Question

find the range and interquartile range (iqr) of the data set: 8.5, 10.0, 10.5, 9.5, 9.0, 9.5. press each hotspot. label the corresponding number below with the requested value. press to hear a reminder or hint for this problem. the iqr is difference between the middle of the first half of the data and the middle of the second half of data.

Explanation:

Step1: Arrange data in ascending order

$8.5,9.0,9.5,9.5,10.0,10.5$

Step2: Calculate the range

Range = Maximum - Minimum = $10.5 - 8.5=2$

Step3: Find the median (Q2)

Since there are 6 data - points, the median is the average of the 3rd and 4th ordered values. $Q2=\frac{9.5 + 9.5}{2}=9.5$

Step4: Find Q1 and Q3

The first half of the data is $8.5,9.0,9.5$, and its median $Q1 = 9.0$. The second half of the data is $9.5,10.0,10.5$, and its median $Q3 = 10.0$.

Step5: Calculate the IQR

$IQR=Q3 - Q1=10.0 - 9.0 = 1$

Answer:

Range: 2
IQR: 1