Answer and Step-by-step explanation:
To find the new mean number of goals scored by Kate's floorball team, we can follow these steps:
Step 1: Find the total number of goals scored in the 9 matches.
Since the mean (average) is given as 5 goals per match, the total number of goals in 9 matches would be 9 multiplied by the mean, which is 9 x 5 = 45 goals.
Step 2: Add the number of goals scored in the next match.
The team scored 2 goals in the next match, so we need to add 2 to the total number of goals.
Step 3: Find the new mean by dividing the new total by the number of matches.
Since there are now 10 matches (9 original matches + 1 additional match), we divide the new total (45 + 2 = 47) by 10.
Step 4: Calculate the new mean.
The new mean is 47 divided by 10, which is 4.7 goals per match.
Therefore, the new mean number of goals scored by Kate's floorball team is 4.7.