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StatisticsEssentials Of StatisticsSOC A sample of 25 freshmen at a major university completed a survey that measured their degree of racial prejudice (the higher the score, the greater the prejudice). a. Compute the median and mean scores for these data. 10 43 30 30 45 40 12 40 42 35 45 25 10 33 50 42 32 38 11 47 22 26 37 38 10 b. These same 25 students completed the same survey during their senior year. Compute the median and mean for this second set of scores, and compare them to the earlier set. What happened? 10 45 35 27 50 35 10 50 40 30 40 10 10 37 10 40 15 30 20 43 23 25 30 40 10BuyFind*arrow_forward*

4th Edition

HEALEY + 1 other

Publisher: Cengage Learning,

ISBN: 9781305093836

Chapter 3, Problem 3.13P

Textbook Problem

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** SOC** A sample of 25 freshmen at a major university completed a survey that measured their degree of racial prejudice (the higher the score, the greater the prejudice).

a. Compute the median and mean scores for these data.

10 | 43 | 30 | 30 | 45 |

40 | 12 | 40 | 42 | 35 |

45 | 25 | 10 | 33 | 50 |

42 | 32 | 38 | 11 | 47 |

22 | 26 | 37 | 38 | 10 |

b. These same 25 students completed the same survey during their senior year. Compute the median and mean for this second set of scores, and compare them to the earlier set. What happened?

10 | 45 | 35 | 27 | 50 |

35 | 10 | 50 | 40 | 30 |

40 | 10 | 10 | 37 | 10 |

40 | 15 | 30 | 20 | 43 |

23 | 25 | 30 | 40 | 10 |

Expert Solution

To determine

**a.**

**To Compute:**

The mean and median of the scores

The given scores are::

10 | 43 | 30 | 30 | 45 |

40 | 12 | 40 | 42 | 35 |

45 | 25 | 10 | 33 | 50 |

42 | 32 | 38 | 11 | 47 |

22 | 26 | 37 | 38 | 10 |

**Formula used:**

Let the data values be

The formula to calculate median for odd number of terms is given by,

The formula to calculate mean is given by,

**Calculation:**

Arrange the data in the increasing order.

The data in increasing order is given by,

10 | 10 | 10 | 11 | 12 |

22 | 25 | 26 | 30 | 30 |

32 | 33 | 35 | 37 | 38 |

38 | 40 | 40 | 42 | 42 |

43 | 45 | 45 | 47 | 50 |

The number of terms is 25, which is odd.

The median for the odd number of terms is given by,

Substitute 25 for number of terms in the above mentioned formula,

Expert Solution

To determine

**b.**

**To Compute:**

The mean and median of the scores during their senior year.

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