31 means 31 31 29 42 4 6 8 9 5 1 33 5 6 7 9 60 1 3 3 3 5 6 8 8 9 71 2 2 2 4 5 5 5 6 8 8 8 8 9 8 0 1 2 358 8 9
31 means 31 31 29 42 4 6 8 9 5 1 33 5 6 7 9 60 1 3 3 3 5 6 8 8 9 71 2 2 2 4 5 5 5 6 8 8 8 8 9 8 0 1 2 358 8 9
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:60 1 33 3 56 8 8 9
71 2 2 2 4 5 5 5 6 8 8 8 8 9
4 of 8
8 0 1 2 3 58 8 9
90 1 2
a) Write down the modal aptitude score.
b) Find the median and quartiles of the data.
c)
For these data, Ex= 3363 and £x² = 238 305.
Calculate the mean and standard deviation for these data, giving your answers to 2 decimal
places.
d) Find the percentage of the data that lies within ±1 standard deviation of the mean.
Question 5
A researcher measured the foot lengths of a random sample of 120 ten-year-old children. The
lengths are summarised in the table below.
Foot length, I, (cm)
Number of children
10 <1< 12
5
12 <1< 17
53
17<1< 19
29
19<1< 21
15
21 <1< 23
11
23 <1< 25
7
a) What is the modal class?
b) Which class contains the median?
c) Calculate an estimate for the mean of this data.
Transcribed Image Text:3 of 8
90
95
100
105
110
115
Height (cm)
a) Use the box plot to write out and complete the table shown below.
Minimum
Lower
Median
Upper
Quartile
Maximum
Quartile
(cm)
103
(cm)
(cm)
(cm)
(cm)
108
90
105
114
Girls
Вoys
b) What percentage of the boys are shorter than 109 cm?
c) What percentage of the girls are taller than 105 cm?
d) Fully compare the heights of the boys with the heights of the girls.
Criteria 3.1: Calculate the mean, median, mode, quartiles and standard deviation of discrete and
grouped data.
Question 4
The following stem and leaf diagram shows the aptitude scores x obtained by all the 50 applicants
for a particular job.
31 means 31
3 1 2 9
42 4 6 89
5 1 3 3 5 6 7 9
60 1 3 3 356 8 8 9
71 2 2 2 4 5 5 5 6 8 8 8 89
80 1 2 3 5 8 8 9
90 1 2
a) Write down the modal aptitude score.
b) Find the median and quartiles of the data.
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