Question

question 3 of 8
select the correct answer.
the juniors and seniors at a high school are ordering class shirts. the amounts ordered in each size are shown in the two - way frequency table below.

	juniors	seniors	total
medium	84	62	146
large	68	79	147
x - large	23	28	51
total	240	220	460

which statement is true about the information represented in the table?

• the percentage of juniors who ordered a medium shirt is less than the percentage of students who ordered a medium shirt who are also in the junior class.
• the percentage of juniors who ordered a medium shirt is greater than the percentage of students who ordered a medium shirt who are also in the junior class.
• the percentage of seniors who ordered a small shirt is the same as the percentage of students who ordered a small shirt who are also in the senior class.
• the percentage of seniors who ordered a large shirt is greater than the percentage of students who ordered a large shirt who are also in the senior class.

Explanation:

Step1: Calcular % juniors con camisa mediana

$\text{Porcentaje} = \frac{84}{240} \times 100 = 35\%$

Step2: Calcular % estudiantes con camisa mediana

$\text{Porcentaje} = \frac{146}{460} \times 100 \approx 31.74\%$

Step3: Comparar los porcentajes

$35\% > 31.74\%$

Step4: Verificar otras opciones (descartarlas)

• Opción 1: $35\% > 31.74\%$, por lo que es falsa.
• Opción 3: $\frac{51}{220} \times100\approx23.18\%$ vs $\frac{116}{460}\times100\approx25.22\%$, son diferentes, falsa.
• Opción 4: $\frac{79}{220}\times100\approx35.91\%$ vs $\frac{147}{460}\times100\approx31.96\%$, $35.91\% > 31.96\%$, pero no es la opción correcta ya que la opción 2 es verdadera.

Answer:

The percentage of Juniors who ordered a medium shirt who are also in the Junior class is greater than the percentage of students who ordered a medium shirt who are also in the Junior class.