The histogram is symmetrical as the shape to the left and right of a vertical line is mirror images of each other.
The histogram displays a symmetrical distribution of data.
A distribution is symmetrical if a vertical line can be drawn at some point in the histogram such that the shape to the left and the right of the vertical line are mirror images of each other.
The mean, the median, and the mode are each seven for these data.
In a perfectly symmetrical distribution, the mean and the median are the same.
A skewed distribution can be skewed to the left or to the right.
In the given data, the histogram is not skewed right (skewed to the right), as the right-hand side seems chopped off compared to the left-hand side.
However, it is also not skewed left (skewed to the left), as skewed left distributions have more high values.
Therefore, we can conclude that the histogram representing the distribution of scores in the assessment is symmetrical.
The probable question may be:
Describe the shape of the histogram representing the distribution of scores in a assessment, where the bins are categorized as follows: 1-10, 11-20, 21-30, 31-40, 41-50, 51-60, 61-70, 71-80, 81-90, and 91-100. The frequency of scores is provided for each bin: 18, 16, 14, 12, 10, 27, 61-70. Based on this information, determine whether the histogram is skewed right, skewed left, symmetrical, or uniform.