Question

the stemplot below displays the arm spans, in centimeters, for 44 students. what percentage of students has an arm span of at least 170 cm? key: 15|5 = 155 cm

Explanation:

Step1: Count students with arm - span ≥ 170 cm

Count the number of values in the stemplot starting from 170 cm. There are 4 values in the 170 - 179 range (170, 170, 171, 173), 4 values in the 175 - 179 range (175, 176, 179, 179), 6 values in the 180 - 189 range (180, 180, 181, 182, 182, 183), 3 values in the 186 - 189 range (186, 186, 189), 2 values in the 190 - 199 range (190, 192) and 1 value in the 200 - 209 range (202). So the total number of students with arm - span ≥ 170 cm is \(4 + 4+6 + 3+2 + 1=20\).

Step2: Calculate the percentage

The percentage of students with arm - span ≥ 170 cm is calculated using the formula \(\text{Percentage}=\frac{\text{Number of students with arm - span}\geq170}{\text{Total number of students}}\times100\). The total number of students is 44. So \(\text{Percentage}=\frac{20}{44}\times100=\frac{2000}{44}\approx45.45\%\approx45\%\).

Answer:

45%