Online Statistics Worksheets

Statistics Worksheets

**Page 3**

21.

The frequency distribution of the highest temperatures (in °F) in 50 states during a season is shown. Find the percentile rank for a temperature of 117.5°F by constructing a percentile graph.

Temperatures | Number of states |

99.5 - 104.5 | 2 |

104.5 - 109.5 | 8 |

109.5 - 114.5 | 18 |

114.5 - 119.5 | 13 |

119.5 - 124.5 | 7 |

124.5 - 129.5 | 1 |

129.5 - 134.5 | 1 |

a. | 65th percentile | ||

b. | 55th percentile | ||

c. | 60th percentile | ||

d. | 40th percentile |

Compute cumulative percents for each class by using cumulative percent =

For first class, cumulative % =

Tabulate the results

Draw a graph with the class boundaries on

To find the percentile rank for a temperature of 117.5°F, find 117.5 on the

So, the approximate percentile rank for a temperature of 117.5°F is 60th percentile.

Correct answer : (3)

22.

Check the following data set for outliers.

25, 43, 16, 4, 11, 39, 28, 8

25, 43, 16, 4, 11, 39, 28, 8

a. | no outlier | ||

b. | 43 | ||

c. | 86 | ||

d. | 4 |

4, 8, 11, 16, 25, 28, 39, 43

Q

[Q

Q

[Q

Q

[Q

Interquartile Range (IQR) = Q

To find the outlier, compute the cut-off points for outliers.

Lower fence = Q

Upper fence = Q

If a data value is less than the lower fence or greater than the upper fence, then it is considered an outlier.

There are no values that are less than - 26.5 or greater than 69.5.

So, there is no outlier.

Correct answer : (1)

23.

Find Q_{1}, Q_{2} and Q_{3} for the data set.

9, 3, 2, 5, 4, 7, 6, 11, 13.

9, 3, 2, 5, 4, 7, 6, 11, 13.

a. | Q _{1} = 4.5, Q_{2} = 6 and Q_{3} = 10 | ||

b. | Q _{1} = 3.5, Q_{2} = 6 and Q_{3} = 11 | ||

c. | Q _{1} = 3.5, Q_{2} = 7 and Q_{3} = 10 | ||

d. | Q _{1} = 3.5, Q_{2} = 6 and Q_{3} = 10 |

2, 3, 4, 5, 6, 7, 9, 11, 13

Median = 6.

[Median is the middle value of the data set in the order.]

So, Q

[Q

The median of the data values less than 6 (median) is Q

The data values that are less than 6 (median) are 2, 3, 4, 5.

Q

The median of the data values greater than 6 (median) is Q

The data values that are greater than 6 (median) are 7, 9, 11, 13.

Q

So, Q

Correct answer : (4)

24.

Amy recorded the number of different flowers used in a bouquet. Which measure of central tendency is most appropriate to describe the data ?

a. | mode | ||

b. | mean | ||

c. | outlier | ||

d. | median |

Correct answer : (1)

25.

Which measure of central tendency is most appropriate for a data that describes the shoe size of the students of your class?

a. | outlier | ||

b. | mode | ||

c. | mean | ||

d. | median |

Correct answer : (3)

26.

Use the stem-and-leaf plot to find the number of data items in the interval 20 - 69.

a. | 18 | ||

b. | 14 | ||

c. | 20 | ||

d. | 17 |

Correct answer : (4)

27.

The line plot shows the number of chocolates that each student of a class has. How many more chocolates does Smith have than Catherine?

a. | 5 | ||

b. | 3 | ||

c. | 4 |

Correct answer : (1)

28.

Which line plot displays the data set 45, 49, 53, 54, 57, 49, 58, 52 accurately?

a. | Plot 1 | ||

b. | Plot 2 | ||

c. | Plot 3 | ||

d. | Plot 4 |

Correct answer : (3)

29.

Which measure of central tendency is most appropriate for a data that describes the favorite color of 5 girls: blue, red, red, green, orange?

a. | outlier | ||

b. | median | ||

c. | mode | ||

d. | mean |

Correct answer : (3)

30.

Which measure of central tendency is most appropriate for the data listed?

0, 0, 0, 1, 1, 1, 1, 2, 2, 2

0, 0, 0, 1, 1, 1, 1, 2, 2, 2

a. | median | ||

b. | mean | ||

c. | mode | ||

d. | all of these |

Correct answer : (4)