Kuulchat - Senior High School (S.H.S) Mathematics Statistics Practice Test Questions

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STATISTICS

1.

The range of a sample of 10 numbers is 5 and the largest value is 50. What is the least value?

A.

40

B.

60

C.

55

D.

45

2.

The mean of ten numbers is 16. When another number, k, is added, the mean becomes 18.

Find the value of k.

A.

38

B.

32

C.

34

D.

36

Mean

Mean = $\frac{Sum of items}{Number of items}$

Mean = 16

Number of numbers = 10

$\frac{Sum of numbers}{10}$ = 16

Get rid of the fraction by multiplying both sides by the denominator 10.

Sum of numbers = 16 x 10 = 160

When k is added, the new sum = 160 + k and the number of numbers become 10 + 1 = 11

Mean for the eleven (11) numbers is 18

$\frac{160 + k}{11}$ = 18

Get rid of the fraction by multiplying both sides by the denominator 11

160 + k = 18 x 11

160 + k = 198

k = 198 - 160

k = 38

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STATISTICS

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