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To calculate the Quartile Deviation and Mean Deviation from the mean, we will follow the steps for both: ### 1. Quartile Deviation The Quartile Deviation is calculated using the formula: \[ QD = \frac{Q_3 - Q_1}{2} \] Where: - \(Q_1\) is the first quartile (25th percentile), - \(Q_3\) is the third quartile (75th percentile). We first need to compute the cumulative frequency and determine the quartile positions. ### 2. Mean Deviation from the Mean The Mean Deviation from the Mean is given by: \[ MD = \frac{\sum |X - \overline{X}| f}{\sum f} \] Where: - \(X\) is the midpoint of each class interval, - \(f\) is the frequency of each class, - \(\overline{X}\) is the mean of the data. --- ### Step 1: Compute Class Midpoints and Cumulative Frequencies | Marks Interval | Frequency (f) | Class Midpoint (X) | Cumulative Frequency | |----------------|---------------|--------------------|----------------------| | 15-25 | ______ ________ ____ _____ _________.
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