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Concept explainers
a.
Identify whether the SD is around 1, 2, or 10 for the given list.
a.
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Answer to Problem 4ED
The SD is around 1.
Explanation of Solution
Calculation:
The average of the given list is 50.
The difference between the given observations and the average is,
Here, all deviations from the average is
Therefore, the SD is around 1.
b.
Identify whether the SD is around 1, 2, or 10 for the given list.
b.

Answer to Problem 4ED
The SD is around 2.
Explanation of Solution
Calculation:
The average of the given list is 50.
The difference between the given observations and the average is,
Here, all deviations from the average is
Therefore, the SD is around 2.
c.
Identify whether the SD is around 1, 2, or 10 for the given list.
c.

Answer to Problem 4ED
The SD is around 2.
Explanation of Solution
Calculation:
The average of the given list is 50.
Condition:
- If the spread of the numbers around the average is larger, then the value of SD is larger.
- If the spread of the numbers around the average is smaller, then the value of SD is smaller.
The difference between the given observations and the average is,
Here, the given data set has less spread. Hence, the SD is around 2.
d.
Identify whether the SD is around 1, 2, or 10 for the given list.
d.

Answer to Problem 4ED
The SD is around 2.
Explanation of Solution
Calculation:
The average of the given list is 50.
The difference between the given observations and the average is,
Here, the given data set has less spread. Hence, the SD is around 2.
e.
Identify whether the SD is around 1, 2, or 10 for the given list.
e.

Answer to Problem 4ED
The SD is around 10.
Explanation of Solution
Calculation:
The average of the given list is 50.
The difference between the given observations and the average is,
Here, the spread of the numbers around the average is larger. This provide the largest SD.
Therefore, the SD is around 10.
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Chapter 4 Solutions
Statistics
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