Basic Statistics: Employees' **Salary & Experience**
Variables

N | Mean | Median | Mode | Std. Deviation | Variance | Skewness | Sum | |||
---|---|---|---|---|---|---|---|---|---|---|

Valid | Missing |
|||||||||

Statistic | Statistic | Statistic | Statistic | Statistic | Statistic | Statistic | Statistic | Std. Error | Statistic | |

Salary of Employees | 5 | 0 | $39,540.00 | $36,000.00 | $29,500(a) | $11,460.06 | $131,333,000.00 | 1.355 | .913 | $197,700 |

a Multiple modes exist. The smallest value is shown |

**b**. **Note the following:**

**1**. Earlier when we examined the histogram with the normal, it was
concluded then that the underlying distribution is somewhat skewed to the right. The basic
statistics or numerical summary measure validate that conclusion. Notice that the
relationship among the **three measures of the average or central tendency**
is such that the mean > median > mode, and the **skewness**
coefficient has a value of 1.355 with a standard error of .913.

**2**. As noted in the footnote the inherent distribution has multiple
modes, apparently due to the fact that there are two employees that earn between $25,000
and $35,000 in the first class interval and between $35,000 and $45,000 in the second
class interval, thereby making it difficult to determine a unique modal value. SPSS/win
resolves this situation by reporting the minimum value.

N | Mean | Median | Mode | Std. Deviation | Variance | Skewness | Kurtosis | Range | Minimum | Maximum | ||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|

Valid | Missing |
|||||||||||||

Statistic | Statistic | Statistic | Statistic | Statistic | Statistic | Statistic | Statistic | Std. Error | Statistic | Std. Error | Statistic | Statistic | Statistic | |

Years of Experience | 5 | 0 | 7.40 | 7.00 | 2^{a} |
5.03 | 25.30 | .806 | .913 | .449 | 2.000 | 13 | 2 | 15 |

a Multiple modes exist. The smallest value is shown |

Frequency | Percent | Valid Percent | Cumulative Percent | ||
---|---|---|---|---|---|

Valid | 2 | 1 | 20.0 | 20.0 | 20.0 |

4 | 1 | 20.0 | 20.0 | 40.0 | |

7 | 1 | 20.0 | 20.0 | 60.0 | |

9 | 1 | 20.0 | 20.0 | 80.0 | |

15 | 1 | 20.0 | 20.0 | 100.0 | |

Total | 5 | 100.0 | 100.0 | ||

Total | 5 | 100.0 |

**Note the following**:

**1**. Measures of Central Tendency: On average a typical employee has 7.40
years of experience using the arithmetic **mean**;
however, the **median** suggests exactly 7
years while the modal value is not unique due to the existence of multiple **modes** in the data (as pointed out by the
program in footnote 'a') because the values are non-repetitive. Hence, each value is
potentially a candidate for the mode in this case.

**2**. Distribution: The **skewness**
coefficient of .806 implies that the experience of the employees is somewhat skewed to the
right. The Kurtosis coefficient of .449 indicates that the distribution is somewhat flat
at the mode if a unique one were possible.

**3**. Frequency Table: In the table each employee belongs in a distinct category on
the basis of experience; which is equivalent to 20% of the sample size of five employees.

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**Copyright© 1996, Ebenge Usip, all rights reserved.
Last revised: Thursday, July 11, 2013.**