Exam 4: Summarizing Scores With Measures of Variability

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Suppose you scored 95 on a measure where the mean was 110 and the standard deviation was 15.Assuming a normal distribution, what percentage of scores should fall between your score and the mean?

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If the sample standard deviation (SX)\left(S_{X}\right) for a set of data with N = 6 is found to be 3.17, then what would be the estimated population standard deviation (sX)\left(s_{X}\right) ?

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If we know the sample variance, can we use that information to find the sample standard deviation?

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When we are considering measures of variability, we are effectively considering

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A group of 10 students participated in a study of nutritional awareness.What is the sample variance (SX2)\left(S_{X}^{2}\right) of their scores? 20, 19, 22, 20, 15, 18, 15, 21, 19, 20

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In general, the larger the value of the standard deviation,

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A doctor wants to know how well elderly patients remember to take their medicine.The doctor measures the percentage of times during the week patients remembered to take their medicine.For a sample of 10 patients, the sample mean percentage was 75 and the sample variance was 15.If the doctor could test his/her entire patient population, what would he/she expect the population variance to be?

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Suppose you have a set of normally distribution data where the mean is 120 and the standard deviation is 15.What score is located at -3 SXS_{X} ?

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What is the range of the following data? 15, 9, 17, 12, 15, 19, 18, 15, 16, 10, 13

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Which of the following sets of data appears to show the greatest amount of variability?

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For the following data set, find the estimated population variance and the estimated population standard deviation.Score f 20 2 19 5 18 8 17 5 16 4 15 1

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Find SXS_{X} for the following data set. 8, 7, 2, 4, 4, 8, 2, 4, 6, 5, 7, 3, 9, 4, 5, 4, 7

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Ms.Gonzalez has recorded the test scores for each of her 25 students.She has calculated ΣX2\Sigma X^{2} = 320 and (X)2\left(\sum X\right)^{2} = 5,000.Calculate the estimated population standard deviation for her data.

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A program evaluator for a large school district wants to know how much intelligence varies in the elementary schools.She selects one classroom at each grade level in each elementary school and administers an intelligence test to the children in those classrooms.In order to find out which school has the most consistent intelligence level, which of the following should she calculate for each school?

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A psychology professor wanted to describe the adolescents in her state in terms of the personality characteristic of introversion/ extroversion.She selects a sample and measures their scores on a test of introversion/extroversion.The measure of variability she should calculate is

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What is the range of the following data? What is the range of the following data?

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In a normal distribution, approximately what percentage of scores is not between -1 SXS_{X} and 1 SXS_{X} ?

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What is the estimated population standard deviation (sX)\left(s_{X}\right) of the following data?  What is the estimated population standard deviation  \left(s_{X}\right)  of the following data?

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