Question

Based on the following calculator output, determine the inter-quartile range of the dataset.

1-Var-Stats
x=113.857142857
∑x=797
∑x²=103951
Sx=46.9163389145
σx=43.4360895748
n=7
minX=41
Q1=89
Med=110
Q3=136
maxX=196

Answer 1

The interquartile range (IQR) is calculated by subtracting the first quartile (Q1) from the third quartile (Q3). For the provided dataset, the IQR is 47, which indicates the spread of the middle 50 percent of the data.

Step-by-step explanation:

To determine the interquartile range (IQR) of the dataset received from a calculator output, you use the provided values for the first quartile (Q1) and the third quartile (Q3). The IQR is calculated by subtracting Q1 from Q3, which is a measure of the spread of the middle 50 percent of the data.

IQR = Q3 - Q1

Based on the calculator output, we have the following values:

• Q1 = 89
• Q3 = 136

Therefore, the IQR of the dataset is:

IQR = 136 - 89 = 47

The IQR of 47 signifies the range within which the central 50% of the data values lie. This measurement helps to understand the dataset's variability and identify potential outliers.