## Answers

Answers :

(8)

(3) median = 16.5 & mode=18

Explanation as below Table-1

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(9)

(2) 0.194

Explanation as per Table-1 below and Z -score calculations as below:

Given value X= | 16.5 |

Mean= | 14.9 |

SD= | 8.2657 |

Z= | (X - Mean ) / SD |

Z= | (16.5-14.9)/8.2657 |

Z= | 0.194 |

###############

(10)

(3) lower quartile = 8.25 ; upper quartile = 18.5

Explanation as per below Table-1

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Note : Since no methodology was mentioned in the question, Excel was used.

Please consider this while giving your feedback.

Table-1 : Excel Output

Formulae in Excel as below:

## End of answers

Page Layout Bs File Home Insert & Cut En Copy Paste Format Painter Clipboard Calibri BI U Font B2 A B 1 Data 2 4 6 3 4 9 9 5 6 7 15 18 8 18 18 o O 20 32 14.9 8.2657 10 11 12 13 Mean 14 Standard Deviation (SD) 15 16 Median 17 Mode 18 19 Lower Quartile 20 Upper Quartile 21 16.5 18 8.25 18.5

<I Page Layout Formulas Da OS File Home Insert * Cut E Copy Paste Format Painter Clipboard 11 Å Calibri BIU A Font C8 А B 1 Data 2 4 3 6 4 9 5 9 6 15 7 18 8 18 9 18 10 20 11 32 12 13 Mean =AVERAGE(B2:311) 14 Standard Deviation (SD) ESTDEV.S(B2:311) 15 16 Median =MEDIAN(B2:311) 17 Mode =MODE.SNGL(B2:311) 18 19 Lower Quartile =QUARTILE.EXC(B2:B11,1) 20 Upper Quartile =QUARTILE.EXC(B2:B11,3) 21

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