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The dot plots below show the test scores of seventh- and eighth-grade students: Dot plot for Grade 7 shows 4 dots on score 60, 6 dots on score 70, 4 dots on score 80 and 6 dots on score 90. Dot plot for Grade 8 shows 5 dots on score 50, 7 dots on score 60, 4 dots on score 70, and 4 dots on score 80. Based on visual inspection of the dot plots, which grade, if any, appears to have the higher mean score? Grade 7 Grade 8 Both groups show about the same mean score. No conclusion about mean score can be made from the data.

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On visual inspection of the dot plot, the grade that will display a higher mean score is: Grade 7.

What is the Mean of a Data Set in a Dot Plot?

Mean = sum of all values in the data set ÷ number of data values.

Find the mean score for Grade 7 given the dot plot described above:

60 × 4 = 240

70 × 6 = 420

80 × 4 = 320

90 × 6 = 540

Sum of all values = 240 + 420 + 320 + 540 = 1,520

Number of data values = 4 + 6 + 4 + 6 = 20

Mean score for Grade 7 = 1,520/20 = 76

Find the mean score for Grade 8 given the dot plot described above:

50 × 5 = 250

60 × 7 = 420

70 × 4 = 280

80 × 4 = 320

Sum of all values = 250 + 420 + 280 + 320 = 1,270

Number of data values = 5 + 7 + 4 + 4 = 20

Mean score for Grade 7 = 1,270/20 = 63.5

The mean score for Grade 7 is higher than that of Grade 8, therefore, on visual inspection of the dot plot, the grade that will display a higher mean score is: Grade 7.

Learn more about dot plot on:

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