Final answer:
The correct answer is a) The mode is 6, as this is the number that occurs most frequently in the given data set. All the other statements incorrect the mean and median are actually 6, and the range is 4.
Step-by-step explanation:
The question presents a data set with the following raw scores: 4, 5, 6, 6, 7, 8, and asks which of the following statements is true: a) The mode is 6 b) The mean is 6 c) The median is 6 d) The range is 4. To determine the correct answer, we have to calculate the mode, mean, median, and range of the given set.
- The mode is the number that appears most frequently in a data set. Here, the number 6 is the mode because it appears twice, more than any other number.
- To find the mean (average), we add all the numbers together and divide by the count of numbers. The mean is (4+5+6+6+7+8)/6 = 36/6 = 6.
- The median is the middle value when the numbers are in order. Since we have an even count of numbers, the median is the average of the two middle numbers, which are 6 and 6, so the median is 6.
- The range is the difference between the highest and lowest values. In this case, the range is 8 - 4 = 4.
Therefore, the correct answer is a) The mode is 6, because this statement is factually accurate.