Question

The following nine values represent race finish times in hours for a randomly selected group of participants in an extreme 10 km race (a 10 km race with obstacles). Which of the following is closest to the mean of the data set?

1.0,1.1,1.2,1.2,1.3,1.4,1.4,1.4,1.5
a) 1.1 hours.
b) 1.5 hours.
c) 1.3 hours.
d) 1.6 hours.

Answer 1

The mean (average) finish time for the race is calculated by summing the times and dividing by the number of participants. Upon computation, the mean is 1.2778 hours, and the closest answer choice to this is 1.3 hours, making (c) the correct answer.

Step-by-step explanation:

To find which of the provided options is closest to the mean of the data set of race finish times, we need to calculate the average of the given values:

• 1.0
• 1.1
• 1.2
• 1.2
• 1.3
• 1.4
• 1.4
• 1.4
• 1.5

The mean (average) is the sum of all values divided by the number of values. The mean is calculated as follows:

Mean = (1.0 + 1.1 + 1.2 + 1.2 + 1.3 + 1.4 + 1.4 + 1.4 + 1.5) / 9

Mean = (11.5) / 9

Mean = 1.2778 hours (rounded to four decimal places)

The closest value to 1.2778 hours from the given options is 1.3 hours, which makes option (c) the correct answer.

Answer 2

c) 1.3 hours.

Step-by-step explanation:

The mean of a data set is given by the sum of it's values divided by the number of values.

In this question, we have that:

Nine values.

The sum of them is:

1 + 1.1 + 1.2 + 1.2 + 1.3 + 1.4 + 1.4 + 1.4 + 1.5 = 11.5

The mean is

11.5/9 = 1.28

So closest to 1.3 hours, and the answer is given by option c.