Question: A teacher collected a random sample of 100 students' average mathematics grades. He randomly chose four students and found their average grade and repeated that

A teacher collected a random sample of 100 students' average mathematics grades. He randomly chose four students and found their average grade and repeated that process 100 times. The highest possible grade is 100 points. Then he analyzed using the relative frequency histogram. The following histogram shows a probability sampling distribution for the sample mean of students grades based on random samples of size 4. The given distribution is mound-shaped. How will the curve change if the teacher used a larger number of classes and if the sample of students became much larger? Group of answer choices The shape of the histogram will be skewed left if the teacher increases the sample size. Furthermore, the irregularities will become more obvious. The shape of the histogram will be skewed right if the teacher increases the sample size. Furthermore, the irregularities will become more obvious. The shape of the histogram will become more bell-shaped if the teacher increases the sample size. Furthermore, the irregularities will become less obvious and even disappear. The shape of the histogram will be uniform if the teacher increases the sample size. Furthermore, the irregularities will become less obvious and even disappear

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