Step 1: Let's recall what are the formulas of the mean, mode, median and range for a data set:
• Mean : We add up all the values given and divide the result by the number of values
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• Mode: The value or values that repeat the most
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• Median: It is the (n + 1/2) value of the data set for odd number of values of observations
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• Range: It is the difference between the highest and lowest values in the set.
Step 2: That being said, we can calculate these measures for the 17 values given:
• Mean = 257/17 (You can finish the calculation, Whatever)
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• Mode = As you can see there are 3 values that repeats 3 times: 13, 15 and 17. Those are the modes.
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• Median = From left to right count the 9th value of the data set, that is the median.
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• Range = Let's calculate the difference between the highest value (35) and the lowest (10) 35 - 10 (You can finish the calculation)
Step 3: Now, we remove the outlier, 35, and let's see the effect on the measures:
• Mean = 222/16 (You can finish the calculation, Whatever)
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• Mode = As you can see there are 3 values that repeats 3 times: 13, 15 and 17. Those are the modes. No changes.
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• Median = From left to right count the 8th and 9th value of the data set, divide the sum of the two values by 2 and that is the median.
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• Range = Let's calculate the difference between the highest value (17) and the lowest (10) 17 - 10 (You can finish the calculation)
Step 4: After you finish the calculations, you will compare if the result of the measures, it has increased, decreased or didn't change.
Student became unresponsive. He can't confirm then, if the solution is understood.
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