The mean number of games attended by boys is estimated to be 8, while for girls, it's approximately 9. The dot plot illustrates common attendance patterns and individual variations around 5 to 11.
1. The mean number of estimates for the boys would be as follows:
sum of boys responses / number of boys responses.
= 5 + 7 + 8 + 9 + 11 / 5
= 40/5
= 8
So , the number of of the games boys attended is 8.
2. The mean number of estimates for the girls would be:
sum of girls responses / number of girls responses.
= 7 + 9 + 10 + 11/ 4
= 37/ 4
= 9.25
estimating it , so the mean number of games the girls attended is 9 .
3. From the estimations made for the boys and girls based on the dot plot, several observations can be derived:
Mean Number of Games Boys Attended:
The mean number of games attended by boys, estimated to be 8, indicates a central tendency in boys' responses. However, it's worth noting that this is an average, and individual responses may vary. The majority of boys attended games in the range of 5 to 11, contributing to the higher average.
Mean Number of Games Girls Attended:
The estimated mean number of games attended by girls is 9.25, rounded down to 9. This suggests that girls, on average, attended a slightly higher number of games compared to boys. The data reveals a concentration of responses around the range of 5 to 11, similar to the boys.
General Observations:
Both boys and girls attended games primarily in the range of 5 to 11, indicating a common pattern of attendance.
One observation of note is that a girl attended 11 games, possibly indicating a high level of interest or participation compared to others.
The dot plot provides a visual representation of the distribution of responses, allowing for a quick assessment of the data's central tendency and spread.
These observations offer insights into the patterns of attendance among boys and girls, highlighting common trends and individual variations.