To find the outliers in a data set, we first need to calculate the Interquartile Range (IQR). Here are the steps:

1. Arrange the data in increasing order: 24, 34, 37, 41, 99, 107, 113, 114, 119
2. Find the median (Q2): 99
3. Find the lower quartile (Q1), which is the median of the lower half of the data: 37
4. Find the upper quartile (Q3), which is the median of the upper half of the data: 113
5. Calculate the IQR: Q3 - Q1 = 113 - 37 = 76
6. Calculate the lower bound for outliers: Q1 - 1.5*IQR = 37 - 1.5*76 = -77 (there can't be any value lower than this in the data)
7. Calculate the upper bound for outliers: Q3 + 1.5*IQR = 113 + 1.5*76 = 227 (there can't be any value higher than this in the data)

Looking at the data, we can see that all the values fall within the range -77 to 227. Therefore, there are no outliers in this data set.

Question

To find the outliers in a data set, we first need to calculate the Interquartile Range (IQR). Here are the steps:

1. Arrange the data in increasing order: 24, 34, 37, 41, 99, 107, 113, 114, 119
2. Find the median (Q2): 99
3. Find the lower quartile (Q1), which is the median of the lower half of the data: 37
4. Find the upper quartile (Q3), which is the median of the upper half of the data: 113
5. Calculate the IQR: Q3 - Q1 = 113 - 37 = 76
6. Calculate the lower bound for outliers: Q1 - 1.5*IQR = 37 - 1.5*76 = -77 (there can't be any value lower than this in the data)
7. Calculate the upper bound for outliers: Q3 + 1.5*IQR = 113 + 1.5*76 = 227 (there can't be any value higher than this in the data)

Looking at the data, we can see that all the values fall within the range -77 to 227. Therefore, there are no outliers in this data set.

Knowee AI · Accepted Answer

To find the outliers in a data set, we first need to calculate the Interquartile Range (IQR). Here are the steps:

1. Arrange the data in increasing order: 24, 34, 37, 41, 99, 107, 113, 114, 119
2. Find the median (Q2): 99
3. Find the lower quartile (Q1), which is the median of the lower half of the data: 37
4. Find the upper quartile (Q3), which is the median of the upper half of the data: 113
5. Calculate the IQR: Q3 - Q1 = 113 - 37 = 76
6. Calculate the lower bound for outliers: Q1 - 1.5*IQR = 37 - 1.5*76 = -77 (there can't be any value lower than this in the data)
7. Calculate the upper bound for outliers: Q3 + 1.5*IQR = 113 + 1.5*76 = 227 (there can't be any value higher than this in the data)

Looking at the data, we can see that all the values fall within the range -77 to 227. Therefore, there are no outliers in this data set.

Suppose, we have 9 observations such that 37, 34, 24, 41, 113, 99, 119, 107, 114. How many outliers are there?2

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