Question

Given Data: (1)= low lead level (2)= medium lead level, (3)= high lead level

IQ: 85 (1), 94 (1), 97 (1), 86 (1), 86 (1), 107 (1), 91 (1), 99 (1), 115 (1), 50 (1), 93 (1), 98 (1), 100 (1), 94 (1), 73 (1), 76 (1), 72 (1), 76 (1), 95 (1), 89 (1), 96 (1), 108 (1), 74 (1), 72 (2), 90 (2), 100 (2), 91 (2), 98 (2), 91 (2), 85 (2), 97 (2), 91 (2), 78 (2), 82 (3), 93 (3), 89 (3), 94 (3), 88 (3), 83 (3), 76 (3).

N=40 Mean=88.8 Standard deviation= 11.92

3a) Find the 5-number summaries for IQ Full for population of medium lead levels and for the population of high lead levels.

b) Construct box and whisker plots using your 5-number summaries for both populations. Put them on the same scale. Compare and contrast the two populations using the box and whisker plots as your evidence.

Answer 1

3a) The 5-number summaries for IQ Full for the population of medium lead levels and for the population of high lead levels are

b) The box and whisker plots using your 5-number summaries for both populations are

The medium lead level data has greater Q3, median and Q1 values than the corresponding values of the high lead level data. Whereas, both the data sets have slightly negative skewness.