Chapter Test: Statistics

The data below shows the IQ of 11 Maths and 11 Geography university graduates.

MATHS:  98, 103, 105, 99, 110, 94, 98, 100, 120, 117, 113

GEOGRAPHY:  93, 99, 110, 111, 95, 97, 90, 99, 92, 102, 103

1)      Calculate the Lower and Upper Quartiles, Median, and Interquartile Range for each subject.
2)      Use your data to draw box plots for each subject.

3)      On average, compare the IQs of the graduates.

The percentage achieved by boys and girls on a Science test are shown below.

BOYS:  28, 35, 44, 48, 49, 58, 67, 69, 70, 73, 77, 77, 80

GIRLS:  39, 44, 45, 49, 60, 61, 63, 66, 67, 70, 72, 72, 75, 77, 79

Draw box plots for the boy’s and girls’ results on the same number line.

One day an art gallery monitored the time spent by visitors at five exhibitions.
The visitor times are shown in the box-and-whisker plots.
Work out the interquartile range of times spent at each exhibition.

• Impressionism 15 minutes
  Pop Art 14 minutes

  Surrealism 17 minutes

  Abstract 8 minutes

  Cubism 8 minutes

• Impressionism 15 minutes
  Pop Art 15 minutes

  Surrealism 18 minutes

  Abstract 8 minutes

  Cubism 8 minutes

• Impressionism 15 minutes
  Pop Art 15 minutes

  Surrealism 17 minutes

  Abstract 8 minutes

  Cubism 8 minutes

• Impressionism 15 minutes
  Pop Art 15 minutes

  Surrealism 17 minutes

  Abstract 8 minutes

  Cubism 9 minutes

Teacher Aiden Kurt did a survey of how long it took students to do Math homework.
Information about the time taken is given in this stem-and-leaf diagram.

Work out the median time.

• 31 minutes

• 30 minutes

• 45 minutes

• 37.5 minutes

Teacher Aiden Kurt did a survey of how long it took students to do Math homework.
Information about the time taken is given in this stem-and-leaf diagram.

Work out the range.

• 40 minutes

• 30 minutes

• 45 minutes

• 35 minutes