If the variance of the scores a, 4, 6, b and 10 is 8, then the possible values of a and b are:
a. 2 and 8
b. 3 and 5
c. 4 and 5
d. 2 and 4

Question

If the variance of the scores a, 4, 6, b and 10 is 8, then the
possible values of a and b are:
a 2 and 8
b 3 and 5
c 4 and 5
​d 2 and 4

Lovina Kansal · Accepted Answer

Dear student
Mean=a+4+6+b+105=a+b+205Variance=815a2+42+62+b2+102-Mean2=815a2+16+36+b2+100-a+b+2052=815a2+b2+152-125a2+b2+400+2ab+40b+40a=8
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If the variance of the scores a, 4, 6, b and 10 is 8, then the possible values of a and b are: a. 2 and 8 b. 3 and 5 c. 4 and 5 ​d. 2 and 4

If the variance of the scores a, 4, 6, b and 10 is 8, then the possible values of a and b are:
a. 2 and 8
b. 3 and 5
c. 4 and 5
d. 2 and 4