9.7	10.0	10.0	9.0	10.8	8.7	9.5	9.2 what is the interquartile range

To find the interquartile range (IQR), follow these steps:

1. **Arrange the data in ascending order:**
   \[
   8.7, 9.0, 9.2, 9.5, 9.7, 10.0, 10.0, 10.8
   \]

2. **Find the first quartile (Q1):**
   Q1 is the median of the lower half of the data (excluding the overall median if the data set is odd).

   Lower half: \[8.7, 9.0, 9.2, 9.5\]

   The median of this set (average of 9.0 and 9.2):
   \[
   Q1 = \frac{9.0 + 9.2}{2} = 9.1
   \]

3. **Find the third quartile (Q3):**
   Q3 is the median of the upper half of the data.

   Upper half: \[9.7, 10.0, 10.0, 10.8\]

   The median of this set (average of 10.0 and 10.0):
   \[
   Q3 = 10.0
   \]

4. **Calculate the interquartile range (IQR):**
   \[
   \text{IQR} = Q3 - Q1 = 10.0 - 9.1 = 0.9
   \]

Thus, the interquartile range (IQR) is **0.9**.

Would you like further details or have any questions?

Here are 5 related questions to expand on this topic:
1. What does the interquartile range tell us about data spread?
2. How does IQR help in detecting outliers in a data set?
3. Can you explain the difference between IQR and range?
4. How can the quartiles be visually represented on a box plot?
5. How would the IQR change if an additional data point were added?

**Tip:** IQR is a robust measure of variability, less affected by outliers compared to range.

9.7 10.0 10.0 9.0 10.8 8.7 9.5 9.2 what is the interquartile range

Learn how to calculate the interquartile range (IQR) for the data set: 9.7, 10.0, 9.0, 10.8, 8.7, 9.5, 9.2. This step-by-step guide explains the process of arranging data, finding quartiles, and calculating the IQR. Suitable for Grades 8-10 students studying statistics.

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