Find the outlier of the set of data: 30,54,47,45,42,50,54,49 ok guys i really really need help plz help
All the numbers are in the 40s and 50s -- except for one. That's the outlier.
Its B seriously its fricking B you lazy stupid copy paster MFs
are u sure mrs.sue
Yes. Google outlier if you don't trust me.
Thanks yo mama
To find the outlier in a set of data, follow these steps:
1. Calculate the median of the data set. In this case, the data set is: 30, 54, 47, 45, 42, 50, 54, 49.
- To find the median, first, sort the numbers in ascending order: 30, 42, 45, 47, 49, 50, 54, 54.
- Since there are 8 numbers in the data set, the median will be the average of the two middle numbers. In this case, (45 + 47) / 2 = 46.
2. Calculate the interquartile range (IQR) of the data set. The IQR is the difference between the first quartile (Q1) and the third quartile (Q3).
- To find Q1 and Q3, divide the data set into two halves (lower half and upper half).
- The lower half of the data set is: 30, 42, 45, 47.
- The upper half of the data set is: 49, 50, 54, 54.
- To find Q1 and Q3, take the medians of these two halves separately.
- Q1 = median of the lower half = (42 + 45) / 2 = 43.5
- Q3 = median of the upper half = (50 + 54) / 2 = 52
3. Calculate the lower and upper bounds for suspected outliers. The lower bound is Q1 - 1.5 * IQR, and the upper bound is Q3 + 1.5 * IQR.
- In this case, the IQR is 52 - 43.5 = 8.5.
- The lower bound = 43.5 - 1.5 * 8.5 = 43.5 - 12.75 = 30.75
- The upper bound = 52 + 1.5 * 8.5 = 52 + 12.75 = 64.75
4. Identify any value in the data set that is less than the lower bound or greater than the upper bound. These values are potential outliers.
- In this case, the value 30 is less than the lower bound (30.75), so it is a suspected outlier.
Therefore, the outlier in the given set of data is 30.