Answer:
Group 3
Step-by-step explanation:
The given mean of the population is 55.
For group 1,
Mean = \frac{\sum X}{N}, where X is the all the individual incomes in the group and N is the number of individual incomes in the group.
=[tex]\frac{38+45+76+93+50+54+29+44+62+31}{10}[/tex]
=[tex]\frac{522}{10}[/tex]
=[tex]52.2[/tex]
For group 2,
Mean= [tex]\frac{23+74+50+49+67+34+105+59+40+48}{10}[/tex]
=[tex]\frac{549}{10}[/tex]
=[tex]54.9[/tex]
For group 3,
Mean= [tex]\frac{280+40+39+40+45+52+31+44+50+49}{10}[/tex]
=[tex]\frac{670}{10}[/tex]
=[tex]67.0[/tex]
For group 4,
Mean= [tex]\frac{27+54+42+40+115+48+72+33+28+61}{10}[/tex]
=[tex]\frac{520}{10}[/tex]
=[tex]52.0[/tex]
Since, the mean for group 3 is greater than the given mean, therefore group 3 has the largest mean.
