Question

Suppose you are the Umoja Community Program Coordinator at West College. You are interested in the effectiveness of "learning communities" as it pertains to Umoja scholars and their overall grade point average (GPA). Knowing that supplemental instruction tends to be associated with higher academic success, you believe that the more learning communities an Umoja student attends, the higher their overall GPA will be. To test this, you count how many weekly learning communities an Umoja student attends over the duration of a 18 week academic semester.

The following data represents the number of learning communities attended for a random sample of 24 Umoja students at West College.

Umoja Student |
# of Learning Communities |

1 | 3 |

2 | 11 |

3 | 11 |

4 | 3 |

5 | 15 |

6 | 17 |

7 | 5 |

8 | 14 |

9 | 16 |

10 | 15 |

11 | 16 |

12 | 12 |

13 | 11 |

14 | 14 |

15 | 14 |

16 | 12 |

17 | 14 |

18 | 16 |

19 | 6 |

20 | 15 |

21 | 11 |

22 | 7 |

23 | 11 |

24 | 13 |

**Use this information to calculate the sample mean,
deviation scores, variance, and standard deviation.**

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Question 1

What is the sample mean? (round to the thousandths if necessary)

Question 2

What is the deviation score for Umoja Student #5? (round to the thousandths if necessary)

Question 3

What is the standard deviation? (round to the thousandths if necessary)

Answer #1

Suppose an Umoja Program Coordinator at another college follows
your lead and decides to collect the same type of data on their
campus. The following data represents the number of learning
communities attended for a random sample of 20 Umoja students at
East College.
8
9
13
4
7
5
1
14
9
13
6
16
6
16
18
3
5
10
2
14
Use this information to answer questions #4 through
#5.
Question 4
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