10) the dot plot below shows the number of goals jessica scored in each lacrosse game last season. determine…

Explanation:

Step1: Count data - points

There are 3 + 2+ 4 + 5+ 2+ 2+ 1 = 19 data - points.

Step2: Calculate the mean

The data set is: 0 (3 times), 1 (2 times), 2 (4 times), 3 (5 times), 4 (2 times), 5 (2 times), 6 (1 time). The sum of the data is (0\times3 + 1\times2+2\times4 + 3\times5+4\times2+5\times2+6\times1=0 + 2+8 + 15+8+10+6=49). The mean (\bar{x}=\frac{49}{19}\approx2.58).

Step3: Find the median

Since there are 19 data - points (an odd number), the median is the (\left(\frac{19 + 1}{2}\right)=10^{th}) ordered data - point. Counting the data points in ascending order: 3 zeros, 2 ones, 4 twos, so far we have (3 + 2+4 = 9) data - points. The 10th data - point is 3. So the median is 3.

Step4: Determine the mode

The mode is the value that appears most frequently. The value 3 appears 5 times, more frequently than any other value. So the mode is 3.

Answer:

Mean: (\approx2.58), Median: 3, Mode: 3