Question

The data in the table represent the training times (in seconds) for Adam. Adam 103 105 104 106 100 98 92 91 97 101 Points Concept Addressed 1 Correctly identifies the maximum, minimum. 1 Correctly identifies the median. 2 Correctly identifies Q1 & Q3 values. Find the five-number summary for the data. Max: Q_1: Q_2 (median): Q_3: Min:

Answer 1

Answer:

A. Miguel has the greatest spread.

The range of the two persons can be determined by:

Adam's range = 106 -91 = 15

Miguel's range = 105 -86 = 19

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

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

Adam has the least spread

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

The answers to parts 2a and 2b show that there is a wide variation in the time that Miguel spend during training, but a minimum variation in the time spent by Adam during training.