Zani récords the number of hockey goals she scores un each of five seasons, a shown.
{25,31,39,47,51}
Zani scores 44 hockey goals in the sixth season.
What the mean, median, and range are afecten by adding Zani number of goals scores in the sixth season.
The mean, median, and range are all affected by adding Zani's number of goals scored in the sixth season.
1. Mean: The mean is the average of all the numbers. To find the mean, we add up all the goals and divide by the number of seasons. Without Zani's goals in the sixth season, the mean would be:
(25 + 31 + 39 + 47 + 51) / 5 = 193 / 5 = 38.6
With Zani's 44 goals in the sixth season, the mean becomes:
(25 + 31 + 39 + 47 + 51 + 44) / 6 = 237 / 6 = 39.5
So, adding the sixth season's goals increases the mean from 38.6 to 39.5.
2. Median: The median is the middle value when the numbers are arranged in ascending order. Without Zani's goals in the sixth season, the numbers would be:
25, 31, 39, 47, 51
The middle value is 39, so the median is 39.
With Zani's 44 goals in the sixth season, the numbers become:
25, 31, 39, 44, 47, 51
The middle two values are 39 and 44, so the median becomes (39 + 44) / 2 = 83 / 2 = 41.5
So, adding the sixth season's goals changes the median from 39 to 41.5.
3. Range: The range is the difference between the highest and lowest values. Without Zani's goals in the sixth season, the range would be:
51 - 25 = 26
With Zani's 44 goals in the sixth season, the range becomes:
51 - 25 = 26 (highest value remains the same)
44 - 25 = 19 (lowest value changes)
So, adding the sixth season's goals does not affect the range, as it remains 26.
In summary, adding Zani's number of goals scored in the sixth season affects the mean and median, but not the range.