Use the given minimum and maximum data entries, and the number of classes, to find the class width, the lower class limits, and the upper class limits. minimum \( =13 \), maximum \( =56,6 \) classes

To find the class width, lower class limits, and upper class limits, we can follow these steps: ### Step 1: Calculate the Range The range is calculated as follows: \[ \text{Range} = \text{Maximum} - \text{Minimum} = 56 - 13 = 43 \] ### Step 2: Calculate the Class Width The class width can be calculated using the formula: \[ \text{Class Width} = \frac{\text{Range}}{\text{Number of Classes}} \] Assuming you want to round up to the nearest whole number for practical purposes, we can calculate the class width: \[ \text{Class Width} = \frac{43}{6} \approx 7.1667 \] Rounding up, we get: \[ \text{Class Width} = 8 \] ### Step 3: Determine the Lower Class Limits The lower class limits can be determined starting from the minimum value and adding the class width for each subsequent class. 1. First class lower limit: 13 2. Second class lower limit: \( 13 + 8 = 21 \) 3. Third class lower limit: \( 21 + 8 = 29 \) 4. Fourth class lower limit: \( 29 + 8 = 37 \) 5. Fifth class lower limit: \( 37 + 8 = 45 \) 6. Sixth class lower limit: \( 45 + 8 = 53 \) So, the lower class limits are: - 13 - 21 - 29 - 37 - 45 - 53 ### Step 4: Determine the Upper Class Limits The upper class limits can be determined by adding the class width minus 1 to each lower class limit (since the upper limit is inclusive). 1. First class upper limit: \( 13 + 8 - 1 = 20 \) 2. Second class upper limit: \( 21 + 8 - 1 = 28 \) 3. Third class upper limit: \( 29 + 8 - 1 = 36 \) 4. Fourth class upper limit: \( 37 + 8 - 1 = 44 \) 5. Fifth class upper limit: \( 45 + 8 - 1 = 52 \) 6. Sixth class upper limit: \( 53 + 8 - 1 = 60 \) So, the upper class limits are: - 20 - 28 - 36 - 44 - 52 - 60 ### Summary - **Class Width**: 8 - **Lower Class Limits**: 13, 21, 29, 37, 45, 53 - **Upper Class Limits**: 20, 28, 36, 44, 52, 60 This gives you a complete set of class intervals based on the provided minimum, maximum, and number of classes.