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4th Edition

HEALEY + 1 other

Publisher: Cengage Learning,

ISBN: 9781305093836

Chapter 4, Problem 4.2P

Textbook Problem

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Compute the range and standard deviation of the following 10 test scores.

Expert Solution

To determine

**To find:**

The range and standard deviation of the given scores

The given scores are,

**Formula used:**

The formula to calculate the range is,

Let the data values be

The formula to calculate the mean is,

The formula to calculate the standard deviation is,

Where,

**Calculation:**

Arrange the given data in increasing order.

The data in increasing order is given by,

The highest score is 96 and the lowest score is 45.

The range is given by,

Substitute 96 for high score and 45 for low score in the above mentioned formula,

The size of the population is 10.

The mean is given by,

Substitute 10 for

Consider the following table of sum of squares,

Scores |
||

66 | 38.44 | |

75 | 2.8 | 7.84 |

69 | 10.24 | |

72 | 0.04 | |

84 | 11.8 | 139.24 |

90 | 17.8 | 316.84 |

96 | 23.8 | 566.44 |

70 | 4.84 | |

55 | 295.84 | |

45 | 739.84 | |

Essentials Of Statistics

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