The numbers of goals scored by twelve soccer players in a season are thirteen,
eleven, twelve, five, five, nine, six, eleven, eight, five, six, and nineteen. Find the range of the
numbers of goals scored.
Well before we answer this question, let’s have a little think about what the data
actually means. And to do that, we’re just gonna create a little table. First of all, we’ve got a row
that tells us the number of goals and then we’ve got the number of players scoring that many
So among those twelve players, three of them scored five goals each; two of them scored six goals each; nobody scored exactly seven goals; but one player scored eight goals; one player scored nine goals; nobody scored exactly ten goals; but two players scored eleven goals one player scored twelve goals; and one scored thirteen goals; and this super striker scored nineteen goals.
So for this particular group of twelve players, the smallest number of goals that
any of them scored in the entire season was five. In other words, everyone scored at least five goals. And the largest number of
goals that anybody scored was nineteen. So everybody scored between five and nineteen goals, so that’s the range of our
The minimum number of goals scored was five, and the maximum number of goals scored was nineteen. So the range is the difference
between these two. And to work out the difference between the minimum and the maximum number of
goals scored, we just calculate the maximum take away the minimum. So that’s gonna be nineteen
take away five, which is fourteen.
So the answer is that the range is fourteen goals. And this means that the difference in the number of goals scored between the
highest scoring player, the most prolific goal scorer, and the person who scored the least
number of goals is a difference of fourteen goals.