Question

HURRY THIS PERSON WILL RECEIVE 100 POINTS!!!!1

Items at a large warehouse were sampled and data recorded. The weights (in ounces) of 10 bags of popcorn were:

15.9, 16.2, 15.8, 15.9, 16.0, 16.1, 15.9, 16.0, 16.2, 16.1

Which of the following is the best type of display for the data if the exact mean must be calculated? Explain your reasoning.

Histogram; it lists exact data values in a compact form
Stem-and-leaf plot; there is a large data set, and approximate values of individual data points are displayed
Histogram; there is a large data set, and approximate values of individual data points are displayed
Stem-and-leaf plot; it lists exact data values in a compact form

Answer 1

Answer:

D) Stem-and-leaf plot; it lists exact data values in a compact form.

Step-by-step explanation:

If we want to calculate the exact mean of the data, a stem-and-leaf plot is generally more suitable than a histogram.

A stem-and-leaf plot organizes data in a way that retains the exact values of each data point while still providing a compact representation. It displays each data point individually, making it suitable for calculating the exact mean.

A histogram is useful for visualizing the distribution of data and provides an overview of the shape, center, and spread, but it doesn't list individual data values explicitly.

Therefore, the best type of display for the data if the exact mean must be calculated is:

• Stem-and-leaf plot; it lists exact data values in a compact form.

$\hrulefill$

A stem-and-leaf plot of the given data:

$\begin{array}{c|l}\vphantom{\dfrac12}\sf Stem&\sf Leaf\\\cline{1-2}\vphantom{\dfrac12}15& 8\;\; 9\;\;9\; \;9\\\vphantom{\dfrac12}16&0\;\; 0\;\; 1 \;\;1\;\;2\;\;2\end{array}$

Key: 15 | 8 means 15.8