Boxplots and Relative Standing (back side is in two classes)

1. Box-and-whisker plot: Consider the following ordered data:
2. 12, 19, 23, 23, 24, 32, 32, 32, 34, 36, 43, 45, 47, 54, 56, 67, 92

1. Are there any outliers? If so, which data value(s)?

1. At what percentile is 34?

1. Which value is at the 60th percentile?

2. The number of standard deviations that a data point is from the mean is important in statistics. How could we determine how far away a data point is? Here are some problems to help us figure it out.

1. For the population of students at a local high school, the mean score on a geometry SOL test was 461 points, with a population standard deviation of 43 points.
2. What scores are 1 standard deviation above and below the mean?

1. What score is 1.62 standard deviations above the mean?

1. How many standard deviations away from the mean is a score of 547?

1. How about a score of 450? Should this answer be positive or negative?

1. Suppose the mean is 46.3 and the standard deviation is 7.8 for a data set.
2. How many standard deviations away is the value 56.44?

1. How many standard deviations away is the value 24.74?