find the first and third quartile in the set of numbers
3,4,8,8,8,11,13,14,15,18 is it q1=3 and q3 = 18
No.
To find the first and third quartiles in a set of numbers, you need to follow these steps:
1. Arrange the numbers in ascending order: 3, 4, 8, 8, 8, 11, 13, 14, 15, 18.
2. Calculate the position of the first quartile (Q1) using the formula: (n + 1) / 4, where n is the total number of values in the set.
In this case, (10 + 1) / 4 equals 2.75.
3. Identify the two values that surround the position of the first quartile. In this case, it would be the second and third values: 4 and 8.
4. Calculate the first quartile value as the average of the two values: (4 + 8) / 2 equals 6.
So, in the set of numbers you provided (3, 4, 8, 8, 8, 11, 13, 14, 15, 18), the first quartile (Q1) is 6.
5. Calculate the position of the third quartile (Q3) using the formula: 3 * (n + 1) / 4.
In this case, 3 * (10 + 1) / 4 equals 8.25.
6. Identify the two values that surround the position of the third quartile. In this case, it would be the eighth and ninth values: 14 and 15.
7. Calculate the third quartile value as the average of the two values: (14 + 15) / 2 equals 14.5.
Therefore, in the set of numbers you provided, the third quartile (Q3) is 14.5.
So, the correct values for the first quartile (Q1) and the third quartile (Q3) in the set of numbers 3, 4, 8, 8, 8, 11, 13, 14, 15, 18 are Q1 = 6 and Q3 = 14.5, not Q1 = 3 and Q3 = 18.