An IQ test is an assessment that measures a range of cognitive abilities and provides a score that is intended to serve as a measure of an individual's intellectual poten- tial and ability. The following data set gives a score of IQ test for 40 employees in Company SM. Given the mean of this sample is 63.5 and the standard deviation is 12.33. (a) Determine the value of k. (b) 88.9 k 77.0 76.5 75.9 75.4 75.3 74.2 73.5 72.9 72.4 72.1 70.3 70.1 67.9 67.0 66.6 66.3 65.6 64.3 63.0 61.1 61.0 60.9 60.8 58.9 58.7 58.3 58.2 57.6 55.4 54.8 54.7 54.7 54.7 54.2 53.0 49.3 46.0 14.1 (c) Select a suitable graphing approach for this data and plot the data. Indicate the distribution of the data. Determine the median and mode.

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Question 1
An IQ test is an assessment that measures a range of cognitive abilities and provides
a score that is intended to serve as a measure of an individual's intellectual poten-
tial and ability. The following data set gives a score of IQ test for 40 employees in
Company SM. Given the mean of this sample is 63.5 and the standard deviation is
12.33.
(a)
(b)
(c)
88.9 k 77.0 76.5 75.9 75.4 75.3 74.2
73.5 72.9 72.4 72.1 70.3 70.1 67.9 67.0
66.6 66.3 65.6 64.3 63.0 61.1 61.0 60.9
60.8 58.9 58.7 58.3 58.2 57.6 55.4 54.8
54.7 54.7 54.7 54.2 53.0 49.3 46.0 14.1
Determine the value of k.
Select a suitable graphing approach for this data and plot the data. Indicate
the distribution of the data.
Determine the median and mode.
(d)
By removing the smallest value (outlier), calculate the mean, median and
mode. Compare these measures with the previous values before removing
the outlier. Comment on these three measures in the presence of outlier.
Transcribed Image Text:Question 1 An IQ test is an assessment that measures a range of cognitive abilities and provides a score that is intended to serve as a measure of an individual's intellectual poten- tial and ability. The following data set gives a score of IQ test for 40 employees in Company SM. Given the mean of this sample is 63.5 and the standard deviation is 12.33. (a) (b) (c) 88.9 k 77.0 76.5 75.9 75.4 75.3 74.2 73.5 72.9 72.4 72.1 70.3 70.1 67.9 67.0 66.6 66.3 65.6 64.3 63.0 61.1 61.0 60.9 60.8 58.9 58.7 58.3 58.2 57.6 55.4 54.8 54.7 54.7 54.7 54.2 53.0 49.3 46.0 14.1 Determine the value of k. Select a suitable graphing approach for this data and plot the data. Indicate the distribution of the data. Determine the median and mode. (d) By removing the smallest value (outlier), calculate the mean, median and mode. Compare these measures with the previous values before removing the outlier. Comment on these three measures in the presence of outlier.
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