If all 20 students joined the same event, the shape of the histogram will change as compared to the original. A.) The Chili Cook-off would be more skewed and D.) The Pie Eating Contest would be less symmetrical.
What is a skewed histogram?
- If most of the data are on the left side of the histogram but a few larger values are on the right, the data are said to be skewed to the right.
- If most of the data are on the right, with a few smaller values showing up on the left side of the histogram, the data are skewed to the left.
If 20 students get added to the 0-19 age group in Chili Cookoff contest, the frequencies of the number of students would be 50, 50, 40, 10. Since, the frequencies are decreasing with increasing age group, the histogram is skewed.
What is symmetric histogram?
If the data are symmetric, histogram have about the same shape on either side of the middle. In other words, if you fold the histogram in half, it looks about the same on both sides.
If we add 20 to the 0-19 age group in Pie eating contest, the frequencies of the number of students would be 40, 40, 60, 50. Since the frequencies are monotonically increasing and then decreasing, the histogram is symmetrical but it doesn't look exactly same on either side.
Learn more about symmetric and skewed histogram here
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