Question

Two groups of students were asked how far they lived from their school. The table below shows the distances in miles

Group A (distance in miles) 1 1.5 3.03 3.2 2.8 1.5 1.8 2.5 2.2
Group B (distance in miles) 2 2.5 3.23 1.3 1.8 2.4 3 1.5 1.8


Which statement best compares the mean distances for the two groups?

It is equal for Group A and Group B.

It is greater for Group B than Group A.

Its value for Group A is double the value for Group B.

Its value for Group B is double the value for Group A.

Answer 1

Group A (distance in miles) 1 1.5 3.03 3.2 2.8 1.5 1.8 2.5 2.2
Group B (distance in miles) 2 2.5 3.23 1.3 1.8 2.4 3 1.5 1.8

Group A mean = (1 + 1.5 + 3.03 + 3.2 + 2.8 + 1.5 + 1.8 + 2.5 + 2.2)/9 = 19.53/9 = 2.17
Group B mean = (2 + 2.5 + 3.23 + 1.3 + 1.8 + 2.4 + 3 + 1.5 + 1.8)/9 = 19.53/9 = 2.17

Therefore, the mean is equal for Group A and Group B.

Answer 2

The mean for both the data are equal which is 2.17 miles option first It is equal for Group A and Group B is correct.

What is mean?

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

Mean for group A:

$\rm = \dfrac{1+ 1.5+ 3.03+ 3.2+ 2.8+ 1.5+ 1.8+ 2.5+ 2.2}{9}$

= 19.53/9

= 2.17 miles

Mean for group B:

$=\rm \dfrac{ 2+ 2.5+ 3.23+ 1.3+ 1.8+ 2.4+ 3 +1.5 +1.8}{9}$

= 19.53/9

= 2.17 miles

Thus, the mean for both the data are equal which is 2.17 miles option first It is equal for Group A and Group B is correct.

Learn more about the mean here:

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