Final answer:
A positively skewed distribution, or right-skewed distribution, indicates that there are a number of points far from the mean on the right side. The given set is positively skewed with the median at 45, suggesting that half of the scores lie below and above 45. Skewness shows the distribution and balance of your data.
Step-by-step explanation:
The given dataset in the question consists of values ranging from 0 to 100, with a median value of 45, and is positively skewed. In a positively skewed distribution, the right tail of the distribution is longer or stretched out, indicating that there are a number of points far from the mean on the right side. It implies that the mean is greater than the median, which is greater than the mode.
The median of a dataset is the middle number when the data is sorted in order. Since the median is given as 45, half the scores in your data lie below 45 and half lie above 45. However, because the data is positively skewed, the balanced point does not represent the typical value. This is due to the considerable influence of the high values in the distribution, which pull the mean upwards.
In general, Skewness reveals the distribution and balance of your data. Positive skew, or right skew, signifies a long tail on the right where your extreme high values are, a bulk of the rest of your scores are to the left of your tail, and the mean is also to the right of the peak.
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