In Exercises, find the range, variance, and standard deviation for the given samph data. Include appropriate units (such as “minutes”) in your results. (The same data were used in Section 3-2 where we found measures of center. Here we find measures of variation.) Then answer the given questions.

Mercury in Sushi Listed below are the amounts of mercury (in parts per million, or ppm) found in tuna sushi sampled at different stores in New York City. The study was sponsored by the New York Times, and the stores (in order) are D’Agostino, Eli’s Manhattan, Fairway, Food Emporium, Gourmet Garage, Grace’s Marketplace, and Whole Foods. What would be the values of the measures of variation if the tuna sushi contained no mercury?

Answer

City |
Tuna sushi sampled |
(x-) |

D’Agostino |
0.56 |
0.025281 |

Eli’s Manhattan |
0.75 |
0.000961 |

Fairway |
0.1 |
0.383161 |

Food Emporium |
0.95 |
0.053361 |

Gourmet Garage |
1.25 |
0.281961 |

Grace’s Marketplace |
0.54 |
0.032041 |

Whole Foods |
0.88 |
0.025921 |

Total |
5.03 |
0.802687 |

Step 1 of 3</p>

Range=Largest value-Smallest value

=

=1.15

Step 2 of 3</p>

=

=

=0.719

Variance=

=

=0.115