Mathematics, 07.07.2020 17:01 gracelong4326

Los datos siguientes corresponden a los tiempos de reacción de una muestra de 33 sujetos, medidos en centésimas de segundo(Inventar los dos últimos datos, reemplazando las x por un número): 55, 51, 60, 56, 64, 56, 63, 63, 61, 57, 62, 50, 49, 70, 72, 54, 48, 53, 58, 66, 68, 45, 74, 65, 58, 61, 62, 59, 64, 57, 63, xx, xx. 1. Calcular los cuartiles de los 33 sujetos 2. Calcular el decil 5 y el decil 7 3. Calcular el percentil 13 y el percentil 76

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Answer from: ayoismeisalex

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Compruebe amablemente la explicación

Explicación paso a paso:

Dados los datos: 55, 51, 60, 56, 64, 56, 63, 63, 61, 57, 62, 50, 49, 70, 72, 54, 48, 53, 58, 66, 68, 45, 74, 65, 58, 61, 62, 59, 64, 57, 63, xx, xx

Los dos valores faltantes podrían ingresarse utilizando varios métodos, incluyendo la mediana, modal y el valor medio de los datos dados en la distribución.

Aquí usaremos el valor medio.

Media (m) de los datos = suma de la observación / número de observaciones Media =

(55 + 51 + 60 + 56 + 64 + 56 + 63 + 63 + 61 + 57 + 62 + 50 + 49 + 70 + 72 + 54 + 48 + 53 + 58 + 66 + 68 + 45 + 74 + 65 + 58 + 61 + 62 + 59 + 64 + 57 + 63) / 31 = 1844/31 = 59.4 = 59 (al número entero más cercano) Entonces reemplace los valores faltantes con 59.

En otro para hacer cálculos sobre los datos, hay que reorganizarlos.

Datos ordenados: 45,48,49,50,51,53,54,55,56,56,57,57,58,58,59,59,59,60,61,61,62,62,63,63,63, 64,64,65,66,68,70,72,74

Los cuartiles de datos:

Primer cuartil (Q1) = 1/4 (33 + 1) = 1/4 (34) = 8.5

Q1 = (8º + 9º) / 2 = (55 + 56) = 111/2 = 55,5

Segundo cuartil (Q2) = Q3 - Q1 = (25.5 - 8.5) = 17th = 59

Tercer cuartil (Q3) = 3/4 (33 + 1) = 3/4 (34) = 25.5 Q3 = (25 + 26) = (63 + 64) = 127/2 = 63.5

Rango intercuartil (IQR) = 63.5 - 55.5 = 8

Mediana = Q2 = 59

Mínimo = 45

Máximo = 74

Rango = 74-45 = 29

El quinto decil:

D5 = [5 (33 +1)] / 10 = 5 (34) / 10

D5 = 170/10 = 17º valor = 59

7mo decil: D7 = [7 (33 + 1)] / 10 = 7 (34) / 10

D7 = 238/10 = 23.8 ° término D7 = 63

Percentil:

Percentil 13 (13% × 33) = 0.13 × 33 = 4.29

4to término = 50

Percentil 76: (76% × 33) = 0.76 × 33 = 25.08

25 ° término = 63

Answer from: Quest

step-by-step explanation:

Answer from: Quest

the dimensions are: $(2b+-+1)$

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

$v(b)=50b^3+75b^2-2b-3$

we factor to obtain;

$v(b)=(2b+3)(25b^2-1)$

we rewrite the rightmost factor to obtain;

$v(b)=(2b+)^2-1^2)$

recall that:

$a^2-b^2=(a+b)(a-b)$

we apply difference of two squares formula to obtain;

$v(b)=(2b+3)(5b-1)(5b+1$

hence the dimensions are

$(2b+-+1)$

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