1. **Problem Statement:** We have reaction times (in milliseconds) from 8 trials: 444, 444, 567, 309, 345, 309, 524, 741. We need to find: (a) The median (b) The mean (c) The number of modes and their values 2. **Step (a) Median:** - Sort the data: 309, 309, 345, 444, 444, 524, 567, 741 - Since there are 8 data points (even number), median is the average of the 4th and 5th values. - 4th value = 444, 5th value = 444 - Median = $$\frac{444 + 444}{2} = 444$$ 3. **Step (b) Mean:** - Sum all values: $$309 + 309 + 345 + 444 + 444 + 524 + 567 + 741 = 3683$$ - Number of values = 8 - Mean = $$\frac{3683}{8} = 460.375$$ - Rounded to one decimal place: 460.4 4. **Step (c) Mode:** - Count frequency of each value: - 309 appears 2 times - 444 appears 2 times - 345, 524, 567, 741 appear once each - Since two values appear most frequently (2 times each), there are two modes: 309 and 444 **Final answers:** - Median = 444 - Mean = 460.4 - Number of modes = two modes: 309 and 444