How many outliers are in the following data set?167, 180, 188, 177, 181, 185, 189Select one:ZeroOneTwoThreeFourFive

To determine the number of outliers in a data set, we first need to calculate the interquartile range (IQR). The IQR is the range within which the central 50% of your data falls. Here are the steps:

1. Arrange the data in increasing order: 167, 177, 180, 181, 185, 188, 189
2. Find the median (Q2): 181
3. Find the lower quartile (Q1), which is the median of the first half of the data: 177
4. Find the upper quartile (Q3), which is the median of the second half of the data: 188
5. Calculate the interquartile range (IQR = Q3 - Q1): 188 - 177 = 11
6. Calculate the lower bound (Q1 - 1.5IQR): 177 - 1.511 = 160.5
7. Calculate the upper bound (Q3 + 1.5IQR): 188 + 1.511 = 204.5

Any data point that falls below the lower bound or above the upper bound is considered an outlier. In this case, all the data points are within the range of 160.5 to 204.5. Therefore, there are zero outliers in this data set.