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 .