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
It looks like there might have been a mix-up in the question, as you've asked about clothes but then provided a list of numbers related to favorite colors. I'll assume you'd like to analyze the numerical data you provided: 1, 3, 3, 3, 5, 6, 6, 9, 9, 9. Let's find the mean, median, and mode for these numbers. Step 1: Identify the data and count the number of data points. The given data points are: 1, 3, 3, 3, 5, 6, 6, 9, 9, 9. There are 10 data points (n = 10). Step 2: Calculate the Mean. The mean is the sum of all values divided by the number of values. Sum = 1 + 3 + 3 + 3 + 5 + 6 + 6 + 9 + 9 + 9 = 54 Mean = (Sum of values) / (Number of values) Mean = 54 / 10 Mean = 5.4 Step 3: Calculate the Median. The median is the middle value when the data is ordered. Since there are 10 data points (an even number), the median is the average of the two middle values (the 5th and 6th values). Ordered data: 1, 3, 3, 3, 5, 6, 6, 9, 9, 9 The 5th value is 5. The 6th value is 6. Median = (5 + 6) / 2 Median = 11 / 2 Median = 5.5 Step 4: Calculate the Mode. The mode is the value that appears most frequently in the data set. • 1 appears once. • 3 appears three times. • 5 appears once. • 6 appears twice. • 9 appears three times. Both 3 and 9 appear three times, which is the highest frequency. Mode = 3 and 9 (This is a bimodal dataset). Step 5: Calculate the Range. The range is the difference between the maximum and minimum values. Maximum value = 9 Minimum value = 1 Range = Maximum value - Minimum value Range = 9 - 1 Range = 8 That's 2 down. 3 left today — send the next one.