Question

Five members of the soccer team and five members of the track team ran the 100-meter dash. Their times are listed in the table below:
soccer track
12.1 12.2
13.8 11.3
12.6 11.9
11.2 12.1
14.7 13.2


What is the difference of the means for the two groups?
12.14
12.88
25.02
0.74

Answer 1

The last one....0.74

Answer 2

Answer:  The correct option is (D) 0.74.

Step-by-step explanation:  Given that five members of the soccer team and five members of the track team ran the 100-meter dash.

Their times are listed in the table below:

soccer   12.1    13.8   12.6   11.2   14.7

track       12.2   11.3    11.9   12.1    13.2

We are to find the difference of the means for the two groups.

The MEAN is equal to the average of a given data.

For Soccer team, the mean is given by

$M_s=\dfrac{12.1+13.8+12.6+11.2+11.7}{5}=12.88,$

and for Track team, the mean is given by

$M_t=\dfrac{12.2+11.3+11.9+12.1+13.2}{5}=12.14,$

Therefore, the difference of the means for the two groups is

$D=M_s-M_t=12.88-12.14=0.74.$

Thus, the required difference is 0.74.

Option (D) is correct.