Family A and Family B both have 8 people in their family.
The ages of each member is listed below.
Family A: 35, 5, 42, 9, 16, 3, 8, 12
Family B: 1, 5, 29, 3, 7, 35, 6, 9
Which statement is correct about the variability of the two
families?
a. The variability is the same for both Family A and Family B
because they have the same mean absolute deviation
b. The variability for Family A is greater because the mean is
greater for Family A
c. The variability for Family B is greater because the mean
absolute deviation is greater for Family
d. There is not enough information to determine the variability,

Respuesta :

Answer: the answer B

Step-by-step explanation:because it has higher smaller numbers than B

This is about variability.

Option B is correct.

  • Variability is just a measure of the consistency of  the values in a given data .

Let's find the mean of both families data set;

Family A: 35, 5, 42, 9, 16, 3, 8, 12

  • Mean of Family A ages = (35 + 5 + 42 + 9 + 16 + 3 + 8 + 12)/8 = 16.25

  • Mean of Family B ages = (1 + 5 + 29 + 3 + 7 + 35 + 6 + 9)/8 = 11.875

  • Now, the higher the mean, the higher the variance and thus the higher the variability.

  • Thus, we can conclude that; The variability for Family A is higher because its' mean is higher.

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