine what percent the IQR is of the overall range.

Answer 1

CLASS	FREQUENCY	RELATIVE FREQUENCY
1.9-2.1	5	5/33=0.15
2.2-2.4	4	4/33=0.12
2.5-2.7	12	12/33=0.36
2.8-3.0	7	7/33=0.21
3.1-3.3	5	5/33= 0.15

Mean=2.63333
Standard Deviation (s) =0.38784

Range= Max-Min= 3.3-1.9=1.4

Median: 2.7
Minimum: 1.9
Maximum: 3.3
First quartile: 2.4
Third quartile: 2.95
Interquartile Range: 2.95-2.4=0.55

Please NOTE as per guidelines I have done the first four questions please repost the rest. Along with the data. Thank you :)