Question

Norberto received the following scores on his last five spelling tests: 93,66,78,85, and 98 . Which of the following statements is true?The median of the set of scores is 78 . The mode of the set of scores is . The mean of the set is less than the median. The mean of the set is more than the median.

Answer 1

To evaluate the statements about Norberto's spelling test scores (93, 66, 78, 85, and 98), we need to calculate the median, mode, and mean.

1. **Calculate the median:**
- First, we need to arrange the scores in ascending order: 66, 78, 85, 93, 98.
- There are five scores, so the median is the middle value, which is the 3rd score (85).

2. **Calculate the mode:**
- The mode is the value that appears most frequently. Since all the scores are unique, there is no mode in this set.

3. **Calculate the mean:**
- Mean = (sum of scores) / (number of scores) = (66 + 78 + 85 + 93 + 98) / 5.
- Sum = 66 + 78 + 85 + 93 + 98 = 420.
- Mean = 420 / 5 = 84.

Now, we can evaluate the statements:

- **The median of the set of scores is 78.** (False, the median is 85)
- **The mode of the set of scores is .** (True, there is no mode)
- **The mean of the set is less than the median.** (False, mean is 84 and median is 85)
- **The mean of the set is more than the median.** (False, mean is 84 and median is 85)

So, the only true statement is: **The mode of the set of scores is .**