4. The high school basketball scores were 64, 58, 78, 82, 79, 50 and 79. Calculate the mean, median and mode and determine the best measure of center for this data. Mean: 70 Median: 78 Mode: 79 The median is the best measure of center. 5. Which measure of center best describes the average life span of the animals? Mean: 62 Median: 35 Mode: 30 The Median is the best measure of center. Standard Deviation 6. Write the formula for calculating standard deviation. For the following sets of data, calculate the mean and standard deviation of the data. 7. The data set below gives the prices (in dollars) of cordless phones at an electronics store. 35, 50, 60, 60, 75, 65, 80 Mean: 60.71 Standard Deviation: 15.12 8. The data set below gives the numbers of home runs for the 10 batters who hit the most home runs during the 2005 Major League Baseball regular season. 51, 48, 47, 46, 45, 43, 41, 40, 40, 39 Mean: 44 Standard Deviation: 4.03 Normal Calculations (Standardized Scores) 9. 600 students took a coordination test. Scores were normally distributed with a mean of 110 and a standard deviation of 16. a. What percentage of students scored 100 or below? Round to the nearest percent. 27% (if you truncate the z-score of -0.625 to -0.62) b. What percentage of students scored 100 or above? Round to the nearest percent. 73% c. What percentage of students scored between 90 and 125? Round to the nearest percent. 72%
4. The high school basketball scores were 64, 58, 78, 82, 79, 50 and 79. Calculate the mean, median and mode and determine the best measure of center for this data. Mean: 70 Median: 78 Mode: 79 The median is the best measure of center. 5. Which measure of center best describes the average life span of the animals? Mean: 62 Median: 35 Mode: 30 The Median is the best measure of center. Standard Deviation 6. Write the formula for calculating standard deviation. For the following sets of data, calculate the mean and standard deviation of the data. 7. The data set below gives the prices (in dollars) of cordless phones at an electronics store. 35, 50, 60, 60, 75, 65, 80 Mean: 60.71 Standard Deviation: 15.12 8. The data set below gives the numbers of home runs for the 10 batters who hit the most home runs during the 2005 Major League Baseball regular season. 51, 48, 47, 46, 45, 43, 41, 40, 40, 39 Mean: 44 Standard Deviation: 4.03 Normal Calculations (Standardized Scores) 9. 600 students took a coordination test. Scores were normally distributed with a mean of 110 and a standard deviation of 16. a. What percentage of students scored 100 or below? Round to the nearest percent. 27% (if you truncate the z-score of -0.625 to -0.62) b. What percentage of students scored 100 or above? Round to the nearest percent. 73% c. What percentage of students scored between 90 and 125? Round to the nearest percent. 72%
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