3. What is the value of the median of the following raw scores? X= 3, 5, 5, 5, 6, 6, 7, 7, 7, 8, 10
a. 6
b. 6.22
c. 6.5
d. 5
4. What is the range of the scores in problem 3?
5. What is the value of the mode of the scores from problem 3?
a. 7
b. 6
c. 5
d. both a and c
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3. The value of the median of the following raw scores is:
- Arrange scores in ascending order: 3, 5, 5, 5, 6, 6, 7, 7, 7, 8, 10
- Median is the middle value as the data set has an odd number of values, so the median is the middle number which is 6.
Therefore, the answer is a. 6.
4. The range of the scores in problem 3 is the difference between the highest and lowest values, so:
Range = 10 (highest value) - 3 (lowest value) = 10 - 3 = 7
5. The value of the mode of the scores from problem 3 is the value(s) that appear most frequently. In this case, the mode(s) are 5, 6, and 7 because they each appear 3 times in the data set.
Therefore, the answer is d. both a and c.
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