The table shows the number of hours that a group of students spent studying for the SAT during their first week of preparation. The students each add 4 hours to their study times in the second week. What are the mean, median, mode, and range of times for the second week?
First Week Study Hours:
3, 4, 5, 6, 7, 8, 9
Second Week Study Hours (After adding 4 hours):
7, 8, 9, 10, 11, 12, 13
Mean:
(7 + 8 + 9 + 10 + 11 + 12 + 13) / 7 = 10
Median:
The median is the middle value when the numbers are arranged in order. There are 7 numbers in total, so the median is the average of the 4th and 5th numbers.
Median = (9 + 10) / 2 = 9.5
Mode:
There is no mode as all numbers appear only once in the data set.
Range:
Range is the difference between the highest and lowest values.
Range = 13 - 7 = 6
Therefore, for the second week:
Mean = 10
Median = 9.5
Mode = None
Range = 6