For type Q, the median was 126 days and the interquartile range was 57 days.
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Compare the number of days that types P and Q lasted.
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Make one statement about the average and one statement about the spread.
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Use statistical measures to support your statements.

To compare the two types of batteries, we need to calculate the median and interquartile range (IQR) for type P from our cumulative frequency graph and compare them to the given values for type Q. **For Type P (from the graph):** Total batteries = 100. - **Median:** Find the 50th value (100 / 2). Go to 50 on the cumulative frequency axis, read across to the curve, and then down to the days axis. This gives a median of approximately **132 days**. - **Lower Quartile (Q1):** Find the 25th value (100 / 4). This gives Q1 ≈ **108 days**. - **Upper Quartile (Q3):** Find the 75th value (3 * 100 / 4). This gives Q3 ≈ **154 days**. - **Interquartile Range (IQR):** IQR = Q3 - Q1 ≈ 154 - 108 = **46 days**. **For Type Q (given):** - Median = **126 days** - IQR = **57 days** **Comparison:** - **Average:** The median for P (132 days) is higher than the median for Q (126 days). This suggests that, on average, type P batteries last longer. - **Spread:** The IQR for P (46 days) is smaller than the IQR for Q (57 days). This suggests that the lifespan of type P batteries is more consistent and less varied than type Q.