Question

the stem and leaf plot shows the daily protein intake of 53 omnivores and 51 vegetarians. what is the absolute difference between the medians of the two data sets? answer: \square

Explanation:

Step1: Find omnivore median position

For $n=53$, median position is $\frac{53+1}{2}=27$th value.

Step2: Count to omnivore median

Count 27 values in omnivore column: the 27th value is 50.

Step3: Find vegetarian median position

For $n=51$, median position is $\frac{51+1}{2}=26$th value.

Step4: Count to vegetarian median

Count 26 values in vegetarian column: the 26th value is 45.

Step5: Calculate absolute difference

Subtract values and take absolute value: $|50 - 45|$

Answer:

5