Summary Statistics for a Quantitative Variable

AP Statistics· difficulty 3/5

A data set has Q1 = 22, Q3 = 38. A student wants to identify potential outliers using the 1.5×IQR rule.

Quartile Information Q1 = 22 Q3 = 38 IQR = ? Apply 1.5 × IQR rule

According to the 1.5×IQR rule, a value is an outlier if it is below or above which thresholds?

  • A

    Below −2 or above 62

    check_circle
  • B

    Below 6 or above 54

  • C

    Below −16 or above 76

  • D

    Below 22 or above 38

Explanation

IQR = 38 − 22 = 16. Lower fence = 22 − 1.5(16) = −2. Upper fence = 38 + 1.5(16) = 62.

Want 10 more like this — adaptive to your weak spots?

Related questions