Deck 3: Descriptive Statistics

Question 1

Derived scores allow professionals to compare how a student performed on a task in comparison with a larger group.

Answer 1

True

Question 2

The mean, median, and mode make up ___.

Answer 2

R. Descriptive Statistics

Question 3

A set of data has a symmetrical distribution of scores with the mean, median, and mode represented by the number 82. This set of data represents a ___.

Answer 3

T. Normal Distribution

Question 4

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.

Question 5

The ribbons awarded in a painting contest illustrate which scale?

Question 6

In this set of data, what measures of central tendency are represented by the number 77? 65, 66, 82, 95, 77.

Question 7

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

Question 8

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

Question 9

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

Question 10

A seventh-grade pre-algebra class completed the first test of the new school year. Here are the data resulting from the first test: 100, 99, 95, 90, 89, 85, 84, 82, 81, 80, 79, 78, 77, 76, 70, 68, 65, 62, 60, 59, 55. In this set of data, what does the number 45 represent?

Question 11

In a university, all students are given a new student identification number upon registration. These numbers are on what scale?

Question 12

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

Question 13

The following set of data has what type of distribution? 88, 33, 78, 56, 44, 37, 90, 99, 76, 78, 77, 62, 90?

Question 14

In a normal distribution, most students' scores fall at the edges of the bell curve.

Question 15

Rank order the following data. Complete a frequency distribution and a frequency polygon. Calculate the mean, median, and mode. Find the range, variance, and standard deviation. Identify scores that are significantly above or below the mean.
Data Set:
85, 85, 99, 63, 60, 97, 96, 95, 58, 70, 72, 92, 89, 87, 74, 74, 74, 85, 84, 78, 84, 78, 84, 78, 86, 82, 79, 81, 80, 86

Question 16

What term describes a set of data in which the mean is less than the most frequently occurring scores?

Question 17

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

Question 18

Numbers pinned on the shirts of runners in a marathon are numbers used on the ___ scale.

Question 19

The ___ scale has a true meaning of absolute zero.

Question 20

Measuring with a thermometer is an example of using numbers on the ___scale.

Question 21

Variance is described as the degree or amount of dispersion in a data set.

Question 22

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?

A) Ratio
B) Interval
C) Ordinal
D) Nominal

Question 23

Organizing data to see how the data spread away from the mean is called which of the following?

A) Measures of Dispersion
B) Measures of Central Tendency
C) Frequency
D) Normal Distribution

Question 24

When students enroll in school and are provided with an identification number-a combination of letters and numbers-this number is which scale?

A) Ratio
B) Interval
C) Ordinal
D) Nominal

Question 25

Median is another name for simple average.

Question 26

This scale's numbers are used for identification that ranks greater or lesser quality or amount. The numbers are equidistant on the scale.

A) Ratio
B) Interval
C) Ordinal
D) Nominal

Question 27

The square root of the variance is the sum of squares.
Multiple Choice

Question 28

What is the standard deviation?

A) 4.11
B) 10
C) 79.33
D) 16.8889

Question 29

Organizing data to see how the data cluster is called which of the following?

A) Measures of Dispersion
B) Measures of Central Tendency
C) Frequency
D) Normal Distribution

Question 30

A graph of class data is below. What is this type of graph called?

A) Frequency distribution
B) Normal distribution
C) Bell curve
D) Frequency polygon

Question 31

What does the vertical line in the normal distribution represent?

A) Median
B) Mode
C) Mean
D) Central tendency
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.

Question 32

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

Question 33

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.

A) Ratio
B) Interval
C) Ordinal
D) Nominal

Question 34

It is possible for the mean score of a data set to become influenced by an extreme score in the data.

Question 35

An individual with an IQ of 70 may be classified as which of the following?

A) Learning disability
B) Gifted
C) Mental intellectual disability
D) Autism

Question 36

Which of the following indicates a raw score?

A) Total test items = 25
B) Correct answers = 20
C) Incorrect answers = 5
D) Ratio = 20/25

Question 37

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

Question 38

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.

A) Norm-referenced
B) Standardized
C) Derived scores
D) Measures of central tendency

Question 39

An individual with an IQ of 130 may be classified as which of the following?

A) Learning disability
B) Gifted
C) Mental retardation
D) Autism
Using the data set below, answer the questions that follow.

Question 40

What is the variance?

A) 4.11
B) 10
C) 79.33
D) 16.8889

Question 41

A person who scores at the 85%tile scored as well or better than which of the following groups?

A) 14% of the students in that age/grade
B) 84% of the students in that age/grade
C) 85% of the students in that age/grade
D) 15% of the students in that age/grade

Question 42

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

Question 43

What is the median?

A) 69
B) 76
C) 26
D) 67

Question 44

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

Question 45

What is the percentile rank that is equivalent to the mean?

A) 20
B) 50
C) 80
D) 90
Short Answer

Question 46

Discuss at least five different mistakes that are easily made by professionals in the process of identifying students with special needs.

Question 47

What type of score is derived when scores are divided into 10 groups, and each group represents 10% of the obtained scores?

A) Decile
B) T-score
C) Stanine
D) z score

Question 48

What is the range?

A) 50
B) 76
C) 26
D) 63

Question 49

What is a mean difference? Why is it important to know what a mean difference is?.

Question 50

Explain how a mean score can be influenced by extremely high or extremely low scores in a data set.

Question 51

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

Question 52

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

A) +1
B) +2
C) 0
D) −1

Question 53

When the mean score is represented as ± 2, what type of score is this?

A) Decile
B) T-score
C) Stanine
D) z score

Question 54

What is the approximate mean?

A) 69
B) 63
C) 26
D) 67

Question 55

Why is it necessary to understand the average performance of students in a particular grade or age level?

Question 56

What type of distribution is depicted below?

A) Positive skew-Large number of scores occur below the mean.
B) Positive skew-Large number of scores occur above the mean.
C) Negative skew-Large number of scores occur below the mean.
D) Negative skew-Large number of scores occur above the mean.

Question 57

What are the four steps required to calculating variance.

Question 58

How are the measures of central tendency different than the measures of dispersion?

Question 59

What is the mode?

A) 26
B) 76
C) 68
D) 69

Question 60

What type of distribution is depicted below?

A) Positive skew-Large number of scores occur below the mean.
B) Positive skew-Large number of scores occur above the mean.
C) Negative skew-Large number of scores occur below the mean.
D) Negative skew-Large number of scores occur above the mean.

Question 61

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

Question 62

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?

Question 63

In your own words, please describe why it is important to graph data.
Chapter 3 Test Bank Answer Key
True and False