The Following Class Intervals for a Frequency Distribution Were Developed

question 23

Multiple Choice

The following class intervals for a frequency distribution were developed to provide information regarding the starting salaries for students graduating from a particular school: $$\begin{array} { l c } \begin{array} { l } \text { Salary } \\\text { (\$1,000s) }\end{array} & \text { Number of Graduates } \\\text { 28-under 31 } & - \\\text { 31-under 35 } & - \\\text { 34-under 37 } & - \\\text { 39-under 40 } & -\end{array}$$
Before data were collected, someone questioned the validity of this arrangement.Which of the following represents a problem with this set of intervals?

• A)There are too many intervals.
• B)The class widths are too small.
• C)Some numbers between 28,000 and 40,000 would fall into two different intervals.
• D)The first and the second interval overlap.
• E)There are too few intervals.

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Definitions:

Negatively Skewed

A distribution with a tail that extends to the left, indicating that the majority of the data points are located towards the right of the mode.

Distribution

In statistics, the way in which data or values are spread or distributed across possible values or intervals.

Normal Distribution

A symmetric, bell-shaped distribution of data where most of the observations cluster around the central peak and the probabilities for values further away from the mean taper off equally in both directions.

Standard Deviations

A measure of the amount of variation or dispersion in a set of values, indicating how spread out the data points are from the mean.