Question

1. (05.02 lc)

two groups of students were asked how far they lived from their school. the table shows the distances in miles:
group a (distance in miles) | 1 | 1.5 | 3 | 3.2 | 2.8 | 1.5 | 1.8 | 2.5 | 2.2
group b (distance in miles) | 2 | 2.5 | 3.2 | 3 | 1.8 | 2.4 | 3 | 1.5 | 1.8
which statement best compares the mean distances for the two groups? (1 point)

• 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 its value for group b.
• its value for group b is double its value for group a.

Explanation:

Step1: Calculate sum of Group A

$1 + 1.5 + 3 + 3.2 + 2.8 + 1.5 + 1.8 + 2.5 + 2.2 = 19.5$

Step2: Find mean of Group A

Mean = $\frac{\text{Sum}}{\text{Number of data points}} = \frac{19.5}{9} \approx 2.17$

Step3: Calculate sum of Group B

$2 + 2.5 + 3.2 + 3 + 1.8 + 2.4 + 3 + 1.5 + 1.8 = 20.2$

Step4: Find mean of Group B

Mean = $\frac{\text{Sum}}{\text{Number of data points}} = \frac{20.2}{9} \approx 2.24$

Step5: Compare the two means

$2.24 > 2.17$, so Group B's mean is greater.

Answer:

It is greater for Group B than Group A.