Pearson Algebra 1 Common Core, 2011
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Pearson Algebra 1 Common Core, 2011 View details
3. Measures of Central Tendency and Dispersion
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Exercise 24 Page 743

How do you find the measures of central tendency of a set? What happens if you divide every value by the same number?

Mean 5.9Ï€ inches
Median 6.5Ï€ inches
Mode 6.5Ï€ inches
Range 4.2Ï€ inches
Practice makes perfect

We will begin by ordering the given diameters from least to greatest. 3.2in. 5.8in. 6.5in. 6.5in. 7.4in. To calculate the circumferences of the circles we need to multiply each of the diameters by π. 3.2π 5.8π 6.5π 6.5π 7.4π Note that all of these values are in inches. Since there are 5 values, to find the mean we need to add all of the values and divide the sum by 5. Let's do it!

Mean: 3.2Ï€ + 5.8Ï€+ 6.5Ï€ + 6.5Ï€ + 7.4Ï€/5
Mean: (3.2 + 5.8+ 6.5 + 6.5 + 7.4)Ï€/5
Mean: 29.4Ï€/5
Mean: 29.4/5Ï€
Mean: 5.88Ï€
Mean: ≈ 5.9π

The mean is about 5.9Ï€ inches. Since there are 5 values, we need to locate the third value to find the median of the circumferences. 3.2Ï€ 5.8Ï€ 6.5Ï€ 6.5Ï€ 7.4Ï€ The median is about 6.5Ï€ inches. To find the mode we need to look for repeated values in the set. Let's do it! 3.2Ï€ 5.8Ï€ 6.5Ï€ 6.5Ï€ 7.4Ï€ The mode of the set is 6.5Ï€ inches because it is the only repeated value. Finally, to find the range of the data we need to subtract the least value from the greatest value. Range: 7.4Ï€ - 3.2Ï€ = 4.2Ï€