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| Topic: |
Business
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| Number of pages / Number of words: |
7 / 1835 |
Essay's paper body
A single outlier can raise the standard deviation and in turn, distort the picture of spread.
- For data with approximately the same mean, the greater the spread, the greater the standard deviation.
- If all values of a data set are the same, the standard deviation is zero (because each value is equal to the mean)...
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Each egg was weighed and recorded as follows:
60 g, 56 g, 6l g, 68 g, 51 g, 53 g, 69 g, 54 g.
a) First, calculate the mean:
[pic]
Now, find the standard deviation.
|Table 1. Weight of eggs, in grams |
|Weight (x) |(x - [pic]) |(x - [pic])2 |
|60 |1 |1 |
|56 |-3 |9 |
|61 |2 |4 |
|68 |9 |81 |
|51 |-8 |64 |
|53 |-6 |36 |
|69 |10 |100 |
|54 |-5 |25 |
|472 | |320 |
Using the information from the above table, we can see that
[pic]
In order to calculate the standard deviation, we must use the following formula:
[pic]
Frequency table (discrete variables)
The formulas for variance and standard deviation change slightly if observations are grouped into a frequency table...
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