Question

4) Se cotizó el precio (en dólares) de varios productos similares en el Mercado,
para comparar si existe variación en los precios de dos marcas diferentes A y
B, los datos obtenidos fueron:
Precio Marca A Marca B
10 12 30
30 25 25
50 18 8
70 10 5
90 35 2
Total 100 70
a) Calcule el precio promedio de ambas Marcas. (2 puntos)
b) Cuál de las dos Marcas prese nta mayor variación de precios? (hallar el rango
y desviación estándar) (3 puntos)

The price (in dollars) of several similar products was quoted in the Market, to compare if there is variation in the prices of two different brands A and B, the data obtained were:

Price Brand A Brand B

10 12 30

30 25 25

50 18 8

70 10 5
90 35 2

Total 100 70

a) Calculate the average price of both brands. (2 points)
b) Which of the two brands has the greatest price variation? (find the range and standard deviation) (3 points)

Answer 1

(a) Average price for brand A = 56.20

Average price for brand B = 28.29

(b) Range for brand A = 80 and standard deviation for brand A = 27.42

Range for brand B = 80 and standard deviation for brand B = 155.63

On the standard deviation for both brands, we can say that brand B has greatest price variation.

All the calculation has been done with help of Excel, which is given below: