Question

the stem and leaf plot shows the number of items in each of the 12 collections in a museum. stem leaf 0 3 3 5 7 9 1 2 2 3 3 3 2 6 3 9 key: 2 | 6 represents a collection with 26 items in it. here is the five - number summary for these data: five - number summary min q1 median q3 max 3 6 12 13 30 according to the 1.5·iqr rule for outliers, how many high outliers are there in the data set? choose 1 answer:

Explanation:

Step1: Calculate the IQR

The inter - quartile range (IQR) is $Q_3 - Q_1$. Given $Q_1 = 6$ and $Q_3=13$, so $IQR=13 - 6=7$.

Step2: Calculate the upper fence

The upper fence for outliers is $Q_3+1.5\times IQR$. Substitute $Q_3 = 13$ and $IQR = 7$ into the formula: $13+1.5\times7=13 + 10.5=23.5$.

Step3: Count high outliers

The data values from the stem - and - leaf plot are 3, 3, 5, 7, 9, 12, 12, 13, 13, 13, 26, 39. Values greater than 23.5 are 26 and 39. So there are 2 high outliers.

Answer:

2