Male and female high school students reported how many hours they worked each week in summer jobs. The data is represented in the following box plots:
two box plots shown. The top one is labeled Males. Minimum at 1, Q1 at 3, median at 10.5, Q3 at 14, maximum at 21. The bottom box plot is labeled Females. Minimum at 0, Q1 at 15, median at 18, Q3 at 21, no maximum shown
Identify any values of data that might affect the statistical measures of spread and center
To identify values of data that might affect the statistical measures of spread and center, we need to consider any outliers in the data.
In the given box plots, there is a value of 21 as the maximum for the male students' data. This could potentially be an outlier and may affect the measures of spread and center, such as the range or the median.
However, for the female students' data, there is no value shown as the maximum. Without knowing the maximum value, it is difficult to determine if there are any outliers in the female students' data.
Outliers can have a significant impact on the measures of spread and center, as they can either stretch or skew the distribution. They can affect the calculation of the range, which is the difference between the maximum and minimum values, and also impact measures like the median, which is the middle value of the data.
To better understand the effects of outliers on the statistical measures of spread and center, it would be helpful to have more information about the dataset, including any potential outliers and their values.