Question

ed sheeran
one direction
8 5 4 1 0 1 2 6 6 9
5 4 3 1 1 1 0 2 5 8 8 9
5 2 2 2 1 4
3 3
5 0 4
5 0
key
1 | 5 = 15
who did better in the top 40 charts?
explain with justification
find the mean of both:
find the mode of both:
find the median of both:
find the range of both:
who has the greater mean?

Explanation:

Step1: Analyze the mean

The mean of Ed Sheeran is \(18.15\) and the mean of One Direction is \(12.38\). Since \(18.15>12.38\), Ed Sheeran has a higher mean.

Step2: Analyze the mode

The mode of Ed Sheeran is \(11\) and the mode of One Direction is \(6\) and \(18\). A lower mode might not be as favorable in terms of chart performance (assuming lower numbers are better in chart rankings).

Step3: Analyze the median

The median of Ed Sheeran is \(11\) and the median of One Direction is \(12\). A lower median (if lower values are better in the chart context) gives Ed Sheeran an edge.

Step4: Analyze the range

The range of Ed Sheeran is \(44\) and the range of One Direction is \(43\). The range difference is not very significant in determining overall better - performance.

Answer:

Ed Sheeran did better. Justification: Ed Sheeran has a higher mean (indicating on - average better chart performance if lower values are better in the chart context), a lower median (again, assuming lower values are better), and although the mode analysis is a bit more complex (since One Direction has two modes), overall the mean and median give an indication that Ed Sheeran had a better performance in the top 40 charts.