Question

what is an advantage of using a stem-and-leaf plot instead of a histogram? what is a disadvantage?

what is an advantage of using a stem-and-leaf plot instead of a histogram?

a. stem-and-leaf plots contain original data values where histograms do not.
b. stem-and-leaf plots graph qualitative data where histograms do not.
c. stem-and-leaf plots easily organize data of all sizes where histograms do not.
d. stem-and-leaf plots show data clusters where histograms do not.

what is a disadvantage of using a stem-and-leaf plot instead of a histogram?

a. histograms easily organize data of all sizes where stem-and-leaf plots do not.
b. histograms contain original data values where stem-and-leaf plots do not.
c. histograms show data clusters where stem-and-leaf plots do not.
d. histograms graph quantitative data where stem-and-leaf plots do not.

Explanation:

Analyze the advantage of a stem-and-leaf plot

A stem-and-leaf plot preserves the individual, original data values within its structure (the leaves represent the actual units digit or decimal place of each data point). In contrast, a histogram groups data into intervals (bins), which aggregates the data and loses the specific individual values.

Analyze the disadvantage of a stem-and-leaf plot

A stem-and-leaf plot becomes highly cluttered, difficult to construct, and hard to read when dealing with very large datasets. Histograms, however, can easily handle and organize datasets of any size by simply adjusting the bin widths and counting frequencies, making them much more suitable for large data volumes.

Answer:

Question 1

• (A) Stem-and-leaf plots contain original data values where histograms do not. (Correct answer)
• (B) Stem-and-leaf plots graph qualitative data where histograms do not.
• (C) Stem-and-leaf plots easily organize data of all sizes where histograms do not.
• (D) Stem-and-leaf plots show data clusters where histograms do not.

Question 2

• (A) Histograms easily organize data of all sizes where stem-and-leaf plots do not. (Correct answer)
• (B) Histograms contain original data values where stem-and-leaf plots do not.
• (C) Histograms show data clusters where stem-and-leaf plots do not.
• (D) Histograms graph quantitative data where stem-and-leaf plots do not.