finding a relative frequency\na random sample of students at north high school were polled on whether they…
finding a relative frequency\na random sample of students at north high school were polled on whether they prefer a 15 - minute break between classes in the morning or in the afternoon. the results are shown in the frequency table.\nwhat is the joint relative frequency for 11th graders who want the break in the afternoon? round to the nearest percent.\n| | morning | afternoon | total |\n|----|----|----|----|\n| 10th | 21 | 17 | 38 |\n| 11th | 16 | 25 | 41 |\n| 12th | 19 | 20 | 39 |\n| total | 56 | 62 | 118 |\n21%\n25%\n40%\n61%
Answer
Explanation:
Step1: Definir fórmula de frecuencia relativa conjunta
La frecuencia relativa conjunta se calcula dividiendo la frecuencia en la celda específica por el total de la muestra.
Step2: Identificar valores
El número de 11º - graders que prefieren la pausa en la tarde es 25, y el total de la muestra es 118.
Step3: Calcular frecuencia relativa conjunta
La frecuencia relativa conjunta es $\frac{25}{118}\approx 0.212$.
Step4: Convertir a porcentaje
$0.212\times100 = 21.2%$, redondeado al porcentaje más cercano es 21%.
Answer:
21%