2. Describing Data with Tables and Graphs
Frequency Distributions
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A data set has a minimum value of 16 and a maximum value of 71. Without constructing a table, find the class width if you organized this data into 7 classes. Write the lower and upper class limits.
min = 16; max = 71; 7 classes.
A
Lower: 16, 23, 30, 37, 44, 51, 58, 65
Upper: 24, 32, 40, 48, 56, 64, 72
B
Lower: 16, 24, 32, 40, 48, 56, 64
Upper: 23, 31, 39, 47, 55, 63, 74
C
Lower: 16, 23, 30, 37, 44, 51, 58, 65
Upper: 24, 32, 40, 48, 56, 64, 71
D
Lower: 16, 24, 32, 40, 48, 56, 64
Upper: 23, 31, 39, 47, 55, 63, 71
Verified step by step guidance1
Calculate the range of the data set by subtracting the minimum value from the maximum value: Range = Maximum - Minimum = 71 - 16.
Determine the class width by dividing the range by the number of classes. Use the formula: Class Width = Range / Number of Classes. Since the number of classes is 7, substitute the values into the formula.
Round up the class width to the nearest whole number if necessary, as class width should be a whole number.
Identify the lower class limits by starting with the minimum value and adding the class width successively to find each subsequent lower limit.
Determine the upper class limits by subtracting 1 from the next lower class limit or by adding the class width to each lower class limit and subtracting 1.
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