Calculate the mode, range, and median for the given data set: 15, 5, 20, 7, 18, 19, 10, 9, 15, 13, 2, 12. Define mode and median. Also, define categorical data.

Here are the solutions to the data handling questions. Activity 1: Data handling The data set is: 15, 5, 20, 7, 18, 19, 10, 9, 15, 13, 2, 12. Step 1: Define the term mode. The mode is the value that appears most frequently in a data set. Step 2: Arrange the data in an ascending order. The given data points are: 15, 5, 20, 7, 18, 19, 10, 9, 15, 13, 2, 12. Arranging them in ascending order gives: 2, 5, 7, 9, 10, 12, 13, 15, 15, 18, 19, 20 The ascending order is: 2, 5, 7, 9, 10, 12, 13, 15, 15, 18, 19, 20 Step 3: Calculate the range. The range is the difference between the maximum and minimum values in the data set. Maximum value = 20 Minimum value = 2 Range = Maximum value - Minimum value Range = 20 - 2 = 18 The range is: 18 Step 4: Determine the data median. The median is the middle value of a data set when it is ordered. The ordered data set has 12 values: 2, 5, 7, 9, 10, 12, 13, 15, 15, 18, 19, 20. Since there is an even number of values (12), the median is the average of the two middle values (the 6th and 7th values). The 6th value is 12. The 7th value is 13. Median = (12 + 13)/(2) = (25)/(2) = 12.5 The median is: 12.5 --- Activity 2 The data set is: 1mm, 5mm, 7mm, A, 3mm, 7mm, 1mm, 7mm, 5mm. Step 1: Define the term categorical data. Categorical data represents characteristics or qualities that can be divided into groups or categories. These categories can be nominal (no inherent order) or ordinal (with an inherent order). Step 2: Is the data above continuous or discrete? Give a reason for your answer. The data represents measurements of length in millimeters. Measurements can take any value within a given range. The data is continuous. Reason: Continuous data can take any value within a given interval, including fractions or decimals, and these measurements are not restricted to specific, distinct values. Step 3: The range of the data set is calculated to be 19mm. Use the range and the data set to calculate the maximum represented by A. First, list the known numerical values in ascending order: 1mm, 1mm, 3mm, 5mm, 5mm, 7mm, 7mm, 7mm. The minimum value in the known data is 1mm.