Question

create a box - and whisker plot and give the five - number summary for each data set. number of grams of fat in 9 sandwiches on a menu at a restaurant: {35, 16, 19, 25, 12, 22, 39, 28, 14}

Explanation:

Step1: Sort the data

$12,14,16,19,22,25,28,35,39$

Step2: Find the minimum

The smallest value is $12$.

Step3: Find the lower quartile (Q1)

The first half of the data is $12,14,16,19$. The median of this half is $\frac{14 + 16}{2}=15$.

Step4: Find the median (Q2)

Since there are 9 data - points, the median is the 5th value, which is $22$.

Step5: Find the upper quartile (Q3)

The second half of the data is $25,28,35,39$. The median of this half is $\frac{28+35}{2}=31.5$.

Step6: Find the maximum

The largest value is $39$.

Answer:

Minimum: $12$
Lower Quartile: $15$
Median: $22$
Upper Quartile: $31.5$
Maximum: $39$