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Where,

µ= Mean population

N= Number of values

Step 1:-At first we will find the population mean µ of the given data.

µ=∑x / N

=(5+9+16+17+18)/ 5 Since there are five values in the data.

So N= 5

=65/5

=13

Step 2:- Find the deviation from the mean.

Number (x) | Deviations from the Mean (x- µ) | Absolute deviation lx-µl |

5 | 5-13=-8 | 8 |

9 | 9-13=-4 | 4 |

16 | 16-13=+3 | 3 |

17 | 17-13=+4 | 4 |

18 | 18-13=+5 | 5 |

∑x =65 | ∑(x- µ)=0 | ∑ lx-µl = 24 |

Hence

=24/ 5

=4.8

89, 57, 104, 73, 26, 121, and 81.

Calculate the mean absolute deviation.

µ=∑x / N

=551/ 7

=78.71

And

=160.29/ 7

=