Statistics Examples

Find the Midpoints of the Frequency Table
ClassFrequency10-14115-19320-24925-292ClassFrequency10141151932024925292
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)LowerLimitsUpperLimits10-141101415-193151920-249202425-2922529ClassFrequency(f)LowerLimitsUpperLimits101411014151931519202492024252922529
Step 2
The class midpoint is the lower class limit plus the upper class limit divided by 22.
ClassFrequency(f)LowerLimitsUpperLimitsMidpoint(M)10-141101410+14215-193151915+19220-249202420+24225-292252925+292ClassFrequency(f)LowerLimitsUpperLimitsMidpoint(M)10141101410+14215193151915+19220249202420+24225292252925+292
Step 3
Simplify all the midpoint column.
ClassFrequency(f)LowerLimitsUpperLimitsMidpoint(M)10-14110141215-19315191720-24920242225-292252927ClassFrequency(f)LowerLimitsUpperLimitsMidpoint(M)10141101412151931519172024920242225292252927
Step 4
Add the midpoints column to the original table.
ClassFrequency(f)Midpoint(M)10-1411215-1931720-2492225-29227ClassFrequency(f)Midpoint(M)1014112151931720249222529227
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