For a physics course containing 11 students, the maximum number of points that could be earned in the first quarter was 200. The point totals for the 10 students are given in the stemplot below.

Question

11 | 6 8
12 | 1 4 8
13 | 0 3 7
14 | 2 6
15
16
17 | 9

KEY: 12 | 1 = 121 points
The distribution is strongly skewed to the left
The center is 130
There are 2 low outliers
The spread of the data is from 11 to 179

Answer 1

The stemplot shows that the lowest score in the data set is 11 and the highest score is 179. The center of the data, or the median, is 130.

There are 10 data points given in the stem plot, and since the course contains 11 students, we are missing one data point. The missing data point could be 15, which would make the data symmetric or evenly distributed around the center of 130.

There are two low outliers in the data set, indicated by the values 11 and 15 being significantly lower than the rest of the data.

The spread of the data is from 11 to 179, giving a range of 168 points. This indicates the variability or dispersion of the data.

Overall, the data set is strongly skewed to the left, with more data points clustered towards the higher end of scores.