Exam 3: Descriptive Statistics

All fourth-grade students in a Little City School were asked to participate in a reading contest to see which students could read the most books in a three-month period. At the end of the three months, the winners were determined. The ten students who read the most books were awarded prizes. On the final day of the contest, the students anxiously looked at the list where the names were in___, from the highest number of books read to the lowest.

Why is the following set of data interesting? 22, 47, 88, 62, 65, 22, 63, 89, 55, 74, 88, 99, 44, 65, 100.

Describe what a normal distribution is and why is it important in understanding student performance?

This scale is used for direct comparisons and mathematical manipulations. The numbers on the scale are equidistant from each other and have a true meaning of absolute zero.

Using the data set below, answer the questions that follow. -What is the mode?

Using the data set below, answer the questions that follow. -What is the range?

In order for a score to be considered significant it must be at least two standard deviations from the mean.

Draw pictures of a negatively skewed distribution and a positively skewed distribution. Explain each.

Using a standard deviation of 15 IQ points, a person with an obtained IQ score of 115 would have a z score of:

Which scale(s) can be added and subtracted but not multiplied?

If the heights of all fifth-grade elementary students in one large city were measured, in what manner would the resulting data be displayed?

What are some possible considerations when interpreting results which contain distributions that are positively or negatively skewed?

Define and provide an example of the four different numerical scales.

A multimodal distribution means that there are three or more modes.

The number of times a score occurs in a distribution can be determined by completing a frequency count.

Using the information below, answer the questions that follow. Miss Bridget teaches in a small learning support class. The follow are the data from a recent math assessment from three of her students: 84, 80, 74. -What is the standard deviation?

This term is used when a national sample of students of the same age/grade take the same assessment and establish a mean and standard deviation.

Large sets of data are organized and understood through methods known as Measures of Central Tendency.

There is great debate in the field regarding the types of scores yielded from assessments. Which scores do you think will be most valuable to you? Why?

Students who participated in the science fair were ranked by category and received first-, second-, and third-place ribbons. This is an example of what type of scale?