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Anna11 [10]
2 years ago
14

Below is the five Number summary for a 136 hikers who recently completed the John muir trail JMT the variable is the amount of t

ime to complete the 212 mile Hike from Yosemite Valley across the high sierras To the top of Mount Whitney
5 number summary
Minimum 9 days
Q118 days
Median 21 days
Q328 days
Maximum 56 days

If we use the 1.5 IQR rule to determine whether there are any outliers what is the left a boundary

a. 56
b. 3
c. 43
d. 9
Mathematics
1 answer:
Helga [31]2 years ago
7 0

Answer:

IQR = Q_3 -Q_1 = 28-18 = 10

Now we can find the limits in order to determine outliers like this:

Left = Q_1 -1.5 IQR = 18 -1.5*10=3

Right = Q_1 +1.5 IQR = 18 +1.5*10=33

So for this case the left boundary would be 3, if a value is lower than 3 we consider this observation as an outlier

b. 3

Step-by-step explanation:

For this case we have the following summary:

Minimum = 9 represent the minimum value

Q_1 = 18 represent the first quartile

Median =Q_2= 21 represent the median

Q_3 = 28 represent the third quartil

Maximum=56 represent the maximum

If we use the 1.5 IQR we need to find first the interquartile range defined as:

IQR = Q_3 -Q_1 = 28-18 = 10

Now we can find the limits in order to determine outliers like this:

Left = Q_1 -1.5 IQR = 18 -1.5*10=3

Right = Q_1 +1.5 IQR = 18 +1.5*10=33

So for this case the left boundary would be 3, if a value is lower than 3 we consider this observation as an outlier

b. 3

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