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Sagot :
Using statistical concepts, we have that:
- a. The range is 6 days, and the interpretation is: B. The number of days separating the fewest and most sick days taken is equal to the range.
- b. The standard deviation is of 2.2, which means that the average spread about the mean is of 2.2 units.
Range and standard deviation:
- The range of a data-set is given by the difference between the highest value and the lowest value in the data-set.
- The standard deviation of a data-set is given by the square root of the sum of the difference squared of each observation and the mean, divided by the number of observations.
Item a:
- The lowest value is of 0.
- The highest value is of 6.
Hence:
The range is 6 days, and the interpretation is: B. The number of days separating the fewest and most sick days taken is equal to the range.
Item b:
The mean is:
[tex]M = \frac{0 + 1 + 4 + 0 + 0 + 6 + 3}{7} = 2[/tex]
Hence, the standard deviation is:
[tex]S = \sqrt{\frac{(0-2)^2+(1-2)^2+(4-2)^2+(0-2)^2+(0-2)^2+(6-2)^2+(3-2)^2}{7}} = 2.2[/tex]
The standard deviation is of 2.2, which means that the average spread about the mean is of 2.2 units.
You can learn more about range and standard deviation at https://brainly.com/question/11729451
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