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EDPT 514: Assessment Strategies for Diverse Learners

Chapter 3: Descriptive Statistics

Part I.

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

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

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

1. In a university, all students are given a new student identification number upon registration. These numbers are on what scale? Answer:
2. 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. Answer:
3. The mean, median, and mode make up ___. Answer:
4. 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? Answer:
5. The following set of data has what type of distribution? 88, 33, 78, 56, 44, 37, 90, 99, 76, 78, 77, 62, 90? Answer:
6. 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:
7. What term describes a set of data in which the mean is less than the most frequently occurring scores? Answer:

Part II. Statistical Calculations

1. Rank orders 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

Mean:

Median:

Mode:

Range:

Variance:

Standard Deviation:

Scores that are a significant distance from the mean are ( 1 SD):

Part III. Multiple Choice Items (Please highlight or underline the correct response)

1. When students enroll in school and are provided with an identification numbera combination of letters and numbersthis number is on the ___ scale.

1. 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?

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

1. 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.

1. Which number is representative of a raw score?

• Total test items = 25
• Correct answers = 20
• Incorrect answers = 5
• Ratio = 20/25

1. 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.

• Norm-referenced
• Standardized
• Derived scores
• Measures of central tendency

1. Organizing data to see how the data cluster is called

• Measures of Dispersion
• Measures of Central Tendency
• Frequency
• Normal Distribution

1. Organizing data to see how the data spread away from the mean is called

• Measures of Dispersion
• Measures of Central Tendency
• Frequency
• Normal Distribution

1. What does the vertical line in the normal distribution represent?

• Median
• Mode
• Mean
• Central tendency
  • 4.11
  • 10
  • 79.33
  • 16.8889
  • 4.11
  • 10
  • 79.33
  • 16.8889

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.

1. What is the variance?

1. What is the standard deviation?

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

• Frequency distribution
• Normal distribution
• Bell curve
• Frequency polygon

Using the bell curve below, answer the questions that follow.

1. Point a on the normal distribution represents the IQ cut-off score for which disability category?

• Learning disability
• Gifted
• Mental retardation
• Autism

1. Point b on the normal distribution represents the IQ cut-off score for which disability category?

• Learning disability
• Gifted
• Mental retardation
• Autism
  • 69
  • 63
  • 26
  • 67

Using the data set below, answer the questions that follow.

1. What is the mean?

1. What is the mode?

• 26
• 76
• 68
• 69

1. What is the median?

• 69
• 76
• 26
• 67

1. What is the range?

• 50
• 76
• 29
• 63
  • Positive skewLarge number of scores occur below the mean.
  • Positive skewLarge number of scores occur above the mean.
  • Negative skewLarge number of scores occur below the mean.
  • Negative skewLarge number of scores occur above the mean.
  • Positive skewLarge number of scores occur below the mean.
  • Positive skewLarge number of scores occur above the mean.
  • Negative skewLarge number of scores occur below the mean.
  • Negative skewLarge number of scores occur above the mean.
  • 14% of the students in that age/grade.
  • 84% of the students in that age/grade.
  • 85% of the students in that age/grade.
  • 15% of the students in that age/grade.
  • Decile
  • T-score
  • Stanine
  • Z-score
  • Decile
  • T-score
  • Stanine
  • Z-score

1. What type of distribution is depicted below?

1. What type of distribution is depicted below?

1. A person who scores at the 85%tile scored as well or better than ___.

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

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

1. A person with an obtained IQ score of 115 would have a z score of:

• +1
• +2
• 0
• -1

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