Chapter5 stat

# Chapter5 stat - Chapter 5 Describing Distributions...

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Chapter 5 Describing Distributions Numerically

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Center When we think of a typical value, we usually look for the center of the distribution. Where do you think the center of a distribution is? For a unimodal, symmetric distribution, it’s easy.
Median The middle value that divides the histogram into two equal areas is called the median.

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How to find the Median First, the values have to be in numerical order. If n (the number of values) is odd, the median is the middle value. Counting in from the ends, we find this value in the position. 2 1 + n
(cont.) If n is even, there are two middle values. In this case, the median is the average of the two values in positions . 1 2 and 2 + n n

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Example Here are costs of 10 electric smoothtop ranges rated very good or excellent by Consumer Reports in August 2002. \$850 900 1400 1200 1050 1000 750 1250 1050 565
Finding the Median of the Example First, the numbers have to be in numerical order: 565 750 850 900 1000 1050 1050 1200 1250 1400 Since n is even (10 values), the 2 middle values is found in the 5 th and 6 th positions from either end (1000 and 1050). The average of those 2 values gives us the median of 1025.

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Take away 1400 565 750 850 900 1000 1050 1050 1200 1250 Now that n is odd, the median is found in the 5 th position which is 1000.
The range of the data is defined as the difference between the max and min values.

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## This note was uploaded on 04/07/2008 for the course MAT 108 taught by Professor Lamatina during the Spring '08 term at SUNY Albany.

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Chapter5 stat - Chapter 5 Describing Distributions...

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