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 mean, median, and mode of the given distribution of numbers. The numbers are: 2, 3, 4, 5, 6, 7, 3, 2, 3, 2, 2, 1, 0, 8, 7, 1, 4, 3, 2, 6, 1, 2, 2, 0. There are n = 24 numbers in total. a) Mean Step 1: Sum all the numbers. Sum = 2+3+4+5+6+7+3+2+3+2+2+1+0+8+7+1+4+3+2+6+1+2+2+0 = 76 Step 2: Divide the sum by the total count of numbers (n). Mean = Sumn = (76)/(24) = (19)/(6) Mean ≈ 3.1666... The mean is 3.17 (rounded to two decimal places). b) Median Step 1: Arrange the numbers in ascending order. 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 5, 6, 6, 7, 7, 8 Step 2: Since there are n=24 numbers (an even count), the median is the average of the two middle numbers. These are the numbers at the (n)/(2)-th and ((n)/(2) + 1)-th positions. The 12th number is 2. The 13th number is 3. Step 3: Calculate the average of these two numbers. Median = (2 + 3)/(2) = (5)/(2) = 2.5 The median is 2.5. c) Mode Step 1: Identify the frequency of each number in the sorted list. • 0 appears 2 times. • 1 appears 3 times. • 2 appears 7 times. • 3 appears 4 times. • 4 appears 2 times. • 5 appears 1 time. • 6 appears 2 times. • 7 appears 2 times. • 8 appears 1 time. Step 2: The mode is the number that appears most frequently. The number 2 appears 7 times, which is more than any other number. The mode is 2. Send me the next one 📸