PSY 335 Interpreting Statistics Worksheet

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Feb 20, 2024

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PSY 335 Interpreting Statistics Worksheet Testing of twenty randomly selected subjects yielded two sets of scores: Verbal IQ and Reading Comprehension. The table below displays the results and descriptive statistics, as well as frequency distribution charts for each variable and a scatterplot of the correlations between the two variables: Subject Verbal IQ Rdg. Comp. 1 90 88 2 99 97 3 101 110 4 115 121 5 97 98 6 98 95 7 92 89 8 104 109 9 103 100 10 117 100 11 100 96 12 98 101 13 96 105 14 105 105 15 78 80 16 121 99 17 82 75 18 85 89 19 81 78 20 82 86 MEAN 97 96 MEDIAN 98 97 MODE 98 89 STD.DEV . 11.8 11.2 RANGE 43 46 CORREL VERB x RDG 0.79
70 80 90 100 110 120 More 0 5 10 Reading Comprehension Frequency Distribution Frequency STD SCORE 70 80 90 100 110 120 More 0 2 4 6 8 Verbal IQ Frequency Distribution Frequenc STD SCORE Frequency 75 85 95 105 115 125 70 80 90 100 110 120 Verbal IQ Score Reading Scores Please answer the following questions within the appropriate column in the table below:
I. Using the provided data and graphs, describe the frequency distribution for the IQ test : a) What is a typical score for this sample? b) How variable are the scores? c) How are the scores distributed? d) A typical score for this sample would be ninety-seven which is the mean for this sample. The mean is the average score, it takes the numerical value of each score in this distribution into account (Cohen, 2021). e) The range for this IQ test data set is forty-three. The scores in this data set range from eighty to just over 120. The lowest point for this data set is eighty-one while the highest point is 121. f) The scores are distributed normally which means the data is on a bell-shaped curve. The top of the curve shows a mean of ninety-seven. The standard deviation is 11.8 and 95% of the data falls within two standard deviations of the mean. II. Using the provided data and graphs, describe the frequency distribution of the reading test scores : a) What is a typical score for this sample? b) How variable are the scores? c) How are the scores distributed? d) The typical score for this sample would be ninety-six. This score is found by finding the average of the data set. The mean is the average score of all numerical points in this distribution (Cohen, 2021). e) The range for the reading test scores is forty-six. The scores in the data set range from 75 to 121. The lowest point in the data set is seventy-five and the highest point is 121. f) The scores for this distribution are distributed normally which means the data is on a bell-shaped curve. The top of the curve shows a mean of ninety-six. The standard deviation is 11.2. Ninety-five percent of the data is within two standard deviations of the mean. III. Consider the correlation data given the provided data and graph: a) How are IQ and reading achievement related? b) Based on the correlation data provided as verbal IQ increases, reading comprehension also increases. The correlation score is 0.79. There is a strong correlation between the two variables. IQ is the independent variable and reading comprehension is the dependent variable. IV. Evaluate the data from a psychological testing perspective: a) Are these samples good representations of the general population? How do you know? b) What could you do to make them a more e) Having a random sample would be a good start for having a good representation but is not enough for this sample. The samples are too small to have a good representation of the population. The
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References Cohen, R. J. (2021). Psychological Testing and Assessment (10th ed.). McGraw-Hill Higher Education (US). https://mbsdirect.vitalsource.com/books/9781264169207