Question 6 For this question you can use the following information: A data value, X, can be defined as an outlier if: X < Q1- 1.5 × IQR X > Q3 + 1.5 x IQR A University tutor recorded the test results of the students in each of her two groups. The highest possible mark was 90. The results of the students in group A are summarised in the box-plot below. Group A 30 40 50 60 70 80 90 Mark out of 90 a) Find the range of the marks. b) Write down the mark that is exceeded by 75% of the students. c) Find the value of the median and interquartile range.
Question 6 For this question you can use the following information: A data value, X, can be defined as an outlier if: X < Q1- 1.5 × IQR X > Q3 + 1.5 x IQR A University tutor recorded the test results of the students in each of her two groups. The highest possible mark was 90. The results of the students in group A are summarised in the box-plot below. Group A 30 40 50 60 70 80 90 Mark out of 90 a) Find the range of the marks. b) Write down the mark that is exceeded by 75% of the students. c) Find the value of the median and interquartile range.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Question 6 continued
The results for group B are summarised by the stem and leaf diagram below.
2 359
4
3 4 4 7 8 8
5 0 1 2 4557 8
6 05 8
70
8 6
Key: 315 means 35 marks
e) Find Q1, Q2 and Q3 for group B's results.
f) Use your answers to part e) to identify any outliers. Show your method.
g) Compare and comment on the performance of the students in group A and group B
(credit will be given for accurate use of statistical terms and for the correct
interpretation).

Transcribed Image Text:Question 6
For this question you can use the following information:
A data value, X, can be defined as an outlier if:
X < Q1- 1.5 × IQR
X > Q3 + 1.5 x IQR
A University tutor recorded the test results of the students in each of her two groups.
The highest possible mark was 90.
The results of the students in group A are summarised in the box-plot below.
Group A
門
30
40
50
60
70
80
90
Mark out of 90
a) Find the range of the marks.
b) Write down the mark that is exceeded by 75% of the students.
c) Find the value of the median and interquartile range.
d) Describe the skew.
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