Table One | ||
---|---|---|

Name | Country | Time (s) |

WISIL Toea | Papua NG | 11.6 |

COLLEY Saruba | Gambia | 12.21 |

PRETELLI Martina | San Marino | 12.41 |

LOPES Lidiane | Cape Verde | 12.72 |

GEZAH Hala | Libya | 13.24 |

RIJAL Pramila | Nepal | 13.33 |

ALATOA Janice | Vanuatu | 13.6 |

WENDOLIN Mihter | FSM | 13.67 |

KOHISTANI Tahmina | Afghanistan | 14.42 |

For this section of the midterm, use the time data (third column) in seconds from the London 2012 Olympics Preliminary Heat 4 Women's 100mheld on Friday, 03 August 2012 10:40.

- ____________________ Determine the level of measurement for the data.
- __________ Calculate the sample size n.
- __________ Calculate the minimum.
- __________ Calculate the maximum.
- __________ Calculate the range.
- __________ Calculate the midrange.
- __________ Calculate the mode.
- __________ Calculate the median.
- __________ Calculate the mean.
- __________ Calculate the sample standard deviation.
- __________ Shelly-Ann Fraser-Pryce won the gold medal in the 100 meters with a time of 10.75 seconds. Use the mean and standard deviation above to calculate the z-score for 10.75 seconds.
- __________ Calculate the sample coeficient of variation.
- __________ Calculate the first quartile.
- __________ Calculate the third quartile.
- __________ Calculate the Inter-Quartile Range.
- Make a sketch of the box plot for this time data.
- __________ If the time data is divided into
**three**classes, what is the width of a single class? -
Determine the frequency and calculate the relative frequency for the data using three classes.
Record your results in the table provided.

Class upper limits Frequency F Rel. Freq. **Sums:** - Sketch a
**frequency**histogram for the time data, labeling your horizontal axis and vertical axis as appropriate. - __________ What is the shape of the histogram?
- __________ Based on the data above, what is the probability of a time of less than 12.54 seconds?

Distance (m) Split (s) 0 0 400 75 800 144 1500 250 - _________ Calculate the sample size n (the number of data pairs).
- ______________ Calculate the slope of the linear regression for the data. For this data, keep at least THREE non-zero digits in your slope answer!
- ______________ Calculate the y-intercept of the linear regression for the data.
- ______________ Is the relation positive, negative, or neutral?
- ______________ Calculate the correlation coefficient r for the data.
- ______________ Is the correlation none, weak/low, moderate, strong/high, or perfect?
- ______________ Determine the coefficient of determination.
- ______________ Use the slope and intercept to predict the split time at 1200 meters.
- ______________ Use the slope and intercept to predict the distance which the women would cover in the 143 seconds Dana takes to run a lap of the track.