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.

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. Maximum value is $10.5$ and minimum is $8.5$. So, Range = $10.5 - 8.5=2$

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 the lower half and Q1

The lower half of the data is $8.5,9.0,9.5$. The median of the lower half (Q1) is $9.0$

Step5: Find the upper half and Q3

The upper half of the data is $9.5,10.0,10.5$. The median of the upper half (Q3) is $10.0$

Step6: Calculate the inter - quartile range (IQR)

IQR = Q3 - Q1. So, IQR=$10.0 - 9.0 = 1$

Answer:

Range: 2, IQR: 1