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Human measurements provide a rich area of application for statistical methods. The article A Longitudinal Study of the Development of Elementary School Childrens Private Speech (Merrill-Palmer Q., 1990: 443-463) reported on a study of children talking to themselves (private speech). It was thought that private speech would be related to IQ, because IQ is supposed to measure mental maturity, and it was known that private speech decreases as students progress through the primary grades. The study included 33 students whose first-grade IQ scores are given here. 82 96 99 102 103 103 106 107 108 108 108 108 119 121 122 122 127 132 136 140 146 Describe the data and comment on any interesting features. The distribution of IQ scores is concentrated in the range 106 to 122. The distribution of IQ scores is symmetric. The lowest IQ, 82, certainly stands out as a low outlier O The distribution of IQ scores is very negatively skewed. O There are no outliers. O The second lowest IQ, 96, also stands out as an outlier. The distribution of IQ scores is slightly positively skewed The distribution of IQ scores is highly concentrated in the range 100 to 136.No Idea, why its coming wrong?

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Answer #1

Population size: 33 Median: 113 Minimum: 82 Maximum: 146 First quartile: 107.5 Third quartile: 120 Interquartile Range: 12.5

MEAN = 113.7272

If the mean is greater than the mode, the distribution is positively skewed.

outliers are 82, 146,140

option 1) , 3) and 7) are correct

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