Michael and Mindy are working on a project about names. Using a phone book, Michael randomly selected ten people and recorded ho
w many letters their first names had. Then, he found the median number of letters. In all, he took 100 such samples. Mindy did the same with last names. The results are in the box plots below. Which statement is most accurate?
A. About 75% of the time, the median number of letters from the samples of first names was greater than or equal to 5. About the same percentage of the time, the median number of letters from the samples of last names was less than or equal to 5.
B. About 75% of the time, the median number of letters from the samples of first names was less than or equal to 6. About the same percentage of the time, the median number of letters from the samples of last names was greater than or equal to 6.
C. About 50% of the first names that were selected had either 5 or 6 letters. About the same percentage of last names that were selected had either 6 or 7 letters.
D. About 25% of the first names that were selected had fewer than 5 letters, while all of the last names that were selected had at least 5 letters.
A. About 75% of the time, the median number of letters from the samples of first names was greater than or equal to 5. About the same percentage of the time, the median number of letters from the samples of last names was less than or equal to 5.
B. About 75% of the time, the median number of letters from the samples of first names was less than or equal to 6. About the same percentage of the time, the median number of letters from the samples of last names was greater than or equal to 6.
C. About 50% of the first names that were selected had either 5 or 6 letters. About the same percentage of last names that were selected had either 6 or 7 letters.
D. About 25% of the first names that were selected had fewer than 5 letters, while all of the last names that were selected had at least 5 letters.
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This pattern forms an arithmetic sequence with the first term . The difference between two consecutive terms of this sequence is 6. The rule to calculate the other term of the sequence is is to add 6 to the previous term. This can be archived as shown in the calculations below,
The first terms of this sequence are 5, 11, 17, 23,29.