Given the first type of plot indicated in each pair: which of the second plots could not always be generated from it? a. dot plot, box plot b. histogram, stem and leaf c. stem and leaf dot plot d. dot plot, histogram

C

Step-by-step explanation:

Dot plot is usually in the form of stem & leaf. The only difference is that, stem& leaf presents the actual values while dot plot usually represent the value in dots. Hence, we can easily generate dot plot from stem & leaf!

For (a) dot plot and box plot, dot plot presents all the data while box plot presents only the five-num statistics, namely:

1. minimum

2. 1st quartile (Q1)

3. median

4. 3rd quartile (Q3)

5. Maximum

And outliers, if any!

Thus, dot plot cannot directly generate box plot

For (b). Histogram and stem & leaf. Although both usually help us understand the skewness of data distribution, however, histogram deals with frequency distribution (counts of number of occurrence) and plotted on the intervals and stem&leaf list the values.

For (d). Even though dot plot shoots up and down like the histogram, the content is different. In dot plot, it is the actual value represented in dots. But in histogram, it is the frequency distribution of the class intervals.