The monthly salaries of a sample of 500 employees were rounded to the nearest R10 rand notes. They ranged from a low of R2040 to a high of R3050. If we want to condense the data into six class intervals, what is the most convenient class width (rounded off to zero decimals)?
To determine the most convenient class width, we need to calculate the range of the data first. The range is the difference between the highest and lowest values in the dataset.
Range = Highest Value - Lowest Value
Range = R3050 - R2040
Range = R1010
Now, since we want to condense the data into six class intervals, we need to divide the range by the number of intervals.
Class interval width = Range / Number of Intervals
Class interval width = R1010 / 6
Class interval width = R168.333...
Now, since the question asks for the class width rounded off to zero decimals, we need to round up or down to the nearest whole number.
Rounding the class interval width of R168.333... to the nearest whole number gives us:
Class interval width = R168
Therefore, the most convenient class width, rounded off to zero decimals, is R168.