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Compare the mean and median of the dataset.

Mathematics

ScanSolve AI Answer

Answer

Right skewed\text{Right skewed}

Step-by-step solution

3 steps
  1. Compare the mean and median of the dataset.

    Given:
    Mean =50= 50
    Median =40= 40

  2. Determine the skewness based on the relationship between the mean and median.

    If the mean is greater than the median, the distribution is right-skewed (or positively skewed). This means the tail of the distribution extends more to the right.
    If the mean is less than the median, the distribution is left-skewed (or negatively skewed). This means the tail of the distribution extends more to the left.
    If the mean is approximately equal to the median, the distribution is symmetrical (e.g., normal distribution).

    In this case, 50>4050 > 40, so the mean is greater than the median.

  3. Conclude the shape of the distribution.

    Since the mean is greater than the median, the distribution is right-skewed.

    The final answer is Right skewed\text{Right skewed}.

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