Answer: Mean: Mean is an average of a group of numbers or data points. With a group of numbers, the mean is obtained by adding them and dividing by the number of numbers in the group. Median: The median is the middle number in a given sequence of numbers, taken as the average of the two middle numbers when the sequence has an even number of numbers Mode: The mode is the value that appears most often in a set of numbers or data. a). Given set of data is 3 1 2 4 2 2 4 1 4 4 1 1 1 1. Sum of the data points is 3+1+2+4+2+2+4+1+4+4+1+1+1+1=31 Number of data points is 14 By the definition mean=(sum of the numbers)/(number of data points) =(31/14) =2.214 Therefore mean is 2.214 2). To find median of given data first we heve to write the in ascending order. So , the given data in ascending order is as follows 1 1 1 1 1 1 2 2 2 3 4 4 4 4. Since the data has 14(even) number of points , so, we take average of the middle of the two numbers . So the madian is (2+2)/2 =2 Therefore the median is 2 3). In the given data 1 is repaeated more number of times when compared with the other numbers in the data . so, mode of the data is 1. Solution Answer: Mean: Mean is an average of a group of numbers or data points. With a group of numbers, the mean is obtained by adding them and dividing by the number of numbers in the group. Median: The median is the middle number in a given sequence of numbers, taken as the average of the two middle numbers when the sequence has an even number of numbers Mode: The mode is the value that appears most often in a set of numbers or data. a). Given set of data is 3 1 2 4 2 2 4 1 4 4 1 1 1 1. Sum of the data points is 3+1+2+4+2+2+4+1+4+4+1+1+1+1=31 Number of data points is 14 By the definition mean=(sum of the numbers)/(number of data points) =(31/14) =2.214 Therefore mean is 2.214 2). To find median of given data first we heve to write the in ascending order. So , the given data in ascending order is as follows 1 1 1 1 1 1 2 2 2 3 4 4 4 4. Since the data has 14(even) number of points , so, we take average of the middle of the two numbers . So the madian is (2+2)/2 =2 Therefore the median is 2 3). In the given data 1 is repaeated more number of times when compared with the other numbers in the data . so, mode of the data is 1..