Vane11
  • Vane11
Help please? The five-number summary of scores on a test is 35 60 65 70 90 Based on this information, A. there are no outliers. B. there are low outliers. C. there are both high and low outliers.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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Vane11
  • Vane11
It seems like both 35 and 90 are, but it could just be 35 since it's 5 more than the difference between 70 and 90
jim_thompson5910
  • jim_thompson5910
the interquartile range (IQR) is IQR = Q3 - Q1 IQR = 70 - 60 IQR = 10
jim_thompson5910
  • jim_thompson5910
anything greater than m + 1.5*IQR (where m is the median) is considered an outlier

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jim_thompson5910
  • jim_thompson5910
in this case m = 65 IQR = 10 so, m + 1.5*IQR = 65 + 1.5*10 = 80 because 90 is larger than 80, we know that 90 is an outlier
jim_thompson5910
  • jim_thompson5910
it works the same in the other direction as well anything smaller than m - 1.5*IQR is considered an outlier
Vane11
  • Vane11
wait wouldn't Q1 equal the average of the left side of the median which is (60+35)/2 ?
jim_thompson5910
  • jim_thompson5910
no, the five number summary is min, Q1, median, Q3, max so the second value is Q1
Vane11
  • Vane11
so it'd be both 90 and 35 right?
Vane11
  • Vane11
and thanks for explaining the 5 number summary :)
jim_thompson5910
  • jim_thompson5910
correct, you have 2 outliers (one too low, the other too high)
jim_thompson5910
  • jim_thompson5910
and yw

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