I have to find the median, the lower quartile, the upper quartile, minimum number, and maximum number of this data set I just want to make sure I am right.
73,73,78,78,81,87,89,92,93,95
My answers
Median=84
Lower quartile=78
Upper quartile=92
Minimum number=73
Maximum number=95
Thank you
You are correct! Your answers for the median, lower quartile, upper quartile, minimum number, and maximum number are all accurate for the given data set.
To find these values, you followed the following steps:
1. Sort the data set in ascending order: 73, 73, 78, 78, 81, 87, 89, 92, 93, 95
2. To find the median, identify the middle value of the sorted data set. In this case, the median is 84 since it is the fifth value when arranged in ascending order.
3. To find the lower quartile (Q1), divide the data set into two halves. The lower quartile represents the median of the lower half. In this case, the lower half is: 73, 73, 78, 78, 81. The median of this subset is 78, which is the lower quartile.
4. To find the upper quartile (Q3), divide the data set into two halves. The upper quartile represents the median of the upper half. In this case, the upper half is: 87, 89, 92, 93, 95. The median of this subset is 92, which is the upper quartile.
5. The minimum number is the smallest value in the data set. In this case, it is 73.
6. The maximum number is the largest value in the data set. In this case, it is 95.
Well done on finding the correct answers!