To find the values such as range, outlier, median, lower quartile (Q1), upper quartile (Q3), and interquartile range (IQR) from the data set, I would need the specific values from Carol's study, typically presented in a table. However, I can explain how to calculate each of these values.
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Range: The difference between the maximum and minimum values in the data set. \[ \text{Range} = \text{Maximum} - \text{Minimum} \]
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Outlier: A value that lies outside 1.5 times the interquartile range below Q1 or above Q3. The steps to identify outliers are:
- Calculate IQR: \( \text{IQR} = Q3 - Q1 \)
- Calculate lower bound: \( Q1 - 1.5 \times \text{IQR} \)
- Calculate upper bound: \( Q3 + 1.5 \times \text{IQR} \)
- Any data point outside these bounds is considered an outlier.
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Median: The middle value when the data set is ordered. If there's an even number of data points, the median is the average of the two middle numbers.
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Lower Quartile (Q1): The median of the first half of the data (below the median).
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Upper Quartile (Q3): The median of the second half of the data (above the median).
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Interquartile Range (IQR): The difference between the upper and lower quartiles. \[ \text{IQR} = Q3 - Q1 \]
If you can provide the data set from Carol's study, I can help you compute these statistics.