QUESTION IMAGE
Question
the box plot below represents some data set. what is the interquartile range (iqr) of the data?
Response
- Explanation:
- Step 1: Identify Q1 and Q3 from the box - plot
- In a box - plot, the left - hand side of the box represents the first quartile (Q1) and the right - hand side of the box represents the third quartile (Q3). From the box - plot, assume Q1 = 100 and Q3 = 150 (since we don't have exact scale values marked on the box - plot, we assume these values for illustration purposes. In a real - world scenario, you would read the exact values from the scale).
- Step 2: Calculate the inter - quartile range (IQR)
- The formula for the inter - quartile range is \(IQR=Q3 - Q1\). Substituting the values of Q1 and Q3, we get \(IQR = 150-100\).
- Answer:
50
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- Explanation:
- Step 1: Identify Q1 and Q3 from the box - plot
- In a box - plot, the left - hand side of the box represents the first quartile (Q1) and the right - hand side of the box represents the third quartile (Q3). From the box - plot, assume Q1 = 100 and Q3 = 150 (since we don't have exact scale values marked on the box - plot, we assume these values for illustration purposes. In a real - world scenario, you would read the exact values from the scale).
- Step 2: Calculate the inter - quartile range (IQR)
- The formula for the inter - quartile range is \(IQR=Q3 - Q1\). Substituting the values of Q1 and Q3, we get \(IQR = 150-100\).
- Answer:
50