In this worksheet, we will practice determining the range and mean of given statistical data.

**Q1: **

Find the mean of the values . Give your answer to three decimal places.

**Q3: **

The table shows the marks that four students received in their end of year exams. Calculate the mean mark for mathematics.

Student | Mathematics | Chemistry | Physics | Biology | History |
---|---|---|---|---|---|

(A) | 12 | 5 | 15 | 14 | 8 |

(B) | 12 | 11 | 14 | 8 | 10 |

(C) | 13 | 10 | 9 | 12 | 7 |

(D) | 11 | 10 | 14 | 6 | 15 |

**Q5: **

Given the values 68, 11, 59, and 92, determine the range of this data.

**Q6: **

The table shows the average temperature of each day in November. What is the range of the data?

27β | 28β | 24β | 25β | 24β | 25β | 23β | 26β | 20β | 23β |

24β | 20β | 27β | 26β | 19β | 22β | 26β | 23β | 26β | 25β |

24β | 27β | 24β | 26β | 27β | 27β | 23β | 24β | 22β | 24β |

**Q7: **

Given that the values of a set of data are between 2 and 81, find the range of the data.

**Q8: **

Given the range of a set of data is 86 and the lowest value is 53, determine the highest value in the set.

**Q9: **

If the maximum value in a set is 70 and the range of the set of data is 46, then find the minimum value in the set.

**Q10: **

Given that the sum of five values is 165, find the mean of the values.

**Q11: **

The frequency table shows the distribution of marks that 50 students attained in an exam. Find the mean mark.

Mark | 10β | 20β | 30β | 40β | 50β | Total |
---|---|---|---|---|---|---|

Frequency | 9 | 8 | 11 | 13 | 9 | 50 |

**Q12: **

The frequency table shows the distribution of daily wages of 50 workers in a factory. Find the mean wage received.

Wages | 25β34 | 35β44 | 45β54 | 55β64 | 65β | Total |
---|---|---|---|---|---|---|

Frequency | 7 | 9 | 15 | 10 | 9 | 50 |

**Q13: **

Amiraβs average score in a game is 196 for 20 rounds. If she dropped her lowest score of 135, determine which of the following equations can be used to find her new average score .

- A
- B
- C
- D
- E