a) The cumulative frequency table below shows the marks earned by 1400 students in Mathematics and English 1500 1400 1300 1200 1100 English Mathematics 1000 900 800 700 600 500 400 300 200 100 10 20 30 40 50 60 70 80 90 100 Marks Using the graph above i. How many students got more than 40 marks in mathematics? How many students got between 60 and 70 marks in English? ii. Cumulative frequency

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Question 2
a) The cumulative frequency table below shows the marks earned by 1400 students in
Mathematics and English
1500
1400
1300
1200
1100
English /
Mathematics
1000
900
800
700
600
500
400
300
200
100
10
20
30
40
50
60
70
80
90
100
Marks
Using the graph above
i.
How many students got more than 40 marks in mathematics?
ii.
How many students got between 60 and 70 marks in English?
Cumulative frequency
Transcribed Image Text:Question 2 a) The cumulative frequency table below shows the marks earned by 1400 students in Mathematics and English 1500 1400 1300 1200 1100 English / Mathematics 1000 900 800 700 600 500 400 300 200 100 10 20 30 40 50 60 70 80 90 100 Marks Using the graph above i. How many students got more than 40 marks in mathematics? ii. How many students got between 60 and 70 marks in English? Cumulative frequency
iii.
Use suitable data from these graphs, use the median and interquartile range to
compare the marks in Mathematics and English.
b) The number of planes to arrive at the Dubai International Airport over N days were
recorded and inputted into MINITAB for analysis. Exhibit 1 was subsequently
generated.
Exhibit 1
Stem-and-Leaf Display: No. of Arrival
Leaf Unit = 1
N =*
01123
10
56899
**
3.
0001123
(***)
6666678888
12
4
01134
7
4
57789
2
00
Calculate he missing values *, ** and ***
Find the value of the
i.
ii.
a) Median
b) Highest value
c) Mode
c) Using the stem and leaf diagram in Exhibit 1,
i.
Form a frequency table by identifying the class intervals implicitly.
Using the table created in 2ci) above,
ii.
Calculate the sample mean
iii.
Calculate the sample variance
Transcribed Image Text:iii. Use suitable data from these graphs, use the median and interquartile range to compare the marks in Mathematics and English. b) The number of planes to arrive at the Dubai International Airport over N days were recorded and inputted into MINITAB for analysis. Exhibit 1 was subsequently generated. Exhibit 1 Stem-and-Leaf Display: No. of Arrival Leaf Unit = 1 N =* 01123 10 56899 ** 3. 0001123 (***) 6666678888 12 4 01134 7 4 57789 2 00 Calculate he missing values *, ** and *** Find the value of the i. ii. a) Median b) Highest value c) Mode c) Using the stem and leaf diagram in Exhibit 1, i. Form a frequency table by identifying the class intervals implicitly. Using the table created in 2ci) above, ii. Calculate the sample mean iii. Calculate the sample variance
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