suppose another person was surveyed who said that he spends 3 hrs sleeping at night. How would this affect the mean median mode and range

What is the original distribution?

To determine how the survey response of another person spending 3 hours sleeping at night would affect the mean, median, mode, and range, we need to consider the initial data set and follow these steps:

1. Mean: The mean is the average of the data set. To calculate the mean, add up all the values in the data set and then divide by the total number of values.

- If we know the original data set, including the time spent by the surveyed individual, we can recalculate the mean by adding the new value and dividing by the new total number of values.

- If we don't know the original data set, we cannot determine the specific impact on the mean. However, we can generalize that adding a value closer to the other values in the data set would likely result in only a small change in the mean.

2. Median: The median is the middle value when the data set is arranged in ascending or descending order. If there is an even number of values, the median is the average of the middle two values.

- Adding a value of 3 to the data set could potentially change the median, especially if there was already an odd number of values. If the original data set had an even number of values, the median would remain the same.

3. Mode: The mode is the value or values that occur most frequently in the data set.

- The addition of one more person who spends 3 hours sleeping would only affect the mode if 3 hours was not already the most frequently occurring value. If it was, the mode would remain the same. If it wasn't, the new value would become the additional mode.

4. Range: The range is the difference between the largest and smallest values in the data set.

- Adding a person who spends 3 hours sleeping at night would only affect the range if it is smaller than the smallest value in the original data set or larger than the largest value. If it falls within the existing range, the range would remain the same.

Overall, the impact of adding a person who spends 3 hours sleeping at night would depend on the original data set and the specific values within it.