## Exam-Style Questions on Box Plots## Problems on Box Plots adapted from questions set in previous exams. |

## 1. | GCSE Higher |

The box plot shows information about the distribution of the times (in minutes) groups of customers spend in a open-air restaurant.

(a) Calculate the interquartile range for the amount of time groups spend in this open-air restaurant.

The table below shows information about the distribution of the times (in minutes) groups of customers spend in an indoor restaurant.

Minimum | Lower Quartile | Median | Upper quartile | Maximum | |

Time in minutes | 30 | 45 | 62 | 82 | 94 |

(b) On the lower half of the grid above, draw a box plot for the information in the table.

(c) Hunter thinks that the total amount of time spend by all of the customers visiting the indoor restaurant is greater than the total amount of time spend by all of the customers visiting the open-air restaurant. Is Hunter correct? Explain your decision.

## 2. | GCSE Higher |

One day a theme park monitored the time spent by guests at six different areas of the park. The times are recorded in the box plots below.

(a) Work out the range in times at Future Zone.

(b) At which area were visitor times the most consistent? Give a reason for your answer.

(c) Give one similarity and one difference between the distributions of the guest visiting times for Nature Park and Fantasy Land.

(d) Is it possible to work out from the box plots which area had the most visitors? Explain your answer.

## 3. | IB Studies |

The distribution of daily average wind speed on an island over a period of 120 days is displayed on this box-and-whisker diagram.

(a) Write down the median wind speed.

(b) Write down the minimum wind speed.

(c) Find the interquartile range.

(d) Write down the number of days the wind speed was between 20 kmh^{-1} and 51 kmh^{-1}.

(e) Write down the number of days the wind speed was between 9 kmh^{-1} and 68 kmh^{-1}.

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