This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here are the calculations for the data provided: Data for Males (M_1): 9, 13, 14, 9, 18, 12 Number of data points for males (n_1) = 6 Data for Females (M_2): 15, 12, 15, 13, 11, 9 Number of data points for females (n_2) = 6 --- a. The mean Step 1: Calculate the sum of scores for each group. For Males: x_1 = 9 + 13 + 14 + 9 + 18 + 12 = 75 For Females: x_2 = 15 + 12 + 15 + 13 + 11 + 9 = 75 Step 2: Calculate the mean for each group using the formula x = ( x)/(n). For Males: x_1 = (75)/(6) = 12.5 For Females: x_2 = (75)/(6) = 12.5 The mean for males is 12.5 and for females is 12.5. --- b. The median Step 1: Sort the data for each group in ascending order. For Males: 9, 9, 12, 13, 14, 18 For Females: 9, 11, 12, 13, 15, 15 Step 2: Find the median. Since n=6 (an even number) for both groups, the median is the average of the two middle values (the 3rd and 4th values). For Males: Median_1 = (12 + 13)/(2) = (25)/(2) = 12.5 For Females: Median_2 = (12 + 13)/(2) = (25)/(2) = 12.5 The median for males is 12.5 and for females is 12.5. --- c. The mode Step 1: Identify the value that appears most frequently in each data set. For Males: The data is 9, 13, 14, 9, 18, 12. The value 9 appears twice. For Females: The data is 15, 12, 15, 13, 11, 9. The value 15 appears twice. The mode for males is 9 and for females is $