Question

The following is a set of data from a sample of n equals 5 n=5. 10,2,1,6,3 a. Compute the mean, median, and mode. b. Compute the range, variance, standard deviation, and coefficient of variation. c. Compute the Z scores. Are there any outliers? d. Describe the shape of the data set.

Answer #1

a)

mean =4.4

median =middle value in ascending order =3

model =none of the above (as each value appear exactly once)

b)range =max-min =10-1 =9

varaince =s^2 =13.30

standard deviation =s =3.6469

coefficient of variation =(s/x)*100 =(3.6469/4.4)*100 =82.88 %

c)

below are the z scores:

X | z score=(x-mean)/s |

10 | 1.72 |

2 | -0.74 |

1 | -1.04 |

6 | 0.49 |

3 | -0.43 |

d)

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