what is the outlier in the following set 28,31,40,26,38,65,39,35,30
The outlier would be 65
are u grade 6 or 7?
An outlier is a number that is much different than the others. Which number in that group is 25 more than the next highest number?
I need help
To find the outlier in a set of numbers, you need to identify the value that is significantly different from the other values in the set. Here's how you can do it step by step:
1. First, arrange the numbers in the set in ascending order: 26, 28, 30, 31, 35, 38, 39, 40, 65.
2. Next, calculate the interquartile range (IQR), which is the difference between the third quartile (Q3) and the first quartile (Q1).
3. To find the first quartile (Q1), first determine the position of the median. Since there are nine numbers, the median is the fifth value (35). Then, find the median of the lower half of the numbers, which is the third value (30). So, Q1 = 30.
4. To find the third quartile (Q3), determine the position of the median (fifth value) and then find the median of the upper half of the numbers, which is the seventh value (39). So, Q3 = 39.
5. Calculate the IQR by subtracting Q1 from Q3: IQR = Q3 - Q1 = 39 - 30 = 9.
6. Finally, identify any values in the set that are more than 1.5 times the IQR away from either Q1 or Q3.
If a number falls below Q1 - 1.5 * IQR or above Q3 + 1.5 * IQR, then it can be considered an outlier.
In the given set of numbers (28, 31, 40, 26, 38, 65, 39, 35, 30), none of the values fall outside the outlier range determined by the IQR calculation. Therefore, there are no outliers in this set.