**Q1: **

Calculate the standard deviation of the values 45, 35, 42, 49, 39, and 34. Give your answer to 3 decimal places.

**Q2: **

Calculate the standard deviation of the values 46, 43, 36, 39, 31, and 38. Give your answer to 3 decimal places.

**Q3: **

Calculate the standard deviation of the values 32, 50, 44, 46, 40, and 33. Give your answer to 3 decimal places.

**Q4: **

Calculate the standard deviation of the values 41, 38, 48, 37, 40, and 40. Give your answer to 3 decimal places.

**Q5: **

Calculate the standard deviation of the values 31, 43, 37, 30, 47, and 49. Give your answer to 3 decimal places.

**Q6: **

The table shows the distribution of goals scored in the first half of a football season.

Number of Goals | 1 | 2 | 4 | 5 | 6 |
---|---|---|---|---|---|

Number of Matches | 1 | 9 | 7 | 5 | 8 |

Find the standard deviation of the number of goals scored. If necessary, give your answer to three decimal places.

**Q7: **

The table shows the distribution of goals scored in the first half of a football season.

Number of Goals | 0 | 1 | 3 | 4 | 5 |
---|---|---|---|---|---|

Number of Matches | 2 | 5 | 9 | 6 | 5 |

Find the standard deviation of the number of goals scored. If necessary, give your answer to three decimal places.

**Q8: **

The table shows the distribution of goals scored in the first half of a football season.

Number of Goals | 1 | 3 | 4 | 5 | 6 |
---|---|---|---|---|---|

Number of Matches | 5 | 4 | 4 | 3 | 8 |

Find the standard deviation of the number of goals scored. If necessary, give your answer to three decimal places.

**Q9: **

The table shows the distribution of goals scored in the first half of a football season.

Number of Goals | 0 | 3 | 4 | 5 | 6 |
---|---|---|---|---|---|

Number of Matches | 8 | 6 | 4 | 4 | 4 |

**Q10: **

The table shows the distribution of goals scored in the first half of a football season.

Number of Goals | 0 | 1 | 4 | 5 | 6 |
---|---|---|---|---|---|

Number of Matches | 5 | 9 | 3 | 9 | 4 |

**Q11: **

Without calculating exact standard deviation values, determine which of the following data sets has the highest standard deviation.

- A18, 31, 32, 55, 55, 55
- B10, 20, 30, 40, 50, 50
- C900, 1 800,2 700,3 600,4 500,5 400
- D144, 144, 144, 144, 144, 145
- E75, 75, 75, 75, 75, 75

**Q12: **

Determine (without calculating the standard deviation exactly) which of the following data sets has the lowest standard deviation.

- A0, 18, 37, 49, 49, 49
- B10, 20, 30, 40, 50, 60
- C149, 149, 149, 149, 149, 150
- D100, 200, 300, 400, 500, 600
- E50, 50, 50, 50, 50, 1 000

**Q13: **

The set of data 47, 51, 47, 51, 47, 51, 47, 51, 47, 51 has a mean of 49. Use this to decide (without calculating the exact answer) which of the following is closest to the standard deviation of the data.

- A5
- B2
- C10
- D1

**Q14: **

The table shows the heights of some basketball players in centimeters. Calculate, to three decimal places, the standard deviation of the heights.

180 | 181 | 183 | 185 | 179 |

184 | 175 | 188 | 183 | 184 |

**Q15: **

In the table, Sample 1 is the actual weight, in ounces, of the content of cans of pet food labeled as having a net weight of 8 ounces. Sample 2 gives the actual weight, in pounds, of the content of the bags of dry pet food labeled as having a net weight of 50 pounds.

Sample 1 | 8.3 | 7 | 8.9 | 7.6 | 8.2 | 7.2 | 8 | 8.4 |
---|---|---|---|---|---|---|---|---|

Sample 2 | 48.7 | 52 | 45.7 | 47.2 | 51.4 | 48.3 | 46.9 | 45.4 |

For each sample, calculate the mean and the standard deviation . Round your answers to the nearest hundredth if necessary.

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