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 12.3 12.3 13.2 11.2 12.5 11.7 11.3 12.2 14.4 13.7 What is the difference of the means for the two groups? 0.52 12.22 12.74 24.96

Answer 1

Soccer : (12.3 + 13.2 + 12.5 + 11.3 + 14.4) / 5 = 63.7 / 5 = 12.74
track : (12.3 + 11.2 + 11.7 + 12.2 + 13.7) / 5 = 61.1 / 5 = 12.22

difference is : 12.74 - 12.22 = 0.52 <=

Answer 2

Answer:

Hence, the difference in Mean of two teams is:

0.52

Step-by-step explanation:

Five members of the soccer team and five members of the track team ran the 100-meter dash.

Their time is listed as:

Soccer          Track

   12.3              12.3

   13.2               11.2

   12.5               11.7

   11.3                12.2

    14.4               13.7

The mean of the soccer team is given by:

$Mean_1=\dfrac{12.3+13.2+12.5+11.3+14.4}{5}\\\\Mean_1=12.74$

The mean of track team is given by:

$Mean_2=\dfrac{12.3+11.2+11.7+12.2+13.7}{5}\\\\Mean_2=\dfrac{61.1}{5}\\\\Mean_2=12.22$

Hence, the Difference in Mean is:

$Mean_1-Mean_2\\\\=12.74-12.22\\\\=0.52$

Hence, the difference in Mean of two teams is:

0.52