Based on the following calculator output, determine the inter-quartile range of the dataset. 1-Var-Stats xˉ=221.857142857Σx=1553Σx2=356195Sx=44.0659678642σx=40.7971587646n=7minX=167Q1=176Med2=232Q3=254maxX=285Answer:
Q. Based on the following calculator output, determine the inter-quartile range of the dataset. 1-Var-Stats xˉ=221.857142857Σx=1553Σx2=356195Sx=44.0659678642σx=40.7971587646n=7minX=167Q1=176Med2=232Q3=254maxX=285Answer:
Understand IQR Definition: Understand what the inter-quartile range (IQR) is.The inter-quartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1) of a dataset. It measures the spread of the middle 50% of the data.
Identify Quartiles: Identify the first quartile (Q1) and the third quartile (Q3) from the calculator output.According to the given output, the first quartile (Q1) is 176 and the third quartile (Q3) is 254.
Calculate IQR: Calculate the inter-quartile range (IQR) using the values of Q1 and Q3.IQR=Q3−Q1IQR=254−176IQR=78
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