For a grouped frequency distribution having eight classes, the upper class boundaries of the lowest and the highest classes are 10 and 66 respectively. What is the lower class boundary of the highest class?
Question
For a grouped frequency distribution having eight classes, the upper class boundaries of the lowest and the highest classes are 10 and 66 respectively. What is the lower class boundary of the highest class?
Solution
To find the lower class boundary of the highest class, we first need to determine the class width.
Step 1: Find the range of the data. The range is the difference between the upper class boundary of the highest class and the lower class boundary of the lowest class. In this case, the range is 66 - 10 = 56.
Step 2: Determine the class width. The class width is the range divided by the number of classes. In this case, the class width is 56 / 8 = 7.
Step 3: Find the lower class boundary of the highest class. This is done by subtracting the class width from the upper class boundary of the highest class. In this case, the lower class boundary of the highest class is 66 - 7 = 59.
So, the lower class boundary of the highest class is 59.
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