# Worksheet: Interquartile Range

In this worksheet, we will practice finding the interquartile range.

**Q5: **

The table shows the number of artifacts found by each member of an expedition during an excavation at a historical site. Find the range and the interquartile range of the data.

Expedition Member | Matthew | Natalie | Chloe | Charlotte | Jacob | Daniel | William |
---|---|---|---|---|---|---|---|

Number of Artifacts | 5 | 4 | 5 | 5 | 6 | 5 | 10 |

- Arange: 10, interquartile range: 1
- Brange: 6, interquartile range: 6
- Crange: 6, interquartile range: 1
- Drange: 10, interquartile range: 6

**Q6: **

Which two sets of data have the same range but different interquartile ranges?

- A26, 14, 21, 26, 23, 23 and 30, 23, 19, 15, 24, 14
- B21, 22, 14, 25, 28, 29 and 28, 24, 19, 17, 15, 17
- C8, 12, 13, 6, 5, 5 and 5, 13, 5, 8, 10, 10
- D8, 10, 9, 11, 9, 11 and 6, 9, 7, 11, 9, 11

**Q7: **

A set of data’s minimum is 1.71, its lower quartile is 2.05, its median is 6.86, its upper quartile is 7.99, and its maximum is 14.16. Determine its interquartile range.

**Q8: **

The Bureau of Labor Statistics published the over-the-month percent change in the price index for imports from April 2,004 to December 2,004. Given that the table shows the published data, calculate the interquartile range.

Month | April | May | June | July | August | September | October | November | December |
---|---|---|---|---|---|---|---|---|---|

Index | 0.9 | 2.0 | 1.2 | 0.4 |

**Q9: **

The table shows some non-English languages spoken by some of the US population. Determine the range and interquartile range of the data.

Language | Greek | Armenian | Bengali | Urdu | Spanish | Hindi | Korean | Hebrew |
---|---|---|---|---|---|---|---|---|

Number of Speakers | 304,900 | 246,900 | 800,000 | 373,800 | 37,580,000 | 648,900 | 1,410,000 | 216,300 |

- Arange , interquartile range
- Brange , interquartile range
- Crange , interquartile range
- Drange , interquartile range
- Erange , interquartile range

**Q10: **

Find the interquartile range of the data.

Score | 16 | 14 | 19 | 36 | 17 | 18 | 39 |
---|---|---|---|---|---|---|---|

Frequency | 2 | 3 | 5 | 3 | 1 | 3 | 5 |

**Q11: **

The given line plot shows the magnitudes of earthquakes that recently took place around the world. Determine the range and interquartile range of the data.

- A ,
- B ,
- C ,
- D ,
- E ,

**Q12: **

Find the interquartile range of the grouped data in the table.

Time Spent Studying | 1–10 | 11–20 | 21–30 | 31–40 | 41–50 |
---|---|---|---|---|---|

Frequency | 15 | 6 | 12 | 12 | 15 |

**Q13: **

Data Set 1 | 25 | 22 | 28 | 51 | 26 | 28 | 29 |
---|---|---|---|---|---|---|---|

Data Set 2 | 21 | 27 | 19 | 26 | 24 | 23 | 28 |

Calculate the interquartile range for each data set.

- Adata set 1: 5, data set 2: 6
- Bdata set 1: 4, data set 2: 6
- Cdata set 1: 4, data set 2: 7
- Ddata set 1: 6, data set 2: 4
- Edata set 1: 5, data set 2: 7

What do the interquartile ranges reveal about the two data sets?

- AThe mode of the two data sets should be the same.
- BThe median of the two data sets should be the same.
- CThe difference between the minimum and maximum values is similar for both data sets.
- DThe mean of the two data sets should be the same.
- EThe spread of the middle of the values is similar for both data sets.

**Q14: **

The table shows the savings of a group of 8 children. Determine the range and interquartile range of the data.

Child | Child 1 | Child 2 | Child 3 | Child 4 | Child 5 | Child 6 | Child 7 | Child 8 |
---|---|---|---|---|---|---|---|---|

Savings in Dollars | 34.00 | 30.10 | 27.00 | 21.90 | 31.00 | 46.30 | 38.20 | 43.80 |

- Arange=$24.40, interquartile range=$41.00
- Brange=$24.40, interquartile range=$12.45
- Crange=$12.45, interquartile range=$24.40
- Drange=$46.30, interquartile range=$41.00
- Erange=$46.30, interquartile range=$12.45

**Q15: **

Shown are the monthly subscription fees (in dollars) for various science magazines. Determine the range and the interquartile range for this data.

18.37 | 17.83 | 20.16 | 18.76 |

24.64 | 20.57 | 23.74 | 18.33 |

15.98 | 23.39 | 20.11 | 17.93 |

- Arange , interquartile range
- Brange , interquartile range
- Crange , interquartile range
- Drange , interquartile range
- Erange , interquartile range

**Q20: **

Which measure is less sensitive to outliers in comparing the spread of the two data sets shown?

Data Set 1 | 25 | 22 | 28 | 51 | 26 | 28 | 29 | 32 |
---|---|---|---|---|---|---|---|---|

Data Set 2 | 21 | 27 | 19 | 26 | 24 | 23 | 28 | 25 |

- Arange
- Binterquartile range

**Q21: **

What is the simplest and easiest dispersion measure?

- ARange
- BVariance
- CInterquartile Range
- DMean Absolute Deviation
- EStandard Deviation