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Title: A measured value is within two standard deviations of the mean but not within one standard ... Post by: Liaaaa on Feb 3, 2018 A measured value is within two standard deviations of the mean but not within one standard deviation, and it is greater than the mean. The distribution is very close to a normal distribution. What does this signify? (Select all that apply.)
a. This particular value is not an outlier. b. In the data set, almost 2/3 of the values are closer to the mean than this one is. c. The data point falls within the majority of the measured values, in terms of its closeness to the mean. d. In the data set, at least 4 of the values are further from the mean than this particular value is. e. In this data set, between 65 and 95 of the values are smaller in value than this one is. Title: A measured value is within two standard deviations of the mean but not within one standard ... Post by: PrincessAwesome on Feb 3, 2018 ANS: A, B, D, E
The range, standard deviation, and variance are statistics that describe the extent to which the values in the sample vary from one another. The most common of these statistics to be reported in the literature is the standard deviation, because of its direct association with the normal curve. If the frequency distribution of any given variable is approximately normal, knowing the standard deviation of that variable allows the reader to know what percentages of subjects' values on that variable fall between +1 and 1 standard deviation. In a normal distribution, when a standard deviation is calculated, 34.13 of the values are between the mean score and 1 standard deviation above the mean. Similarly, 34.13 of the values are between the mean score and 1 standard deviation below the mean. The middle 95.44 of the subjects' scores are between +2 standard deviations and 2 standard deviations. |