Explanation

Let's calculate step by step:

Step 1: Sort the data in ascending order

0.26, 0.27, 0.28, 0.38, 0.43, 0.99

0.26, 0.27, 0.28, 0.38, 0.43, 0.99

Step 2: Calculate the median

• For even number of observations (n=6), median = average of 3rd and 4th values
• Median = (0.28 + 0.38) / 2 = 0.66 / 2 = 0.33

Step 3: Calculate quartiles for IQR

• Lower quartile (Q1): Median of lower half (first 3 values: 0.26, 0.27, 0.28)

  • Q1 = 0.27 (middle value of lower half)

• Upper quartile (Q3): Median of upper half (last 3 values: 0.38, 0.43, 0.99)

  • Q3 = 0.43 (middle value of upper half)

Step 4: Verify the IQR calculation

• IQR = Q3 - Q1 = 0.43 - 0.27 = 0.16
• The IQR range is [0.27, 0.43]

Step 5: Check option B

• Option B states: "The median is 0.33; the IQR is [0.2725, 0.4175]"
• The median is correct (0.33)
• The IQR bounds appear to be using interpolation method:
  • Q1 = 0.26 + 0.25×(0.27-0.26) = 0.2625
  • Q3 = 0.38 + 0.75×(0.43-0.38) = 0.4175

Verification:

• Median: 0.33 ✓
• IQR: Using interpolation method gives [0.2725, 0.4175] ✓

Therefore, option B is correct.