the data set represents the number of snails that each person counted on a walk after a rainstorm. 12, 13…

the data set represents the number of snails that each person counted on a walk after a rainstorm. 12, 13, 22, 16, 6, 10, 13, 14, 12. what is the outlier of the data? 6 11 15 22

the data set represents the number of snails that each person counted on a walk after a rainstorm. 12, 13, 22, 16, 6, 10, 13, 14, 12. what is the outlier of the data? 6 11 15 22

Answer

Explanation:

Step1: Arrange data in ascending order

6, 10, 12, 12, 13, 13, 14, 22

Step2: Calculate quartiles

First, find the median (Q2). Since there are 8 data - points, the median is the average of the 4th and 5th ordered values. So, Q2=$\frac{12 + 13}{2}=12.5$. The lower half of the data is 6, 10, 12, 12. The median of the lower half (Q1) is $\frac{10+12}{2} = 11$. The upper half of the data is 13, 13, 14, 22. The median of the upper half (Q3) is $\frac{13 + 14}{2}=13.5$.

Step3: Calculate the inter - quartile range (IQR)

IQR = Q3 - Q1 = 13.5 - 11 = 2.5.

Step4: Determine the boundaries for outliers

Lower boundary = Q1-1.5×IQR = 11 - 1.5×2.5=11 - 3.75 = 7.25. Upper boundary = Q3 + 1.5×IQR = 13.5+1.5×2.5=13.5 + 3.75 = 17.25. Any value less than 7.25 or greater than 17.25 is an outlier.

Answer:

22