speed (mph) frequency\n117 1\n119 3\n120 1\n121 4\n123 1\n125 2\n126 1\n127 6\na golfer measured the speed…
speed (mph) frequency\n117 1\n119 3\n120 1\n121 4\n123 1\n125 2\n126 1\n127 6\na golfer measured the speed, in miles per hour (mph) of several drives with the same golf club. the frequency table tells how often each speed occurred. what is the median speed of the drives in miles per hour?
Answer
Explanation:
Step1: Calculate total frequency
$1 + 3+1 + 4+1+2+1+6=19$
Step2: Determine position of median
Since $n = 19$ (odd - numbered data set), the median is at the $\frac{n + 1}{2}=\frac{19+1}{2}=10$ - th position when data is arranged in ascending order.
Step3: Cumulative frequency
| Speed (mph) | Frequency | Cumulative Frequency |
|---|---|---|
| 117 | 1 | 1 |
| 119 | 3 | 1 + 3=4 |
| 120 | 1 | 4 + 1=5 |
| 121 | 4 | 5 + 4=9 |
| 123 | 1 | 9 + 1=10 |
The 10 - th value falls within the speed of 123 mph.
Answer:
123