sandy wrote:

Y | Frequency |

\(\frac{1}{2}\) | 2 |

\(\frac{3}{4}\) | 7 |

\(\frac{5}{4}\) | 8 |

\(\frac{3}{2}\) | 8 |

\(\frac{7}{4}\) | 9 |

The table above shows the frequency distribution of the values of a variable Y. What is the mean of the distribution?

Give your answer to the nearest 0.01.Practice Questions

Question: 13

Page: 159

Difficulty: hard

The table tells us that the distribution contains TWO 1/2's, SEVEN 3/4's, EIGHT 5/4's etc

To find mean, we must first find the

sum of all of the values in the distribution.

SUM = (2)(1/2) + (7)(3/4) + (8)(5/4) + (8)(3/2) + (9)(7/4)

= 1 + 21/4 + 10 + 12 + 63/4

= 23 +

21/4 + 63/4= 23 +

84/4= 23 +

21= 44

The NUMBER of values in the distribution = 2 + 7 + 8 + 8 + 9

= 34

So, the mean = 44/34 = 1.294....

Answer: 1.29

Cheers,

Brent

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Brent Hanneson – Creator of greenlighttestprep.com

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