Answer:
B
Step-by-step explanation:
From inspection of the box plot:
- Minimum value = 24
- Maximum value = 34
- Lower quartile [tex](Q_1)[/tex] = 27
- Upper quartile [tex](Q_3)[/tex] = 33
- Median [tex](Q_2)[/tex] = 31
The median is the middle number in a sorted (ascending or descending) list of numbers. All the numbers in each data set. are sorted in ascending order. Data sets C and D have medians of 30, so we can discount them.
The maximum value on the box plot is 34. Therefore, we can discount option A, since its max value is 35.
Therefore, the answer is option B.
Futher checking with quartiles:
The lower quartile is the value at the first quarter. As there are 9 values per data set, the lower quartile will be the mean of the 2nd and 3rd values.
The upper quartile is the value which is three quarters of the way into the data set. As there are 9 values per data set, the upper lower quartile will be the mean of the 7th and 8th values.
Option B
lower quartile = (25 + 29)/2 = 27
upper quartile = (32 + 34)/2 = 33
This confirms that Option B is the final solution.
