EXERCISE 1 (2-points total)

Given the dataset shown in table 1:

1. Calculate the Mean
2. Calculate the Variance
3. Calculate the Standard Deviation
4. Calculate the Z-scores for each age value.
5. After calculating the z-score for age =50, and by using the normal table (z-table) what proportion of respondents are below Age 50?

Name/Age

Bob 20

Mary 30

Cynthia 40

Mark 40

Georgia 50

John 60

1. Mean = __________________

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1. Variance = _________________

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1. Standard Deviation = ____________________

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1. Z1 =

Z2 =

Z3 =

Z4 =

Z5 =

Z6 =

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Exercise 2 (1 point)

Given that the mean age at first marriage for respondents in a survey is 23.33, with a standard deviation of 6.13. Calculate the observed age (raw score) at first marriage associated with a Z score of -0.72.

Observed age at first marriage associated with a Z score of -0.72 = ____________

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Exercise 3 (1-point)

The mean number of daily cups of coffee for college student respondents in a survey is 4.76 with a standard deviation of 4.18. Calculate the Z score associated with four cups of coffee.

The Z score associated with four cups of coffee = ____________________

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Exercise 4 (1-point)

Scores for an exam are normally distributed with a mean of 235 and a standard deviation of 52. What is the percentile rank of a raw score 287?

The percentile rank of a raw score 287 = ______________________

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