Data from the scores of the 100 Student Quantitative Methodalogy have been compiled in the frequency distribution table below: Value of Quantitative Methodologyamount31−40541−50851−601261−701771−802581−902191−10012100 Based on the data above, calculate: a. Mean b. Median c. Mode

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Data from the scores of the 100 Student Quantitative Methodalogy have been compiled in the frequency distribution table below:  Value of Quantitative Methodologyamount31−40541−50851−601261−701771−802581−902191−10012100  Based on the data above, calculate:  a. Mean  b. Median  c. Mode

Stuart Rountree · Accepted Answer

Step 1:Given  The table shows the distribution of various classes.  Step 2:Objective  To calculate mean ,median and mode of this table.  Step 3: Solution  The table is as shown below,  QuantityAmount(f)Cumulative amountxfx31−405535.5177.541−5081345.536451−60122555.566661−70174265.51113.571−80256775.51887.581−90218885.51795.591−1001210095.51196∑A=100  Summation of fx is given by,  ∑fixi=7150  The mean is given by,  x―=∑fixi∑f  =7150100  =71.5  Median is given by,  =L+[(N+12)−(F+1)fm]⋅h  Where,  L=71  N=100  F=42    h=9  fm=25  Median=71+55.5−4325⋅9  =75.5  Mode is given by,  =L+f0−f12f0−f1−f2⋅h  f0=25  f1=17  f2=21  Mode=71+25−172×25−17−21⋅9  =77  So mean, median and mode of this grouped data is 71.5, 75.5 and 77 respectively.

Data from the scores of the 100 Student Quantitative Methodalogy have

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