65, 68, 70,72,73,75,76
Give medium
Lower quartile
Upper quartile
Inner quartile range
The given dataset is: 65, 68, 70, 72, 73, 75, 76.
To find the median:
Arrange the data in ascending order: 65, 68, 70, 72, 73, 75, 76.
Since the dataset contains an odd number of values (7), the median is the middle value, which is 72.
To find the lower quartile:
There are (7 + 1) / 4 = 2 data points before the lower quartile.
The second value is 68, which is the lower quartile.
To find the upper quartile:
There are (7 + 1) * 3 / 4 = 6 data points before the upper quartile.
The sixth value is 75, which is the upper quartile.
To find the interquartile range:
The interquartile range is calculated by subtracting the lower quartile (68) from the upper quartile (75).
Therefore, the interquartile range is 75 - 68 = 7.