Naples Florida hosts a half-marathon (13.1 mile race) in January each year. The

Question

Naples Florida hosts a half-marathon (13.1 mile race) in January each year. The event attracts top runners from throughout the United States as well as from around the world. 22 men and 31 women entered the 19-24 age class. Finish times in minutes are contained in order of finish in the Excel Online file below. Construct a spreadsheet to answer the following questions.

1

Are there outliers in either group?

If data contain outliers enter the value. If there are no outliers, leave blank. If there is more than one value, separate your answers with commas (to 2 decimals)

Outliers in the men's group = ?

Outliers in the women's group = ?

Finish Men Women

1

65.53 109.26 2 66.50 111.45 3 66.75 111.88 4 67.08 112.16 5 71.10 114.61 6 87.41 118.56 7 96.68 121.48 8 98.75 122.31 9 100.75 122.71 10 108.41 122.85 11 109.28 124.11 12 110.46 126.01 13 113.13 129.75 14 113.75 130.10 15 121.18 130.95 16 128.21 131.90 17 128.63 132.26 18 131.13 133.43 19 132.03 133.73 20 138.86 136.80 21 144.06 136.98 22 148.93 138.43 23 139.23 24 147.41 25 147.58 26 147.73 27 147.98 28 154.11 29 155.06 30 189.50 31 189.51

Explanation / Answer

For men

Inter Quartile Range =Q3-Q1 = 129.26-83.33 =45.93

Inner fence = Q1- 1.5IQR = 83.33 -1.5 * 45.93 = 14.435

Outer Fence = Q3+ 1.5IQR = 129.26+1.5*45.93 =198.155

No outliers for men's group

For Women :

Inter Quartile Range =Q3-Q1 = 147.41 - 122.31 = 25.1

Inner fence = Q1- 1.5IQR = 122.31-1.5*25.1 = 84.66

Outer Fence = Q3+ 1.5IQR = 147.41+1.5*25.1 = 185.06

Outliers for women's group are 189.50, 189.51 = 2 outliers

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