Question

PLEASE ANSWER ALL PARTS OF THE QUESTION - 100 POINTS!

The data in the table represent the training times (in seconds) for Adam and Miguel.

Adam 103 105 104 106 100 98 92 91 97 101
Miguel 88 86 89 93 105 85 92 96 97 94

(a) All of the training times of which person had the greatest spread? Explain how you know.
(b) The middle 50% of the training times of which person had the least spread? Explain how you know.
(c) What do the answers to Parts 2(a) and 2(b) tell you about Adam’s and Miguel’s training times?

Answer 1

Answer: Person above was correct, I got a 100% on my test. :)

Answer 2

A. Miguel has the greatest spread.

B. Considering the middle 50% of the training time, the person with the least spread is Adam.

C. Miguel is inconsistent with the time set for training compared to that of Adam.

Explanation:

The spread of a data shows the range of the data.

Using the range to determine the spread of the given data:

A. The range of the two persons can be determined by:

Range = highest value - lowest value

So that:

Adam's range = 106 - 91

= 15

Miguel's range = 105 - 86

= 19

Comparing the range of the two, Miguel has the greatest spread.

B. Considering the middle 50% of the training time;

Adam - 103 105 104 106 100

Miguel - 88 86 89 93 105

Adam's 50% range = 106 - 100

= 6

Miguel's 50% range = 105 - 86

= 19

Considering the middle 50% of the training time, the person with the least spread is Adam.

C. The answers to parts 2(a) and 2(b) shows that; there is a wide variation (much inconsistency) in the time that Miguel spend during training, but a minimum variation in the time spent by Adam during training.

Explanation: