The median is 28. The first quartile is 15 and the third quartile is 36. The interquartile range is 21 and the range is 29.
Median:
The median is the middle value of a data set when arranged in ascending order. To find the median, we first need to sort the data in ascending order: 11, 15, 19, 24, 28, 32, 36, 38, 40. Since we have 9 values, the middle value is the 5th value, which is 28. Thus, the median is 28.
First and Third Quartiles:
The first quartile (Q1) and third quartile (Q3) divide the data set into four equal parts. So, we need to sort the data in ascending order: 11, 15, 19, 24, 28, 32, 36, 38, 40. The first quartile (Q1) is the median of the lower half of the data, which is from the 1st value to the 4th value. So, Q1 is 15. The third quartile (Q3) is the median of the upper half of the data, which is from the 6th value to the 9th value. So, Q3 is 36.
Interquartile Range:
The interquartile range (IQR) is the range between the first quartile (Q1) and the third quartile (Q3). So, IQR = Q3 - Q1 = 36 - 15 = 21.
Range:
The range is the difference between the maximum value and the minimum value of a data set. So, in this case, the maximum value is 40 and the minimum value is 11. Therefore, the range is 40 - 11 = 29.