- CALCLATE GEOMETRIC MEAN OF THE DATASET BELOW. 2. People with diabetes must mon

Question

- CALCLATE GEOMETRIC MEAN OF THE DATASET BELOW.

2. People with diabetes must monitor and control their blood glucose level. The goal is to maintain "fasting plasma glucose" between 90 and 130 milligrams per deciiter(mg/d). Here are the fasting plasma glucose levels for 18 diabetics enrolled in a diabetes control class, 5 months after the class has ended. 141 196 103 158 78 359 112 148 145 153 172 147 134 276 172 Calculate the Median, Mean, geometric mean, Range, variance, standard deviation, and interquartile range (IOR) of fasting blood glucose levels. a. b. Below is the Histogram for these data. Comment on the shape of the distribution (symmetric, skewed left, skewed right 30 20 200 c. Which measure(s) of central tendency would be the most reasonable to report for these data? And why? d. Which measure(s) of dispersion? And why? e. Do you think this class was successful to help the attendees control their glucose level based on the results of these data, why?

Explanation / Answer

Mean is the sum/n, median is the middle value, Q1 and q3 are I and III quartiles

GEometric mean is the 15th root of all the products

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b) The distribution is not symmetric it is skewed right.

Median is the best here as mean may mislead due to skewness

c) INterquartile range is better than variance due to outliers

d) No still high glucose level are more hence further control is necessary

141 158 112 153 134 196 78 148 172 276 103 359 145 147 172 Mean 166.2667 Median 148 Geom mean 155.4076 Range 359-78 Variance 4854.067 Std dev 69.67113 Q 1 137.5 Q3 172

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