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question 4 (multiple choice worth 6 points) (01.05hlc) a doctor was int…

Question

question 4 (multiple choice worth 6 points) (01.05hlc) a doctor was interested in the weights of all 16 - year - olds in the state of colorado. she gathered data from a random sample of 100 pediatricians in the state and wanted to create an appropriate graphical representation for the data. which graphical representation would be best for her data? circls graph bar chart line plot stem - and - leaf plot

Explanation:

Step1: Analyze each graph type

  • Circle graph (Pie chart): Used for showing proportions of a whole. Not suitable for showing distribution of weights.
  • Bar chart: Used for comparing categories. Weights are continuous data, not categories.
  • Line plot: Shows frequency of data along a number line, good for small to medium data sets to show distribution. But stem - and - leaf plot is better for showing the actual data values and their distribution.
  • Stem - and - leaf plot: Displays the distribution of data while also showing the actual data values. For the weights of 16 - year - olds, it can show the spread and shape of the weight data effectively.

Step2: Eliminate inappropriate options

  • Circle graph is out as it's for proportions.
  • Bar chart is out as it's for categorical comparison.
  • Line plot is less effective than stem - and - leaf for showing the actual data points and their distribution in a sample of 100 (a medium - sized data set).
  • Stem - and - leaf plot is suitable for showing the distribution of continuous data (weights) and also preserving the individual data values' information.

Answer:

Stem - and - leaf plot