Question 3.29: Systolic Blood Pressure The frequency distribution for the s......

Elementary Statistics: A Step By Step Approach [1108724]

Systolic Blood Pressure

The frequency distribution for the systolic blood pressure readings (in millimeters of mercury, mm Hg) of 200 randomly selected college students is shown here. Construct a percentile graph.

A Class boundaries	B Frequency	C Cumulative frequency	D Cumulative percent
89.5–104.5	24
104.5–119.5	62
119.5–134.5	72
134.5–149.5	26
149.5–164.5	12
164.5–179.5	4
	200

Step-by-Step

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Step 1 Find the cumulative frequencies and place them in column C.
Step 2 Find the cumulative percentages and place them in column D. To do this step, use the formula

Cumulative % = $\frac{\text{cumulative frequency}}{n}$ · 100

For the first class,

Cumulative % = $\frac{24}{200}$ · 100 = 12%

The completed table is shown here.

Step 3 Graph the data, using class boundaries for the x axis and the percentages for the y axis, as shown in Figure 3–6.

A Class boundaries	B Frequency	C Cumulative frequency	D Cumulative percent
89.5–104.5	24	24	12
104.5–119.5	62	86	43
119.5–134.5	72	158	79
134.5–149.5	26	184	92
149.5–164.5	12	196	98
164.5–179.5	4	200	100
	200

3.6

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