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    Descriptive Statistics: SPSS

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    Unit 1 Homework: Summarizing and Describing Data
    This homework requires both SPSS and your calculator. There are very specific and helpful guidelines for doing this type of homework located in the Graphing Tutorial in Unit 1. Submit only one file for the entire homework into the gradebook. Either create text boxes in SPSS and type in your explanations and answers there, OR, do your work in Word, and cut and paste graphs and tables from SPSS into that document. APA format is required for figure and table captions. Remember that you must show your work to receive full credit.

    In SPSS, create a database from the information in Table 1 (pg. 3) found at the end of this document. Use that information to answer questions 1 through3.

    1. For the variable Math 201:
    a. Create the appropriate graph (5 pts)
    b. Create the appropriate descriptive statistics (5 pts)
    c. What is the most appropriate descriptive statistic? Include the justification for your choices (5 pts)
    d. Write out how you would explain this information to someone who had not had a course in statistics (5 pts).

    2. For the variable Math Test:
    a. Create the appropriate graph (5 pts)
    b. Create the appropriate descriptive statistics (2.5 pts)
    c. What is the most appropriate descriptive statistic? Include your justification for your choices. (2.5)
    d. We know from experience that scores in the middle 50% of the distribution generally do well in our course in statistics. What scores would be the cutoffs for this range? (5 pts.)
    e. Students who score below the 30th percentile on this test are referred to the Tutoring Center. How many should be referred?
    (5 pts.)

    3. For the variable Stat grade:
    a. Create the appropriate graph (5 pts)
    b. Create the appropriate descriptive statistics (2.5 pts)
    c. What is the most appropriate descriptive statistic? Provide justification for your choices. (2.5)
    d. What is the probability of finding a score of 90 or better? (5 pts.)
    e. What scores mark the most deviant 10%? (5 pts.)

    4. Reading readiness of preschoolers from an impoverished neighborhood (n = 20) was measured using a standardized test. Nationally, the mean on this test for preschoolers is 30.9, with s = 2.08.

    a. Children below the 30th percentile are in need of special assistance prior to attending school. What score would indicate these children? (5 pts.)
    b. What percentage of children score between 25 and 28.5? (5 pts.)
    c. How many children would we expect to find with scores between 28 and 31.5? (5 pts.)
    d. Children in the top 25% are considered accelerated readers and qualify for different placement in school. What score would mark the cutoff for such placement? (5 pts.)

    5. Age at onset of dementia was determined for a sample of adults between the ages of 60 and 75. For 15 subjects, the results were Σx = 1008, and Σx2 =67878. Use this information to answer the following:.
    a. What is the mean and s for this data? (5 pts.)
    b. What is the percentile rank for an individual who shows dementia at age 62? (5 pts)
    c. If we consider +/-1z to be the normal range of onset, what ages correspond to this? (5 pts.)
    d. What ages identify the most deviant 20%? (5 pts.)

    Table 1.

    Student Database
    ID # Gender GPA Math
    201 Math
    Test Stat
    Grade
    1
    2
    3
    4
    5
    6
    7
    8
    9
    10
    11
    12
    13
    14
    15
    16
    17
    18
    19
    20
    21
    22
    23
    24
    25
    Male
    Male
    Female
    Female
    Female
    Male
    Female
    Female
    Female
    Female
    Male
    Male
    Female
    Female
    Female
    Female
    Female
    Female
    Male
    Female
    Female
    Female
    Male
    Male
    Female
    3.23
    3.10
    3.75
    2.32
    2.79
    2.13
    2.64
    2.91
    2.27
    2.53
    3.32
    3.73
    3.24
    3.01
    2.94
    2.80
    2.55
    3.23
    2.94
    3.79
    3.65
    2.15
    3.44
    2.26
    2.95
    No
    Yes
    Yes
    No
    No
    No
    No
    No
    Yes
    No
    Yes
    Yes
    Yes
    Yes
    No
    No
    No
    No
    No
    Yes
    Yes
    No
    No
    No
    No
    17
    27
    35
    25
    28
    18
    15
    29
    38
    17
    35
    32
    28
    22
    18
    25
    24
    40
    28
    38
    35
    20
    36
    27
    29 78
    85
    93
    74
    76
    62
    58
    78
    90
    60
    93
    94
    90
    79
    74
    72
    70
    78
    73
    94
    93
    62
    68
    60
    60

    Description of Database
    ID# Student identification number
    Gender: 1 = male, 2 = female
    GPA: Overall college grade point average
    Math 201: Have you taken Math 201? 1 = No, 2 = Yes
    Math Test: Score on a test of Math Skills
    Stat Grade: Grade in introductory statistics course
    A = 92 to 100
    B = 82 to 91
    C = 72 to 81
    D = 62 to 71
    F = 61 and below

    See attached file.

    © BrainMass Inc. brainmass.com October 10, 2019, 12:05 am ad1c9bdddf
    https://brainmass.com/statistics/statistical-figures/descriptive-statistics-spss-278286

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    Solution Summary

    The solution provides step by step method for the calculation of descriptive statistics in SPSS. Formula for the calculation and Interpretations of the results are also included.

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