The track team runs a 100-meter dash. The finishing time in seconds is shown. Find the median of the data.
100-Meter Dash Finishing Time (seconds)
34, 23, 56, 47, 28, 32, 23, 49, 31
The track team runs a 100-meter dash. The finishing time in seconds is shown. Find the median of the data. 100-Meter Dash Finishing Time (seconds) 34, 23, 56, 47, 28, 32, 23, 49, 31
Share
To find the median of the data, follow these steps:
1. Organize the Data: First, arrange the finishing times in ascending order:
– 23, 23, 28, 31, 32, 34, 47, 49, 56
2. Determine the Median: Since there are 9 data points (an odd number), the median will be the middle value. To find the middle index, you can use the formula:
– Median index = (n + 1) / 2, where n is the number of data points.
– Median index = (9 + 1) / 2 = 5.
3. Locate the Median: The 5th number in the ordered list is 32.
Thus, the median finishing time for the 100-meter dash is 32 seconds.