Questions 1-8 use the same data.

The following integers were obtained as the number of visits to a gift shop, per hour, over several days.

Find the mean of the above data, to 2 decimal places. Exactly one option must be correct)

The following integers were obtained as the number of visits to a gift shop, per hour, over several days.

0, | 2, | 3, | 1, | 2, | 4, | 5, | 2, | 3, | 4, |

2, | 3, | 3, | 5, | 6, | 2, | 1, | 4, | 1, | 4, |

3, | 1, | 6, | 2, | 1, | 4, | 5, | 2, | 3, | 3, |

1, | 2. |

Find the mean of the above data, to 2 decimal places. Exactly one option must be correct)

*Choice (a) is incorrect*

*Choice (b) is incorrect*

*Choice (c) is correct!*

*Choice (d) is incorrect*

Questions 1-8 use the same data.

The following integers were obtained as the number of visits to a gift shop, per hour, over several days.

Find the median of the above data. Exactly one option must be correct)

The following integers were obtained as the number of visits to a gift shop, per hour, over several days.

0, | 2, | 3, | 1, | 2, | 4, | 5, | 2, | 3, | 4, |

2, | 3, | 3, | 5, | 6, | 2, | 1, | 4, | 1, | 4, |

3, | 1, | 6, | 2, | 1, | 4, | 5, | 2, | 3, | 3, |

1, | 2. |

Find the median of the above data. Exactly one option must be correct)

*Choice (a) is correct!*

Since $n=32$,
the median is the average of the 16th and 17th entries which is 3.

*Choice (b) is incorrect*

*Choice (c) is incorrect*

*Choice (d) is incorrect*

Questions 1-8 use the same data.

The following integers were obtained as the number of visits to a gift shop, per hour, over several days.

Find the upper quartile of the above data. Exactly one option must be correct)

The following integers were obtained as the number of visits to a gift shop, per hour, over several days.

0, | 2, | 3, | 1, | 2, | 4, | 5, | 2, | 3, | 4, |

2, | 3, | 3, | 5, | 6, | 2, | 1, | 4, | 1, | 4, |

3, | 1, | 6, | 2, | 1, | 4, | 5, | 2, | 3, | 3, |

1, | 2. |

Find the upper quartile of the above data. Exactly one option must be correct)

*Choice (a) is incorrect*

*Choice (b) is incorrect*

*Choice (c) is correct!*

Since $n=32$,
the upper quartile is the average of the 24th and 25th entries, which is 4.

*Choice (d) is incorrect*

Questions 1-8 use the same data.

The following integers were obtained as the number of visits to a gift shop, per hour, over several days.

Find the lower quartile of the above data. Exactly one option must be correct)

The following integers were obtained as the number of visits to a gift shop, per hour, over several days.

0, | 2, | 3, | 1, | 2, | 4, | 5, | 2, | 3, | 4, |

2, | 3, | 3, | 5, | 6, | 2, | 1, | 4, | 1, | 4, |

3, | 1, | 6, | 2, | 1, | 4, | 5, | 2, | 3, | 3, |

1, | 2. |

Find the lower quartile of the above data. Exactly one option must be correct)

*Choice (a) is correct!*

Since $n=32$,
the lower quartile is the average of the 8th and 9th entries which is 2.

*Choice (b) is incorrect*

*Choice (c) is incorrect*

*Choice (d) is incorrect*

Questions 1-8 use the same data.

The following integers were obtained as the number of visits to a gift shop, per hour, over several days.

Find the interquartile range. Exactly one option must be correct)

The following integers were obtained as the number of visits to a gift shop, per hour, over several days.

0, | 2, | 3, | 1, | 2, | 4, | 5, | 2, | 3, | 4, |

2, | 3, | 3, | 5, | 6, | 2, | 1, | 4, | 1, | 4, |

3, | 1, | 6, | 2, | 1, | 4, | 5, | 2, | 3, | 3, |

1, | 2. |

Find the interquartile range. Exactly one option must be correct)

*Choice (a) is incorrect*

*Choice (b) is correct!*

$IQR\phantom{\rule{1em}{0ex}}=UQ\phantom{\rule{1em}{0ex}}-LQ\phantom{\rule{1em}{0ex}}=4-2=2$.

*Choice (c) is incorrect*

*Choice (d) is incorrect*

Questions 1-8 use the same data.

The following integers were obtained as the number of visits to a gift shop, per hour, over several days.

Find the upper threshold for the above data. Exactly one option must be correct)

The following integers were obtained as the number of visits to a gift shop, per hour, over several days.

0, | 2, | 3, | 1, | 2, | 4, | 5, | 2, | 3, | 4, |

2, | 3, | 3, | 5, | 6, | 2, | 1, | 4, | 1, | 4, |

3, | 1, | 6, | 2, | 1, | 4, | 5, | 2, | 3, | 3, |

1, | 2. |

Find the upper threshold for the above data. Exactly one option must be correct)

*Choice (a) is correct!*

$UT\phantom{\rule{1em}{0ex}}=UQ\phantom{\rule{1em}{0ex}}+1.5\ast IQR\phantom{\rule{1em}{0ex}}=4+1.5\ast 2=7$.

*Choice (b) is incorrect*

*Choice (c) is incorrect*

*Choice (d) is incorrect*

Questions 1-8 use the same data.

The following integers were obtained as the number of visits to a gift shop, per hour, over several days.

Find the lower threshold for the above data. Exactly one option must be correct)

The following integers were obtained as the number of visits to a gift shop, per hour, over several days.

0, | 2, | 3, | 1, | 2, | 4, | 5, | 2, | 3, | 4, |

2, | 3, | 3, | 5, | 6, | 2, | 1, | 4, | 1, | 4, |

3, | 1, | 6, | 2, | 1, | 4, | 5, | 2, | 3, | 3, |

1, | 2. |

Find the lower threshold for the above data. Exactly one option must be correct)

*Choice (a) is incorrect*

*Choice (b) is incorrect*

*Choice (c) is correct!*

$LT\phantom{\rule{1em}{0ex}}=LQ\phantom{\rule{1em}{0ex}}-1.5\ast IQR\phantom{\rule{1em}{0ex}}=2-1.5\ast 2=-1$.

*Choice (d) is incorrect*

Questions 1-8 use the same data.

The following integers were obtained as the number of visits to a gift shop, per hour, over several days.

Find the outlier(s) for the above data. Exactly one option must be correct)

The following integers were obtained as the number of visits to a gift shop, per hour, over several days.

0, | 2, | 3, | 1, | 2, | 4, | 5, | 2, | 3, | 4, |

2, | 3, | 3, | 5, | 6, | 2, | 1, | 4, | 1, | 4, |

3, | 1, | 6, | 2, | 1, | 4, | 5, | 2, | 3, | 3, |

1, | 2. |

Find the outlier(s) for the above data. Exactly one option must be correct)

*Choice (a) is correct!*

All of the data points lie between -1 and 7 inclusive, so there are no outliers.

*Choice (b) is incorrect*

*Choice (c) is incorrect*

*Choice (d) is incorrect*

The 5-figure summary of a sample of data is:

$$88.6\phantom{\rule{2em}{0ex}}90.4\phantom{\rule{2em}{0ex}}91.6\phantom{\rule{2em}{0ex}}92.7\phantom{\rule{2em}{0ex}}94.7$$

What is the interquartile range (IQR)?

$$88.6\phantom{\rule{2em}{0ex}}90.4\phantom{\rule{2em}{0ex}}91.6\phantom{\rule{2em}{0ex}}92.7\phantom{\rule{2em}{0ex}}94.7$$

What is the interquartile range (IQR)?

*Correct!*

${Q}_{3}=92.7$ and
${Q}_{1}=90.4$ so
IQR$=92.7-90.4=2.3$.

*Incorrect.*

*Please try again.*

Which figures in the summary are the first and third quartiles?

The following measurements (in mm) were taken (to a very high degree of accuracy)
for the expansion of sections of railway track on days when the temperature exceeded
35${}^{o}$C.
They were distributed into the following intervals, with the indicated frequencies.

How would you describe the above distribution? Exactly one option must be correct)

Cell boundary | Frequency |

0 to $<$0.1 | 3 |

0.1 to $<$0.2 | 5 |

0.2 to $<$0.3 | 10 |

0.3 to $<$0.4 | 8 |

0.4 to $<$0.5 | 6 |

0.5 to $<$0.6 | 4 |

0.6 to $<$0.7 | 3 |

0.7 to $<$0.8 | 2 |

How would you describe the above distribution? Exactly one option must be correct)

*Choice (a) is incorrect*

*Choice (b) is correct!*

The distribution has a long right tail.

*Choice (c) is incorrect*

*Choice (d) is incorrect*