What is the IQR for Jacob's data set? The numbers are 14 13, 13 1/2 1614 15 1/2 and 14 1/2 so what is the IQR
To find the Interquartile Range (IQR) for Jacob's data set, we first need to order the numbers from smallest to largest:
13, 13 1/2, 14, 14 1/2, 15 1/2, 16
Next, we need to find the first quartile (Q1) and the third quartile (Q3). Q1 is the median of the lower half of the data set, and Q3 is the median of the upper half.
Q1 = (13 + 13 1/2) / 2 = 13 1/4
Q3 = (15 1/2 + 16) / 2 = 15 3/4
Now, we can calculate the IQR by subtracting Q1 from Q3:
IQR = Q3 - Q1 = 15 3/4 - 13 1/4 = 2 1/2
Therefore, the Interquartile Range (IQR) for Jacob's data set is 2 1/2.