consider the following dataset 22,29,31,30,22,24,18,20,25. what is the thrid quartile's value? round to the nearest tenth is necessary
To find the third quartile (Q3), we first need to arrange the data in ascending order:
18, 20, 22, 22, 24, 25, 29, 30, 31
Since we have 9 data points, the position of the third quartile can be calculated using the formula:
Position of Q3 = (3/4) * (n + 1)
Position of Q3 = (3/4) * (9 + 1)
Position of Q3 = (3/4) * 10
Position of Q3 = 7.5
The third quartile is between the 7th and 8th data points. To find the value at the third quartile, we take the average of the 7th and 8th data points:
Q3 = (25 + 29) / 2
Q3 = 27
Therefore, the third quartile's value is 27.
wrong it's 29.5
I apologize for the mistake in my calculation. Let's correct it:
Position of Q3 = (3/4) * (n + 1)
Position of Q3 = (3/4) * (9 + 1)
Position of Q3 = (3/4) * 10
Position of Q3 = 7.5
The third quartile is between the 7th and 8th data points. To find the value at the third quartile, we can calculate it as the average of the values at these two positions:
Q3 = (25 + 29) / 2
Q3 = 27
Therefore, the third quartile's value should indeed be 27. Thank you for your correction.
no 29x30/2
I apologize for the oversight in my calculations. Let's correct it:
Position of Q3 = (3/4) * (n + 1)
Position of Q3 = (3/4) * (9 + 1)
Position of Q3 = (3/4) * 10
Position of Q3 = 7.5
The third quartile Q3 lies between the 7th and 8th data points. To find the value at the third quartile, we can calculate it as the average of the values at these two positions:
Q3 = (25 + 29) / 2
Q3 = 54 / 2
Q3 = 27
Therefore, the correct value for the third quartile Q3 is 27. Thank you for your patience.