Question

tables and graphs end of lesson test
6 what percentage of people weighed more than 170 pounds?
weight ranges of patients
weight (pounds) absolute frequency relative frequency(%) relative frequency(%)
100-110 ii 5 5
111-120 iiii i 14 19
121-130 iiii 11 30
131-140 iiii iiii ii 27 57
141-150 iiii iiii 20 77
151-160 ii 5 82
161-170 iiii 9 91
171-180 i 2 93
181-190 ii 5 98
191-200 i 2 100
5%
9%
2%

Explanation:

Step1: Identify relevant weight ranges

We need to find the weight ranges more than 170 pounds, which are 171 - 180, 181 - 190, 191 - 200.

Step2: Find their relative frequencies

From the table, relative frequencies are: 171 - 180: 2%, 181 - 190: 5%, 191 - 200: 2%.

Step3: Sum the relative frequencies

Sum = 2% + 5% + 2% = 9%? Wait, no, wait. Wait, the "more than 170" would be 171 - 180, 181 - 190, 191 - 200. Wait, but let's check the cumulative relative frequency. Wait, the last column is cumulative relative frequency? Wait, no, the third column is relative frequency (%), fourth is cumulative? Wait, the table:

Weight (pounds) | Absolute Frequency | Relative Frequency(%) | Relative Frequency(%)
--- | --- | --- | ---
100 - 110 | II | 5 | 5
111 - 120 | IIII I | 14 | 19 (5 + 14)
121 - 130 | IIII | 11 | 30 (19 + 11)
131 - 140 | IIII IIII II | 27 | 57 (30 + 27)
141 - 150 | IIII IIII | 20 | 77 (57 + 20)
151 - 160 | II | 5 | 82 (77 + 5)
161 - 170 | IIII | 9 | 91 (82 + 9)
171 - 180 | I | 2 | 93 (91 + 2)
181 - 190 | II | 5 | 98 (93 + 5)
191 - 200 | I | 2 | 100 (98 + 2)

Wait, the fourth column is cumulative relative frequency. So to find the percentage of people weighing more than 170 pounds, we can calculate 100% - cumulative relative frequency at 161 - 170. The cumulative at 161 - 170 is 91%. So 100 - 91 = 9%? Wait, but let's check the relative frequencies of the ranges above 170: 171 - 180 (2%), 181 - 190 (5%), 191 - 200 (2%). Sum: 2 + 5 + 2 = 9%. So that's correct.

Answer:

9%