Histogram of the Blood Pressure Data
In this activity, you will be calculating the mean, median, and mode, calculating the standard deviation, and generating a histogram of the blood pressure data. The data set includes the systolic and diastolic blood pressure readings of a person taken over a three month period. Normal diastolic blood pressure readings are in the range of 65-75 (mmHg). In the past, patients with diastolic readings consistently over 100 were considered candidates for taking medication to reduce their diastolic blood pressure. However, in recent years, doctors have found that patients with diastolic readings that are consistently between 90-100 can benefit from medication. This change in protocol is due mainly to the fact that new medications are being developed that have fewer negative side effects. Using either Excel or the TI-83 graphing calculator, calculate the mean, median, and mode for both the systolic and diastolic blood pressures. Then, using either Excel or the TI-83, calculate the standard deviation of the data. Finally, using either Excel or the TI-83, generate histograms for both.
This data exists in three files; one is in Excel Data format, one is in Text format, and one is in TI-83 Group format. If you want to calculate the mean, median, and mode and generate a histogram using the TI-83, you will have to import the text data into the calculator from the computer after you have downloaded the file.
What are the mean, median, and mode for the systolic and diastolic pressures? What do they reveal? What is the standard deviation for the systolic and diastolic pressures? Does the data cluster around one value? What category (bin) contains the highest frequency of readings? Considering the mean, median, mode, standard deviation and the histogram you have generated for the diastolic readings of this patient, should the doctor consider prescribing blood pressure medication? Why?
Copyright © 1998 Central Virginia Governor's School for Science and Technology Lynchburg, VA