SOLUTION: Approximate the mean of the frequency distribution 1-2. 16 3-4. 24 5-6. 17 7-8. 20 9-10. 23

Algebra ->  Probability-and-statistics -> SOLUTION: Approximate the mean of the frequency distribution 1-2. 16 3-4. 24 5-6. 17 7-8. 20 9-10. 23      Log On


   



Question 1133616: Approximate the mean of the frequency distribution
1-2. 16
3-4. 24
5-6. 17
7-8. 20
9-10. 23

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
Construct the following table
:
class|midpoint|frequency|midpoint*frequency
:
1-2 1.5 16 24
:
3-4 3.5 24 84
:
5-6 5.5 17 93.5
:
7-8 7.5 20 150
:
9-10 9.5 23 218.5
:
Sum all the entries for midpoint*frequency
:
Sum(midpoint*frequency) = 24 +84 +93.5 +150 +218.5 = 570
:
Sum all the frequencies
:
Sum(frequencies) = 16 +24 +17 +20 +23 = 100
:
**********************************************************
Approximate mean of the frequency distribution = sum(midpoint*frequency)/sum(frequencies) = 570/100 = 5.7
**********************************************************
: