Question

The following are heights of a rural middle school’s eighth graders. The heights are rounded to the nearest inch. Use this information for questions 6-10.

50 |
53 |
54 |
56 |
58 |
59 |
60 |
60 |
62 |
63 |

51 |
53 |
55 |
56 |
58 |
59 |
60 |
61 |
62 |
63 |

51 |
53 |
55 |
57 |
58 |
59 |
60 |
61 |
62 |
63 |

52 |
54 |
56 |
57 |
58 |
59 |
60 |
61 |
62 |
64 |

52 |
54 |
56 |
57 |
58 |
59 |
60 |
62 |
63 |
64 |

6.) Are the heights quantitative data or categorical data?

Quantitative

7.) What is the level of measurement of the heights? (nominal, ordinal, interval, or ratio)

Ratio

8.) If you constructed a frequency distribution with 5 classes, what would be the class width?

50-58= 8

9.) Write the definition of class width below (do not write the formula).

The difference between two consecutive upper and lower class limits

10.) Construct a frequency distribution with 5 classes by filling in the boxes below.

Heights of a Rural Middle School’s Eighth Graders (nearest inch) |
|||

Height |
Midpoint |
Frequency |
Relative Frequency |

The following are heights of a rural middle school’s eighth graders. The heights are rounded to the nearest inch. Use this information for questions 6-10.

50 |
53 |
54 |
56 |
58 |
59 |
60 |
60 |
62 |
63 |

51 |
53 |
55 |
56 |
58 |
59 |
60 |
61 |
62 |
63 |

51 |
53 |
55 |
57 |
58 |
59 |
60 |
61 |
62 |
63 |

52 |
54 |
56 |
57 |
58 |
59 |
60 |
61 |
62 |
64 |

52 |
54 |
56 |
57 |
58 |
59 |
60 |
62 |
63 |
64 |

6.) Are the heights quantitative data or categorical data?

Quantitative

7.) What is the level of measurement of the heights? (nominal, ordinal, interval, or ratio)

Ratio

8.) If you constructed a frequency distribution with 5 classes, what would be the class width?

50-58= 8

9.) Write the definition of class width below (do not write the formula).

The difference between two consecutive upper and lower class limits

10.) Construct a frequency distribution with 5 classes by filling in the boxes below.

Heights of a Rural Middle School’s Eighth Graders (nearest inch) |
|||

Height |
Midpoint |
Frequency |
Relative Frequency |

Answer #1

Age of CEO
57
49
57
63
58
56
67
62
61
61
53
58
52
58
56
66
56
59
52
63
52
59
57
64
53
54
65
46
58
58
57
50
62
57
58
52
48
59
54
62
66
46
52
63
57
52
61
50
55
55
64
48
56
58
55
60
51
62
62
50
45
50
52
55
58
57
52
53
61
55
63
54
52
59
50
56
57...

46 51 52 53 55 55 56 57 58 58 59 60 61 62 62 63 64 67 70 77 What
is the coefficient of variation? A. 11.84% B. 9000% C. 56% D.
1%

The alternating current (AC) breakdown voltage of an insulating
liquid indicates its dielectric strength. An article gave the
accompanying sample observations on breakdown voltage (kV) of a
particular circuit under certain conditions.
62
51
54
57
42
54
56
61
59
64
50
54
64
62
50
68
54
55
57
50
55
51
56
55
46
56
53
55
52
48
47
55
58
48
63
58
58
55
53
59
54
52
51
56
60
51
56
58...

The food services division of Cedar River amusement park Inc. is
studying the amount that families who visit the amusement park
spend per day on food and drink. A sample of 40 families who
visited the park yesterday revealed they spent the following
amounts: $77 $18 $63 $84 $38 $54 $50 $59 $54 $56 $36 $26 $50 $34
$44 41 58 58 53 51 62 43 52 53 63 62 62 65 61 52 60 60 45 66 83 71...

Create a frequency distribution using age and male-yes. It's
supposed to be a bar chart.
Age
55
50
42
47
58
67
64
64
62
43
51
58
42
51
66
69
57
48
51
50
43
46
49
48
55
51
50
41
47
55
54
52
64
68
51
40
53
67
65
47
48
56
64
45
57
50
52
60
66
70
63
63
63
32
70
66
50
67
63
59
63
34
70
50...

Farmer Macdonald grows soybeans. The table shows the heights of
a random sample of 30 plants after several weeks. What is the
z-score of a plant with a height of 70 cm? (Yes, calculate all
necessary statistics and answer assuming a normal distribution) 70,
56, 56, 50, 66, 63, 59, 59, 64, 61, 55, 60, 60, 62, 61, 61, 60, 51,
62, 61, 48, 49, 57, 67, 62, 55, 46, 56, 66, 60

For the following distribution, indicate the class boundaries
(compute to the first decimal) _____, frequency _____, and
cumulative frequency _____ for the interval of 56-58 _____.
Scores: 56, 51, 47, 58, 55, 52, 53, 52, 49, 55, 54, 53, 47, 51,
57, 49, 50, 50, 48, 56, 58, 47, 57, 51, 54, 57, 49, 56

The authors used a more advanced statistical method than is
covered by this course, however, you can apply what you know about
hypotheses and statistical tests to understand their approach.
Present hypotheses and conduct the appropriate statistical test to
assess if the intervention and control groups differed in their
Trail Making Test B results at follow-up (see Table 2). Comment on
whether the conditions were met for using the selected test,
include the StatCrunch output, and interpret your results in...

For the following distribution, indicate the class boundaries
(compute to the first decimal) _____, frequency _____, and
cumulative frequency ______ for the interval of 53-55 _____.
Scores: 56, 51, 47, 58, 55, 52, 53, 52, 49, 55, 54, 53, 47, 51,
57, 49, 50, 50, 48, 56, 58, 47, 57, 51, 54, 57, 49, 56

The table below shows the arm spans (in inches) and the heights
(in inches) of 10 randomly selected people.
Arm Span, x
51
52
56
49
54
59
58
55
52
56
Height, y
51
53
54
50
55
57
58
57
52
56
1) Find the correlation of determination for this data set. Make
sure your answer follows the rounding rule in the direction.
2) What is the proportion of the variation in the heights that
can be explained...

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