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The data show the time
in seconds, that
members of a track
team ran 100 meters:
  • Identify the outlier.
  • Find the mean,
    median and mode.
    Mean- mode-
    Median-
  • Which measure of
    center is affected by
    the outlier?

Ask by Young Potter. in the United States
Mar 20,2025

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Outlier: 19
Mean: ≈11.57
Median: 11
Mode: 11
Measure of center affected by the outlier: Mean

Solución

Step 1. Identify the Outlier
Given the data:
We observe that all values are around 9–11, except . Thus, the outlier is:
Step 2. Calculate the Mean
The mean is calculated by summing all values and dividing by the number of values.
Step 3. Determine the Median
First, arrange the data in ascending order:
Since there are 7 numbers (an odd amount), the median is the middle value (4th value):
Step 4. Find the Mode
The mode is the value that appears most frequently. From the ordered data:
The value appears 3 times, which is more than any other value. Thus:
Step 5. Identify Which Measure of Center is Affected by the Outlier
The mean is calculated using all the data values; therefore, the high value (the outlier) increases the overall sum, pulling the mean upward. In contrast, the median and mode are less affected since they depend on the order and frequency of values rather than their magnitude.
Final Answers:
  • Outlier:
  • Mean:
  • Median:
  • Mode:
  • Measure of center affected by the outlier: Mean

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Beyond the Answer

In the given data set, the outlier is clearly the value , as it is considerably higher than the other times. This suggests that it could be a mistake or an exceptional circumstance for that particular run.
To find the mean, add all the values: . Then divide by the number of observations (7), which gives you a mean of approximately . The median is the middle value when the data is ordered: , placing in the center. The mode, the most frequently occurring value, is also . Thus, we have:
Mean -
Mode -
Median -
The measure of center most affected by the outlier is the mean, as the outlier skews the average significantly higher.

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