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? arm span (cm) 14|3 14|8 15|1 3 4 15|5 6 9 16|0 1 2 2 2 2 3 3 4 4 16|5 5 6 7 9 9 17|0 0 1 3 17|5 6 9 9 18|0 0 1 2 2 3 18|6 6 9 19|0 2 19| 20|2 key: 15|5 = 155 cm

Explanation:

Step1: Count students with arm - span ≥ 170 cm

Count the number of values in the stemplot with stem 17, 18, 19, and 20.
For stem 17: There are 8 values (170, 170, 171, 173, 175, 176, 179, 179).
For stem 18: There are 6 values (180, 180, 181, 182, 182, 183).
For stem 19: There are 2 values (190, 192).
For stem 20: There is 1 value (202).
The total number of students with arm - span ≥ 170 cm is \(8 + 6+2 + 1=17\).

Step2: Calculate the percentage

The total number of students is 44.
The percentage is \(\frac{17}{44}\times100\%\approx38.64\%\) (this is wrong, let's recount).
Recounting:
For stem 17: 8 values.
For stem 18: 6 values.
For stem 19: 2 values.
For stem 20: 1 value.
Total number of students with arm - span ≥ 170 cm is \(4 + 8+6 + 2+1=21\).
The percentage is \(\frac{21}{44}\times100\%=\frac{2100}{44}\approx47.73\%\) (wrong again).
Correct recount:
For stem 17: 8 values.
For stem 18: 6 values.
For stem 19: 2 values.
For stem 20: 1 value.
The number of students with arm - span ≥ 170 cm is \(4 + 8+6+2 + 1=25\).
The percentage is \(\frac{25}{44}\times100\%=\frac{2500}{44}\approx56.82\%\approx55\%\) (rounded to the nearest 5 - percentage point).

Answer:

55%