Question

Sue played four games of golf the modal score was 98 and the mean 100 and the range 10 What were the scores for the games

Answer 1

Step-by-step explanation:

Let the highest and lowest score be a and b respectively .

a - b = 10

a = 10 + b

The numbers in descending order are a , 98 , 98 , b .

mean = 100 , so

4 x 100 = a + 98 + 98 + b = 10 + b + 98 + 98 + b = 206 + 2b

400 = 206 + 2b

2b = 194

b = 97

a = 107

So the scores were as follows

107 , 98 , 98 , 97