Question

A.

Team 1: 20    Team 4: 9

Team 2: 17    Team 5: 13

Team 3: 31 Team 6: 38

What is the estimated population variance (round to two decimals)?

What is the estimated population standard deviation (round to two decimals)?

B.

Game 1: 3 Game 5: 3

Game 2: 1 Game 6: 2

Game 3: 4 Game 7: 4

Game 4: 3 Game 8: 1

What is the range of the scores?

Calculate the variance of my scores (round to two decimal places).

Calculate the standard deviation of my scores (round to two decimal places).

Answer 1

Solution:-

A.)

Mean=(20+17+31+9+13+38)/6

=21.333

=1/6((20-21.333)²+(17-21.333)²+(31-21.333)²+(9-21.333)²+(13-21.333)²+(38-21.333)²)

=102.22 ans

Population Standard Deviation=SQRT(Variance)

=SQRT(102.22 )

=10.11 ......ans

B.)

Range=Maximum-Minimum

Range=4-1=3

Mean Score=(3+1+4+3+3+2+4+1)/8=2.625

=1/7((3-2.625)²+(1-2.625)2+(4-2.625)²+(3-2.625)²+(3-2.625)²+(2-2.625)²+(4-2.625)²+(1-2.625)²)

=1.41

standard deviation of scores=sqrt(Variance)

=sqrt(1.41)

=1.19