Question

question #4
which of the following statements is most correct regarding normally distributed data?
there is a large group of data to the left, with decreasing amounts to the right.
there is a large group of data to the right, with decreasing amounts to the left.
there is a small group of data in the center, with increasing amounts to the left and right of the middle.
there is a large group of data in the center, with decreasing amounts to the left and right of the middle.

question #5
a frequency distribution can always be used to generate the original set of data.
true false

Explanation:

Question #4

Step1: Recall the shape of normal distribution

A normal distribution is symmetric about the mean. It has a large group of data near the center (mean), and the amounts of data decrease as we move to the left and right of the center.

Step2: Analyze each option

• Option 1: This describes a right - skewed distribution (not normal).
• Option 2: This describes a left - skewed distribution (not normal).
• Option 3: In a normal distribution, the amount of data near the center is large, not small.
• Option 4: This is the correct description of a normal distribution.

Question #5

Step1: Understand the nature of frequency distribution

A frequency distribution shows the number of times each value or class of values occurs. But it does not store the actual values in their original order or with all the details of the original data set. For example, if we have a frequency distribution like: class \(1 - 10\) with frequency \(5\), we don't know if the data points were \(2,3,5,7,9\) or \(1,4,6,8,10\) etc.

Answer:

Question #4: There is a large group of data in the center, with decreasing amounts to the left and right of the middle.
Question #5: False