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Question


Choose the two valid statements based on the data in the dot plots.
Responses
A Supplier A has a greater median data value than Supplier B.Supplier A has a greater median data value than Supplier B.
B Supplier A has a greater interquartile range than Supplier B.Supplier A has a greater interquartile range than Supplier B.
C Supplier B has a greater mean value than Supplier A.Supplier B has a greater mean value than Supplier A.
D Supplier A has less variance in data than Supplier B.Supplier A has less variance in data than Supplier B.
E Supplier B has fewer outliers than Supplier A.

1 answer

To determine which statements are valid based on the dot plots of Supplier A and Supplier B, let's break down each statement:

A. Supplier A has a greater median data value than Supplier B.

  • Check the median values for both suppliers on the dot plots to see if this holds true.

B. Supplier A has a greater interquartile range than Supplier B.

  • Analyze the data to compare the interquartile ranges (IQR) for both suppliers.

C. Supplier B has a greater mean value than Supplier A.

  • Calculate or observe the mean values from the dot plots for both suppliers.

D. Supplier A has less variance in data than Supplier B.

  • Evaluate the spread of the data points for both suppliers to determine the variance.

E. Supplier B has fewer outliers than Supplier A.

  • Examine the dot plots for the number of outliers in each dataset.

To identify the two valid statements, you need to closely analyze the dot plots to extract the necessary statistical values: medians, interquartile ranges, means, variances, and the presence of outliers. Assuming you have access to the plots and based on typical data analysis, here’s a guide to make your selections:

  1. Identify the median for both suppliers.
  2. Calculate the IQR for both suppliers by determining the first (Q1) and third quartiles (Q3).
  3. Compute or identify the mean values visually or through calculation.
  4. Assess the spread of the data for variance.
  5. Count the outliers for both suppliers.

Once you have this information, select the two statements that accurately reflect the comparisons based on your analysis. If you prefer, please provide specific data points or observations, and I'll assist you further!