Question

The points scored by a basketball team in its last 5 games are shown. The mean amount of points is 83.2. The median is 72 points. Which measure of center best describes the data? Show work or explain.(5pts.)5.Armand is training for a video game competition. He wants to practice an average of 40 minutes a day. His training log for the week is below. A.How many minutes does he need to practice on Sunday to meet his goal? Show work.(10pts.)6.Show work:(5 pts.)Points Scored73707271130Monday53Tuesday24Wednesday35Thursday60Friday20Saturday65Sunday

Answer 1

1. The median is a much more precise measure of the team's perfomance & it showcases the true picture of the team's average performance

2. This implies that Armand needs to train for 23 minutes on Sunday

Explanation:

The mean (also called arithmetic mean) is the central value of a given set of data; gotten by dividing the sum of the values in the data set by the number of items in the data set.

Mathematically,

Mean (m) = ∑
`(x_i)/(n)`

where
`x_(i)` = the sample

n = the number of items in the sample

The median is the central value in a distribution or given set of data after the data has been arranged sequentially either in ascending or descending degree. In simpler terms, it is regarded as the 'middle number'. The basic advantage of the median over the mean is that unlike the mean which can be skewed by outliers (extremely high or low values) in a data set, the median stays close to presenting a true value

1.

Data for the basketball team in its last 5 games = 73, 70, 72, 71, 130

Mean (m) = (73 + 70 + 72 + 71 + 130) ÷ 5

Mean (m) = 416 ÷ 5 = 83.2

Arranging the data sequentqially, we have: 70, 71, 72, 73, 130

Median (
`{\displaystyle a}`) = 72

The median is a much more precise measure of the team's perfomance & it showcases the true picture of the team's average performance. The mean was skewed by the result of the team's last game where the team scored 130 points (an outlier)

2.

Armand's training data (the week begins on Monday & ends on Sunday):

Monday = 53 minutes, Tuesday = 24 minutes, Wednesday = 35 minutes,

Thursday = 60 minutes, Friday = 20 minutes, Saturday = 65 minutes,

Sunday = ?

Since Armand intends to practise an average of 40 minutes for the week (7 days), we calculate thus

Mean (m) = sum of time Armand spends training ÷ number of days Armand spends training

Target Mean = 40 minutes, sum of time = 53 + 24 + 35 + 60 + 20 + 65 + x = 257 + x

where x = minutes Armand needs to practice on Sunday to meet his goal

number of days = 7

40 = (257 + x) ÷ 7

Make x the subject of the formula, we have:

257 + x = 40 * 7

x = 280 - 257 = 23

x = 23 minutes

This implies that Armand needs to train for 23 minutes on Sunday if he is to make his targeted weekly average of 40 minutes