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Question 1. The following data were recorded for 127 people at their last health examination: Mean Median Mode Minimum Q1 Q3 Maximum Range Standard Deviation Age 54.9 55 55 30 48 63 82 52 11.2 Months since last visit to dentist 14.9 3.0 1.0 0 1.0 12.0 263 34.2 Months since last visit to PCP 6.6 2.0 1.0 0 1 6 174 174 16.1 HbA1c reading 6.2 5.9 5.7 5.4 5.6 6.2 10.1 .97 a. Find the range in HbA1c readings. ________ b. Find the maximum “months since last visit to a dentist.” ________ c. With regard to “months since last visit to PCP”: i. In which way is the frequency distribution skewed? ______________________ ii. Is there at least one outlier? __________ Please explain your answer. ________________________________________________________________________ iii. If there is at least one outlier and it/they is/are removed, which measure of central tendency is most likely to change? ______________ d. With regard to “age”: i. What is its IQR? ______ ii. Is “age” close to having a symmetric distribution? _________ Please explain your answer. ________________________________________________________________________ Question 2. The same 127 individuals as in Question 1 reported the number of minutes since they last ate or drank something other than water: Range in minutes Frequency 600-650 37 651-700 36 701-750 20 751-800 18 801-850 10 851-900 6 a. Find the median group for “range in minutes” since they last ate or drank something other than water. ___________ b. In which way is the distribution skewed? __________________ Please explain your answer. ____________________________________________________________________________ Question 3: For each of the following, indicate the level of measurement, the best measure of central tendency, and the best measure of dispersion. Assume normal distributions and/or no extreme values. Note: Some of the terms below may be used more than once. Some of the terms below may not be required to answer this question. Interval IQR Mean Median Mode Range Variance Ordinal Nominal Ratio None Standard deviation Variable name Level of measurement Best measure of central tendency Best measure of dispersion Nurse’s job preference (hospital, private office, community clinic) Temperature readings in Florida in July (Fahrenheit scale) Nurse’s year in college (freshman, sophomore, junior, senior) Patient’s triglyceride value

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a. Find the range in HbA1c readings. ___4.7___

b. Find the maximum “months since last visit to a dentist.” ___263___

c. With regard to “months since last visit to PCP”:

i. In which way is the frequency distribution skewed? ___positive_or to the right_____

ii. Is there at least one outlier? ___Yes____ Please explain your answer.

The maximum point of 174 is clearly larger than 1.5 times IQR of 5=6-1.

iii. If there is at least one outlier and it/they is/are removed, which measure of central tendency is most likely to change? _____mean______...

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