Question

crm.dsr.6.2 calculate, compare, and interpret shape, center, and spread of two or more univariate data sets, accounting for possible effects of extreme data points. 3. describe the shape: 4. describe the spread:

Explanation:

Question 3: Describe the shape:

The histogram (the left - hand graph) has a longer tail on the left side. In terms of the distribution of data, when the left tail is longer, the distribution is skewed to the left (negatively skewed). We can observe that the frequency of data increases as we move towards the right, and the left - hand side has a more extended "tail" of lower - frequency data points.

Looking at the dot - plot (the right - hand graph), we can see that the data points are spread out from the value of 1 to 7. To describe the spread, we can consider the range (the difference between the maximum and minimum values) or the overall distribution of the data points. The range here is calculated as the maximum value minus the minimum value. The minimum value of the data (from the dot - plot) is 1 and the maximum value is 7, so the range is $7 - 1=6$. Also, we can observe that the data is not evenly distributed; there are clusters at 1, 2, 6 and fewer points at 3, 4, 7, but the overall spread (in terms of the range of values covered) is from 1 to 7.

Answer:

The distribution shown in the histogram is left - skewed (negatively skewed). The left tail of the histogram is longer, meaning there are relatively more data points with lower values (extending the left side), and the main body of the data is concentrated towards the right.

Question 4: Describe the spread: