In a statistic class, 10 scores were randomly selected with the following results were obtained:

74, 73, 77, 77, 71, 68, 65, 77, 67, 66

What are the inner fences?

To find the inner fences in statistics, you first need to determine the fences. The fences are used to identify potential outliers in a dataset.

Here are the steps to find the inner fences:

Step 1: Sort the data in ascending order:
65, 66, 67, 68, 71, 73, 74, 77, 77, 77

Step 2: Calculate the lower quartile (Q1) and upper quartile (Q3):
Q1 is the median of the lower half of the data: 66
Q3 is the median of the upper half of the data: 77

Step 3: Calculate the interquartile range (IQR):
IQR = Q3 - Q1 = 77 - 66 = 11

Step 4: Calculate the lower fence:
Lower fence = Q1 - (1.5 * IQR) = 66 - (1.5 * 11) = 66 - 16.5 = 49.5

Step 5: Calculate the upper fence:
Upper fence = Q3 + (1.5 * IQR) = 77 + (1.5 * 11) = 77 + 16.5 = 93.5

So, the inner fences for the given dataset are 49.5 (lower fence) and 93.5 (upper fence). Any values below the lower fence or above the upper fence can be considered potential outliers.