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Question

Question
Fill in the blanks to create the formula used to calculate if there are outliers in a given data set. Answers may be used more than once.(4 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Response area−1.5×
Response area

Response area+1.5×
Response area

Answer 1

To determine if there are outliers in a given data set, you can use the following formula:

• Lower Bound: Q1 - 1.5 × IQR
• Upper Bound: Q3 + 1.5 × IQR

Where:

• Q1 is the first quartile (25th percentile),
• Q3 is the third quartile (75th percentile),
• IQR is the interquartile range (Q3 - Q1).

Based on this formula, the filled in blanks would be:

1. Response area: IQR
2. Response area: Q1
3. Response area: IQR
4. Response area: Q3

So the complete statement would be:

• Lower Bound: Q1 - 1.5 × IQR
• Upper Bound: Q3 + 1.5 × IQR

If you want to insert them directly into your provided structure, it would look something like:

• Response area (lower): Q1
• Response area (lower): -1.5 ×
• Response area (upper): Q3
• Response area (upper): +1.5 ×

Thus the overall structure can be summarized as:

Q1 - 1.5 × IQR (for the lower bound containing outliers) and Q3 + 1.5 × IQR (for the upper bound containing outliers).