Question

Find the mean, median, range, variance and standard deviation of the data set below. The data represent the fixed monthly costs for Sam's Linen Service.

Monthly charges |
Monthly cost ($) |

Bank charges |
482 |

Cleaning |
2208 |

Food |
1750 |

Computer expenses |
2471 |

Lease payments |
2656 |

Grounds fees |
1475 |

Postage |
2117 |

Uniforms |
2600 |

Delivery fuel |
955 |

Answer #1

Following table shows the ordered data set and calculations for variance:

S.NO. | Monthly cost ($), X | (X-mean)^2 |

1 | 482 | 1890927.512 |

2 | 955 | 813802.4521 |

3 | 1475 | 146008.0521 |

4 | 1750 | 11472.5521 |

5 | 2117 | 67542.8121 |

6 | 2208 | 123123.7921 |

7 | 2471 | 376860.9321 |

8 | 2600 | 551885.5521 |

9 | 2656 | 638225.2321 |

Total | 16714 | 4619848.889 |

Sample size: n =9

**Median:** It is middle value of ordered data set.
That is median will be 5th data value. So median is 2117.

**Range:**

Maximum - Minimum = 2656 - 482 = 2174

**Mean:**

**Variance:**

**The standard deviation is:**

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