the consistency of a drink machine is being tested the machine dispenses the following ounces of water in five different trials : 15, 10, 13, 12, 12 what is the iqr of the despensing trials
The IQR is what?
The IQR (Interquartile Range) is a measure of statistical dispersion, or in simpler terms, it is a measure of how spread out the data points are in a dataset. It is calculated by subtracting the first quartile (Q1) from the third quartile (Q3).
To find the IQR of the dispensing trials, we first need to sort the data points in ascending order: 10, 12, 12, 13, 15.
Next, we calculate the first quartile (Q1) and the third quartile (Q3). Q1 is the median of the lower half of the data points (10, 12) and Q3 is the median of the upper half of the data points (12, 13).
Q1 = (10 + 12) / 2 = 11
Q3 = (12 + 13) / 2 = 12.5
Finally, we calculate the IQR:
IQR = Q3 - Q1 = 12.5 - 11 = 1.5
Therefore, the IQR of the dispensing trials is 1.5 ounces.