3. a) Consider the dataset below: • Calculate the mean for this dataset • Calculate the standard deviation

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3.
a) Consider the dataset below:
. Calculate the mean for this dataset
Calculate the standard deviation
b) If we add 3 to each datapoint from part a, we get the following dataset:
45 68 8
Calculate the mean for this dataset
. Calculate the standard deviation
1 2 3 5 5
c) If we multiply each datapoint from part a by 2, we get the following dataset:
2 4 6 10 10
• Calculate the mean for this dataset
• Calculate the standard deviation
Transcribed Image Text:3. a) Consider the dataset below: . Calculate the mean for this dataset Calculate the standard deviation b) If we add 3 to each datapoint from part a, we get the following dataset: 45 68 8 Calculate the mean for this dataset . Calculate the standard deviation 1 2 3 5 5 c) If we multiply each datapoint from part a by 2, we get the following dataset: 2 4 6 10 10 • Calculate the mean for this dataset • Calculate the standard deviation
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Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
e) Compare part a to part b:
i. What happens to the mean when the dataset is shifted by 3?
ii. What happens to the standard deviation? Why?
f) Compare part a to part c:
i. What happens to the mean when the dataset is multiplied by 2?
ii. What happens to the standard deviation? Why?
Transcribed Image Text:e) Compare part a to part b: i. What happens to the mean when the dataset is shifted by 3? ii. What happens to the standard deviation? Why? f) Compare part a to part c: i. What happens to the mean when the dataset is multiplied by 2? ii. What happens to the standard deviation? Why?
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Follow-up Question
d) Sketch relative frequency histograms for each dataset below (these are discrete datasets; your bars
should not touch). Mark the mean for the dataset on the x-axis.
a)
relative frequency
b)
relative frequency
이
relative frequency
0.6
0.4
0.2
O
0.6
0.4
0.2
0
0.6
0.4
0.2
O
+
0
+
+
0 1
+
+
1
0
+
1
+
2
+
2
2
3
3
3
+
5
observations
4
4
+ +
+
4
CO
6
+
6
5
observations
+
5
observations
+
6
7 8
+
7
7
+
8
9 10
9
10
8 9 10
Transcribed Image Text:d) Sketch relative frequency histograms for each dataset below (these are discrete datasets; your bars should not touch). Mark the mean for the dataset on the x-axis. a) relative frequency b) relative frequency 이 relative frequency 0.6 0.4 0.2 O 0.6 0.4 0.2 0 0.6 0.4 0.2 O + 0 + + 0 1 + + 1 0 + 1 + 2 + 2 2 3 3 3 + 5 observations 4 4 + + + 4 CO 6 + 6 5 observations + 5 observations + 6 7 8 + 7 7 + 8 9 10 9 10 8 9 10
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