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Topic: Business
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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