Below is the five-number summary for 136 hikers who recently completed the John Muir Trail (JMT). The variable is the amount of time to complete the 212-mile hike from Yosemite Valley across the high Sierras to the top of Mount Whitney. Five-number summary: Minimum: 9 days Q1: 18 days Median: 21 days Q3: 28 days Maximum: 56 days If we use the 1.5 * IQR rule to determine whether there are any outliers, what is the right boundary?

Question

Mathematics

Declan

26 July, 23:40

Below is the five-number summary for 136 hikers who recently completed the John Muir Trail (JMT). The variable is the amount of time to complete the 212-mile hike from Yosemite Valley across the high Sierras to the top of Mount Whitney. Five-number summary: Minimum: 9 days Q1: 18 days Median: 21 days Q3: 28 days Maximum: 56 days If we use the 1.5 * IQR rule to determine whether there are any outliers, what is the right boundary?

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Answers (1)

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Kaiser · Answer 1

43

Step-by-step explanation:

We have the following dа ta:

Total number of hikers: 136

Minimum: 9 days

Q1 : 18 days

Median: 21 days

Q3: 28 days

Maximum: 56 days

Using the 1.5 Interquartile rule means:

Left boundary: Q1 - 1.5 * IQR

Right boundary: Q3 + 1.5 * IQR

We first calculate the IQR (Interquartile Range) : Q3 - Q1

⇒ 28 - 18 = 10

Right boundary: 28 + 1.5 * 10

= 28 + 15

= 43

Hence the right boundary is 43.