Question

ms. snyder sorted the votes received by each of the 6 student council candidates into separate piles. the piles contained: 49 votes 73 votes 42 votes 91 votes 33 votes 66 votes what was the mean absolute deviation of the numbers of votes received? if the answer is a decimal, round it to the nearest tenth. mean absolute deviation (mad): votes

Explanation:

Step1: Calcular la media

La media $\bar{x}$ se calcula sumando todos los valores y dividiendo entre el número de valores.
$$\bar{x}=\frac{49 + 73+42 + 91+33 + 66}{6}=\frac{354}{6}=59$$

Step2: Calcular la desviación absoluta de cada valor

Calculamos $|x_i-\bar{x}|$ para cada $x_i$:

• $|49 - 59|=10$
• $|73 - 59|=14$
• $|42 - 59|=17$
• $|91 - 59|=32$
• $|33 - 59|=26$
• $|66 - 59|=7$

Step3: Calcular la media de las desviaciones absolutas

Sumamos las desviaciones absolutas y dividimos entre el número de valores:
$$MAD=\frac{10 + 14+17 + 32+26 + 7}{6}=\frac{106}{6}\approx17.7$$

Answer:

$17.7$