4. Explain the logic behind the equations for the mean and standard deviation for grouped data, starting from the original equations for a simple list of data values.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Part 4
Question 1
The lifetimes (in units of 10 seconds) of certain satellite components
are shown in the frequency distribution given in 'Datasetl'.
1. Draw a frequency polygon, histogram and cumulative frequency
polygon for the data.
2. Calculate the frequency mean, the frequency standard deviation,
the median and the first and third quartiles for this grouped data.
3. Compare the median and the mean and state what this indicates
about the distribution. Comment on how the answer to this ques-
tion relates to your frequency polygon and histogram.
4. Explain the logic behind the equations for the mean and standard
deviation for grouped data, starting from the original equations
for a simple list of data values.
5. Set up the structure for a statistical test to determine whether the
data is normally distributed with the given mean and standard
Transcribed Image Text:Question 1 The lifetimes (in units of 10 seconds) of certain satellite components are shown in the frequency distribution given in 'Datasetl'. 1. Draw a frequency polygon, histogram and cumulative frequency polygon for the data. 2. Calculate the frequency mean, the frequency standard deviation, the median and the first and third quartiles for this grouped data. 3. Compare the median and the mean and state what this indicates about the distribution. Comment on how the answer to this ques- tion relates to your frequency polygon and histogram. 4. Explain the logic behind the equations for the mean and standard deviation for grouped data, starting from the original equations for a simple list of data values. 5. Set up the structure for a statistical test to determine whether the data is normally distributed with the given mean and standard
Dataset 1
Groups
Frequencies
300
to
306
10
306
to
312
16
312
to
318
39
318
to
324
80
324
to
330
330
to
336
37
336
to
342
13
342
to
348
7
Transcribed Image Text:Dataset 1 Groups Frequencies 300 to 306 10 306 to 312 16 312 to 318 39 318 to 324 80 324 to 330 330 to 336 37 336 to 342 13 342 to 348 7
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