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# Statistics Questions

1. A data set has a mean of 40, median of 20, and a mode of 20. Would the data likely be
a. Symmetrical
b. Skewed

2. If the mean, mode, and median are the same value, you have a normal distribution
a. True
b. False

3. An average or mean can be misleading as to the actual distribution of the data
a. True
b. False

4. The mode can never take on multiple values
a. True
b. False

5. A z-score is simply the number of standard deviation units you are away from the mean for a given data point
a. True
b. False

6. The mean is always a more valid measure to use in explaining data than the median
a. True
b. False

7. A mean is calculated by adding all the data values and dividing by the total number of data values
a. True
b. False

8. Calculate a z-score for the data point of 114 where the mean is 100 and the standard deviation is 16

9. IQ tests generally have scores in which the mean is 100, and the standard deviation is 16. If your IQ score was 134, what percentage of the population would have a higher IQ than you?

#### Solution Preview

Research

1. A data set has a mean of 40, median of 20, and a mode of 20. Would the data likely be
a. Symmetrical
b. Skewed

b. Skewed

If the mean is that far away from the median, then the data are probably not symmetrical.

2. If the mean, mode, and median are the same value, you have a normal distribution
a. True
b. False

b. False

You could have a normal distribution, but you don't necessarily have one.

3. An average or mean can be ...

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