PSY 335 Interpreting Statistics Worksheet

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Southern New Hampshire University *

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335

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Psychology

Date

Feb 20, 2024

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docx

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4

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PSY 335 Interpreting Statistics Worksheet Testing of 20 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? A) The typical score for this IQ sample is 97. B) The variable range is 43. This indicates the 43-point difference exists between the greatest and lowest scores. C) The frequency graph of the IQ scores exhibits a symmetrical bell-shaped curve, indicating a normal distribution. This indicates that the numbers are uniformly distributed, with a balanced distribution on both average scores. 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? A) A typical score for this sample is 89, which is the sample’s mode. B) The score range is 46, which means there is a 46-point difference between the greatest and lowest scores. C) The distribution of reading comprehension scores appears to follow a regular bell curve on the graph. This indicates that on average, the numbers on either side of the normal score are scattered evenly. III. Consider the correlation data given the provided data and graph: a) How are IQ and reading achievement related? A) The correlation between IQ and reading is .79, indicating a solid positive correlation. 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 representative sample? c) How would you interpret the correlation results? d) What are some ways this knowledge of their relationship could be used? A) The limited sample size of this example shows its inadequate for accuracy representing the overall population. To accurately represent the overall population, a larger sample size would be required. B) Using increased sample sizes of the target population minimizes the potential for data inaccuracies. C) The correlation data suggest a solid positive association between Verbal IQ and reading comprehension. his demonstrates a direct and favorable correlation. After viewing the correlation graph, it is evident that there are several outliers that deviate from the remaining numbers. D) Based on this information, we can conclude that individuals with a high
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