The value that completes the box plot distribution of wind speed statement is 48 km/h.
To determine the value that completes the statement, locate the median, which represents the 50th percentile. From the plot, the median (50th percentile) is at approximately 42 km/h.
The box extends from the first quartile (25th percentile) to the third quartile (75th percentile), so determine the range of speeds that contains 50% of the measurements by finding the difference between the median and the first quartile, and then adding it to the median.
The plot estimates that the difference between the median and the first quartile is approximately 6 km/h.
Therefore, 50% of the speeds are between 36 km/h and (42 + 6) km/h, which simplifies to 36 km/h and 48 km/h.
So the value that completes the statement is 48 km/h.
Question
This box plot shows the distribution of wind speeds measured near an oil rig.Work out the value that completes the statement below.
50% of the speeds are between 36 km/h and… km/h