Question

The number of points scored by two basketball teams in each teams' latest

10
games are listed below. Compare and contrast the measures of central
tendency for the data sets.
Team one: {54, 47, 62, 59, 49, 51, 54, 60, 57, 53}
Team two: {63, 57, 49, 52, 61, 43, 51, 53, 56, 48}

Answer 1

See below.

Explanation:

Arranging the data in ascending order:

Team one: { 47, 49, 51, 53, 54, 54, 57, 59, 60, 62}

Team two: {43, 48, 49, 51, 52, 53, 56, 57, 61, 63}

The mean for team one = sum of the scores / 10 =

= 546/10 = 54.6.

The median for team 1 = 54.

The mean for team two = sum of the scores / 10 =

= 533/10 = 53.3.

The median for team 2 = 52.5.

Team 1 has a higher mean than team 2: 54.6 - 53.3 = 1.3 higher.

In both cases, the mean is greater than the median though the difference is < 1 in both cases. So in both cases the distribution of the scores is close to symmetrical, with team 1 being slightly more symmetrical.