QUESTION IMAGE
Question
a reporter counts the number of times a politician talks about jobs in campaign speeches. what is the mad of the data represented in the dot - plot? number of mentions of \jobs\ a. 1.1 mentions b. 2 mentions c. 2.5 mentions d. 5.5 mentions
Explicación:
Paso 1: Calcular la media
Los datos son 2, 3, 4, 5, 5, 5, 6, 6, 6, 7, 8, 9.
La media $\bar{x}=\frac{2 + 3+4 + 3\times5+3\times6+7 + 8+9}{12}=\frac{66}{12}=5.5$
Paso 2: Calcular las diferencias absolutas
$|2 - 5.5|=3.5$, $|3 - 5.5| = 2.5$, $|4 - 5.5|=1.5$, $|5 - 5.5|=0.5$, $|6 - 5.5| = 0.5$, $|7 - 5.5|=1.5$, $|8 - 5.5|=2.5$, $|9 - 5.5|=3.5$
Paso 3: Calcular la media de las diferencias absolutas (MAD)
MAD=$\frac{3.5+2.5 + 1.5+3\times0.5+3\times0.5+1.5+2.5+3.5}{12}=\frac{24}{12}=2$
Respuesta:
B. 2 menciones
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Explicación:
Paso 1: Calcular la media
Los datos son 2, 3, 4, 5, 5, 5, 6, 6, 6, 7, 8, 9.
La media $\bar{x}=\frac{2 + 3+4 + 3\times5+3\times6+7 + 8+9}{12}=\frac{66}{12}=5.5$
Paso 2: Calcular las diferencias absolutas
$|2 - 5.5|=3.5$, $|3 - 5.5| = 2.5$, $|4 - 5.5|=1.5$, $|5 - 5.5|=0.5$, $|6 - 5.5| = 0.5$, $|7 - 5.5|=1.5$, $|8 - 5.5|=2.5$, $|9 - 5.5|=3.5$
Paso 3: Calcular la media de las diferencias absolutas (MAD)
MAD=$\frac{3.5+2.5 + 1.5+3\times0.5+3\times0.5+1.5+2.5+3.5}{12}=\frac{24}{12}=2$
Respuesta:
B. 2 menciones