Question

question #14
a frequency distribution is to be constructed with the following data. if five classes are to be constructed, determine the class width.
203, 200, 201, 224, 287, 316, 187, 249, 285, 198, 269, 274, 317, 312, 194, 193, 303, 220, 314, 313
24
21.2
26
29.4

question #15
which of the following statements is most correct regarding normally distributed data?
there is a large group of data to the right, with decreasing amounts to the left.
there is a large group of data to the left, with decreasing amounts to the right.
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.

Explanation:

Question #14

Step1: Find the maximum and minimum values

The maximum value \( M = 317 \), the minimum value \( m=187 \)

Step2: Calculate the range

The range \( R = M - m=317 - 187 = 130 \)

Step3: Calculate the class width

The number of classes \( k = 5 \). The class width \( w=\frac{R}{k}=\frac{130}{5}=26 \)

A normal distribution is symmetric about the mean. The data is clustered around the center (mean). As we move away from the center (either to the left or to the right), the frequency of data points decreases.

Answer:

26

Question #15