The number of goals that bully scores in each game is shown in the table below.
Number of goals Frequency
0. 4.
1. 8
2. 5
3. 3
What was the modal amount of goals scored by billy?
What is the mean amount of goals scored by billy?
Mode is most frequently observed score.
Mean = ∑x/n = (0*4) + (1*8)… /20 = ?
To find the modal amount of goals scored by Billy, we need to determine the value(s) that occur most frequently in the data.
Looking at the table, we can see that the number of goals 0 occurred 4 times, the number of goals 1 occurred 8 times, the number of goals 2 occurred 5 times, and the number of goals 3 occurred 3 times.
Since 1 occurred the greatest number of times (8 times), the modal amount of goals scored by Billy is 1.
To find the mean amount of goals scored by Billy, we need to calculate the average of the data.
We multiply each score by its corresponding frequency and then sum up the results. Then, we divide this sum by the total frequency (the sum of all the frequencies).
To calculate the average:
(0 * 4) + (1 * 8) + (2 * 5) + (3 * 3) divided by (4 + 8 + 5 + 3)
= (0 + 8 + 10 + 9) divided by 20
= 27 / 20
= 1.35
Therefore, the mean amount of goals scored by Billy is approximately 1.35.