Question: Ted tossed a frisbee as far as he could 15 times. The following distances, in feet, were recorded…

Ted tossed a frisbee as far as he could 15 times. The following distances, in feet, were recorded. Find each measure of central tendency. 163 104 178 252 106 200 108 199 256 203 139 229 126 148 231

Solution

To find each measure of central tendency, we need to calculate the mean, median, and mode for the given set of distances. The distances (in feet) are: \[163, 104, 178, 252, 106, 200, 108, 199, 256, 203, 139, 229, 126, 148, 231\] Mean: Add all the distances together. \[ 163 + 104 + 178 + 252 + 106 + 200 + 108 + 199 + 256 + 203 + 139 + 229 + 126 + 148 + 231 = 2642 \] Divide by the number of distances (15). \[ \frac{2642}{15} \approx 176.13 \] Median: First, arrange the numbers in ascending order: \[104, 106, 108, 126, 139, 148, 163, 178, 199, 200, 203, 229, 231, 252, 256\] The median is the middle number. Since there are 15 numbers, the median is the 8th number. The median is: \[178\] Mode: The mode is the number that appears most frequently. Each number appears only once, so there is no mode. Summary: - Mean: \(176.13\) - Median: \(178\) - Mode: None