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Pls help with stats

Pls help with stats-example-1

1 Answer

10 votes

Answers:

  1. Exactly 25%
  2. median = 450
  3. Not enough info (see below)
  4. IQR = 24
  5. IQR = 192

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Explanations:

  1. By definition, the quartiles split the data into four equal parts. The first quartile (Q1) will have 25% of the data below it.
  2. The second quartile is the exact same value as the median. This is because the median splits the data into two equal halves, i.e. is at the midpoint.
  3. There's not enough info. We can determine that 25% of the company makes more than $60,000, but we don't know how many people total work at the company. This info is missing.
  4. Subtract the third and first quartiles (Q3 and Q1) to get the interquartile range (IQR). So IQR = Q3 - Q1 = 45-21 = 24
  5. Same idea as the previous problem. IQR = Q3 - Q1 = 316.5 - 124.5 = 192
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