The test scores for 9 students on the Unit 1 test were 35, 25, 50, 95, 80, 60, 45, 100, and 90. What is the value of the second quartile for this data set?
Well, let's see... Ah, the second quartile, also known as the median. So we have to find the middle point of the data set.
First, let's put the scores in order from smallest to largest: 25, 35, 45, 50, 60, 80, 90, 95, 100.
Now, let's count... 9 scores in total. Since 9 is odd, the median will be the middle number, which in this case is the 5th score.
So, the second quartile for this data set is 60! Ta-da!
To find the second quartile, also known as the median, for the given data set, follow these steps:
1. Arrange the data in ascending order: 25, 35, 45, 50, 60, 80, 90, 95, 100.
2. Determine the position of the median:
- The data set has 9 students, so the middle position is (9 + 1) / 2 = 10 / 2 = 5th position.
- Since the position is not a whole number, we take the average of the values at positions 5 and 6.
3. Find the value at the median position:
- The value at the 5th position is 60, and the value at the 6th position is 80.
- Taking the average, the median value is (60 + 80) / 2 = 70.
Therefore, the second quartile for the given data set is 70.
To find the value of the second quartile, we first need to organize the data set in ascending order.
The test scores in ascending order are: 25, 35, 45, 50, 60, 80, 90, 95, 100.
The second quartile, also known as the median, is the middle value in a data set when the values are arranged in ascending order.
Since we have an odd number of data points (9), the median will be the middle value, which is the 5th value in the data set.
From the ordered data set above, the value at the 5th position is 60.
Therefore, the value of the second quartile for this data set is 60.
put them in rank
25;35;45;50;60;80;90;95;100
Median 60, fourth quartile 92.5, second quartile 40