Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

calculating statistics on line plots find the median of the number of p…

Question

calculating statistics on line plots find the median of the number of pizza toppings per pizza recorded on the line plot.

Explanation:

Step1: Count data points

There is 1 '2', 3 '3's, 1 '3.5', 4 '4.5's, 1 '6'. So in total, there are $1 + 3+1 + 4+1=10$ data - points.

Step2: Use median formula for even number of data points

For an even number of data - points $n = 10$, the median is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+1)$th ordered data points. $\frac{n}{2}=\frac{10}{2}=5$ and $\frac{n}{2}+1 = 6$.

Step3: Order data and find median values

Ordering the data, the 5th and 6th values are both '4.5'. The average of 4.5 and 4.5 is $\frac{4.5 + 4.5}{2}=4.5$.

Answer:

4.5