Question

10. (1 pt) The following 10 data values are systolic blood pressure readings. Compute the mean,...

10. (1 pt) The following 10 data values are systolic blood pressure readings. Compute the mean, range, standard deviation, Q1, Q3, IQR and variance for these data using StatCrunch. Are there any outliers in this data set? Plot a boxplot to prove your answer. Copy and Paste your work from StatCrunch into your Word document submission.


130 125 160 120 170

120 130 130 140 90

Math   Statistics-And-Probability   
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Answer #1

mean =    ΣX/n =    1415/10=   141.500
range=max-min =    190-120=   70.000
sample std dev =   √ [ Σ(X - X̄)²/(n-1)] =   √(5102.5/9)=   23.8106
quartile , Q1 = 0.25(n+1)th value=   2.75th value of sorted data=   123.75
      
Quartile , Q3 = 0.75(n+1)th value=   8.25th value of sorted data=   162.5
      
IQR = Q3-Q1 =    162.5-123.75=   38.8
sample variance =    Σ(X - X̄)²/(n-1)=   5102.5/9=   566.944

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