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shusha [124]
3 years ago
12

How does the mean absolute deviation (MAD) of the data in set 1 compare to the mean absolute deviation of the data in set 2?

Mathematics
1 answer:
frutty [35]3 years ago
4 0

Answer:

<em>Mean Absolute deviation for (set 1): 4</em>

<em>Mean Absolute deviation for (set 2): 9</em>

Set 2 has a lower (MAD) mean absolute deviation that Set 1.

Step-by-step explanation:

(set 1)

Mean: 80 + 82 + 90 = 252/3 = 84

84 - 80 = 4

84 - 82 = 2

84 - 90 = 6

Mean Absolute Deviation: 2 + 4 + 6 = 12/3 = 4

(set 2)

Mean: 60 + 80 + 82 + 90 = 312/4 = 78

78 - 60 = 18

78 - 80 = 2

78 - 82 = 4

78 - 90 = 12

Mean Absolute Deviation: 2 + 4 + 12 + 18 = 36/4 = 9

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2 years ago
Samuel, Martín y Santiago salen a montar bicicleta de Cali hacia Palmira. La distancia entre Cali y Palmira es de 29.3 KM. En la
myrzilka [38]

Answer:

a) Martín recorrió más distancia, b) A Samuel, Martín y Santiago les falta 7.05, 7.55 y 7.883 kilómetros, respectivamente, c) La distancia recorrida promedio es 21.889 kilómetros, d) Martín recorrió 0.333 kilómetros más que Santiago.

Step-by-step explanation:

a) En primer lugar, convertimos la distancia recorrida por cada persona a su forma decimal:

Samuel

\frac{178}{8}\,km = 22.25\,km

Martin

21\,km + \frac{3}{4}\,km = 21.75\,km

Santiago

21\,km + \frac{5}{12}\,km = 21.417\,km

Como puede apreciarse, Martín recorrió más distancia.

b) La distancia faltante es igual a la sustracción de la distancia recorrida por la persona a la distancia total:

Samuel

x = 29.3\,km -22.25\,km

x = 7.05\,km

Martin

x = 29.3\,km - 21.75\,km

x = 7.55\,cm

Santiago

x = 29.3\,km - 21.417\,km

x = 7.883\,km

A Samuel, Martín y Santiago les falta 7.05, 7.55 y 7.883 kilómetros, respectivamente.

c) La distancia recorrida promedio se obtiene sumando las distancias recorridas de las tres personas y dividiendo el resultado por la cantidad de personas:

\bar{x} = \frac{22.5\,km + 21.75\,km + 21.417\,km}{3}

\bar x = 21.889\,km

La distancia recorrida promedio es 21.889 kilómetros.

d) Esta diferencia se encuentra a restar la distancia recorrida por Santiago a la distancia recorrida por Martín:

x = 21.75\,km - 21.417\,km

x = 0.333\,km

Martín recorrió 0.333 kilómetros más que Santiago.

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3 years ago
URGENT!!LAST QUESTION!!!! PLS JUST TAKE A LOOK! EASY BUT I AM DUMB!!!!!! WILL GIVE BRANLIEST!! The following two triangles are s
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Answer:

x = 26.25 inches

Step-by-step explanation:

Since we know the triangles are similar, we can simply set up ratios to find the length of side length 'x'.

\frac{15.75}{x} = \frac{9}{15}

Cross multiply:

236.25 = 9x

Divide both sides by '9' to solve for 'x':

\frac{236.25}{9}  = \frac{9x}{9}

x = 26.25

Therefore, side length 'x' equals 26.25 in.

8 0
3 years ago
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