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What is the variable in this example

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A 10K race had a mean finish time of 24.8 minutes and standard deviation of 4.5 minutes. the finish times were normally distributed.

1) What is the variable in this example? Classify this variable as qualitative or quantitative, by type (nominal/ordinal/interval/ratio), and as continuous or discrete.

2) One of the runners had a finish time one standard deviation above the mean. If there were 242 runners in the race, how many had a faster (shorter) finish time?

3) If my finish time was 22.1 minutes,

a) Calculate the z-score for my time.

b) What percentage of runners had a faster finish time?

c) If I would like to finish in the top 10%, how much faster would I need to complete the race? Round to the nearest tenth of a minute.

Reference no: EM132581294

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