Question 1 A teacher received many emails from students in a Mathematics class. The raw data are given as follows: (a) (b) E-mail title A question about normal distribution (c) Re: A question about normal distribution Sorry teacher I did not attend the exam Exam questions Date 10/7/2022 10/7/2022 14/7/2022 14/7/2022 From Table 1, she then counted the number of students who sent 1, 2, 3, .... e-mails. The results are given in Table 2. Table 1: Raw data of all e-mails received from Mathematics students Number of emails sent 1 2 3 4 5 6 7 Frequency 80 41 16 7 Student Anne Hamid Freddy Hansen 5212. How many emails did the teacher receive? Henry Liew Thomas Hasler 8 21 Total Table 2: Frequency table of number of students who sent 1,2,3,... emails. 1 155 Find the percentage of students who sent 3 or less emails to the teacher. Find the mean and standard deviation of the number of e-mails sent. Compare the mean with the median. Which one is larger? What does this tell you about the skewness for the distribution of number of e-mails sent?

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Question 1
A teacher received many emails from students in a Mathematics class. The raw data are given
as follows:
(a)
(b)
E-mail title
A question about
normal distribution
(c)
Re: A question
about normal
distribution
Sorry teacher I did
not attend the exam
Exam questions
Date
10/7/2022
10/7/2022
14/7/2022
14/7/2022
From Table 1, she then counted the number of students who sent 1, 2, 3, .... e-mails. The
results are given in Table 2.
Number of
emails sent
Table 1: Raw data of all e-mails received from Mathematics students
1
2
3
4
5
6
7
Frequency
80
41
16
7
5
Student
Anne Hamid
Freddy Hansen
2
1
How many emails did the teacher receive?
Henry Liew
2
1
155
Thomas Hasler
8
21
Total
Table 2: Frequency table of number of students who sent 1,2,3,... emails.
Find the percentage of students who sent 3 or less emails to the teacher.
Find the mean and standard deviation of the number of e-mails sent. Compare the
mean with the median. Which one is larger? What does this tell you about the
skewness for the distribution of number of e-mails sent?
Transcribed Image Text:Question 1 A teacher received many emails from students in a Mathematics class. The raw data are given as follows: (a) (b) E-mail title A question about normal distribution (c) Re: A question about normal distribution Sorry teacher I did not attend the exam Exam questions Date 10/7/2022 10/7/2022 14/7/2022 14/7/2022 From Table 1, she then counted the number of students who sent 1, 2, 3, .... e-mails. The results are given in Table 2. Number of emails sent Table 1: Raw data of all e-mails received from Mathematics students 1 2 3 4 5 6 7 Frequency 80 41 16 7 5 Student Anne Hamid Freddy Hansen 2 1 How many emails did the teacher receive? Henry Liew 2 1 155 Thomas Hasler 8 21 Total Table 2: Frequency table of number of students who sent 1,2,3,... emails. Find the percentage of students who sent 3 or less emails to the teacher. Find the mean and standard deviation of the number of e-mails sent. Compare the mean with the median. Which one is larger? What does this tell you about the skewness for the distribution of number of e-mails sent?
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