Question

here is the five - number summary for these data:
five - number summary
min q₁ median q₃ max
4 9 10 13 20
according to the (1.5cdot\text{iqr}) rule for outliers, how many high outliers are there in the data set?
choose 1 answer:
a 0
b 1

Explanation:

Step1: Calculate IQR

$IQR = Q_3 - Q_1 = 13 - 9 = 4$

Step2: Find high outlier threshold

$\text{Upper bound} = Q_3 + 1.5 \times IQR = 13 + 1.5 \times 4 = 13 + 6 = 19$

Step3: Count values above upper bound

Values in the data set greater than 19: only 20.

Answer:

B. 1