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A group of friends count the coins they have in their pockets. They record how many cents they each have in dimes

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A group of friends count the coins they have in their pockets. They record how many cents they each have in dimes. Another friend counts his coins and has 2 dimes. If 20 is added to the line plot, what effects will it have on the mean and median?




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1 Answer

  1. Answer:

    • The mean will increase.
    • The median will remain the same.

    Explanation:

    1. Mean:
      • The mean is the average of all data points. Adding a value of 20 (which is higher than most of the data points) will increase the total sum of all values and subsequently increase the mean.
    2. Median:
      • The median is the middle value of the data when arranged in order. Adding an outlier like 20 does not significantly affect the median unless it shifts the middle position. In this case, the outlier does not alter the middle value in the sorted list.