Question

what is the center of the data in the dot plot? number of science homework assignments each week

Explanation:

Step1: Calculate the mean.

First, find the sum of the products of each value and its frequency. There are 3 dots at 0, 2 dots at 1, 5 dots at 2, 3 dots at 3, 1 dot at 4 and 7 dots at 5. The sum of products is \(3\times0 + 2\times1+5\times2 + 3\times3+1\times4 + 7\times5=0 + 2+10 + 9+4 + 35 = 60\). The total number of data - points is \(3 + 2+5 + 3+1+7=21\). The mean is \(\frac{60}{21}\approx2.86\).

Step2: Find the median.

Arrange the data in ascending order. There are 21 data - points. The median is the 11th value when ordered. Counting the dots: 3 (at 0) + 2 (at 1)+5 (at 2)=10. The 11th value is 3.
Since the mean is approximately 2.86 and the median is 3, and we often use the median as a measure of the center for non - symmetric data (and this data seems non - symmetric), the center of the data is 3.

Answer:

3