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16) A child was born into the Doe family each year for five consecutive years. W

ID: 2960588 • Letter: 1

Question

16) A child was born into the Doe family each year for five consecutive years. What is the variance of the ages of the Doe children?

A. 1.4
B. 2.0
C. 4.6
D. 2.5



17) A supermarket has determined that daily demand for eggs has a bell-shaped distribution, with a mean of 55 cartons and a standard deviation of six cartons. If the supermarket begins each morning with a stock of 61 cartons of eggs, approximately what percentage of days will there be a surplus of eggs?

A. ˜16%
B. ˜84%
C. ˜68%
D. ˜18%



18) Which measurement uses absolute values?

A. ratio correct
B. interval scale
C. harmonic scale
D. ordinal scale



19) Which of these measurement scales has a rank order associated with its use?

A. Ratio
B. Likert
C. Nominal
D. Ordinal



20) Identify the scale which has no meaningful zero.

A. nominal
B. ratio
C. interval
D. ordinal

Explanation / Answer

(9) The ages are: 0, 1, 2, 3, 4 The mean is: 2 The var is the sum of the square difference, divided by 5: (0-2)^2 + (1-2)^2 + (2-2)^2 + (3-2)^2 + (4-2)^2 = 10 10 divided by 5 = 2 Answer: B 2 --------------------------------------------------------------------------------------------------------- (17) Using the empirical rule, 68% of the data lies within 1 standard deviation. Therefore, 32% lies outside. Since we only care about 1 direction, we only need half that: 16%... 16% of the time they will run out... so 100%-16% = 84% of the time, there will be a surplus Answer: B. ˜84% ------------------------------------------------------------------------------------------------------------ (18) Answer: A. ratio correct ----------------------------------------------------------------------------------------------------------- (19) Answer: D. Ordinal ------------------------------------------------------------------------------------------------------------ (20) Answer: C. interval

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