Statistics Examples

Find the Midpoints of the Frequency Table
ClassFrequency19.55-21.82321.83-24.1524.11-26.38926.39-28.66628.67-30.942
Step 1
The lower limit for every class is the smallest value in that class. On the other hand, the upper limit for every class is the greatest value in that class.
ClassFrequency(f)LowerLimitsUpperLimits19.55-21.82319.5521.8221.83-24.1521.8324.124.11-26.38924.1126.3826.39-28.66626.3928.6628.67-30.94228.6730.94
Step 2
The class midpoint is the lower class limit plus the upper class limit divided by 2.
ClassFrequency(f)LowerLimitsUpperLimitsMidpoint(M)19.55-21.82319.5521.8219.55+21.82221.83-24.1521.8324.121.83+24.1224.11-26.38924.1126.3824.11+26.38226.39-28.66626.3928.6626.39+28.66228.67-30.94228.6730.9428.67+30.942
Step 3
Simplify all the midpoint column.
ClassFrequency(f)LowerLimitsUpperLimitsMidpoint(M)19.55-21.82319.5521.8220.68521.83-24.1521.8324.122.96524.11-26.38924.1126.3825.24526.39-28.66626.3928.6627.52528.67-30.94228.6730.9429.805
Step 4
Add the midpoints column to the original table.
ClassFrequency(f)Midpoint(M)19.55-21.82320.68521.83-24.1522.96524.11-26.38925.24526.39-28.66627.52528.67-30.94229.805
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