3. 5.2, 4.9, 3.8, 3.4, 5.2, 4.5 Order: Mean: Median: Mode: Range:show the solutions divided
Answer (1)
Given[tex]5.2,\ 4.9,\ 3.8,\ 3.4,\ 5.2,\ 4.5[/tex]Step 1: Arrange ( least to greatest )[tex]3.4,\ 3.8,\ 4.5,\ 4.9,\ 5.2,\ 5.2[/tex]Step 2: Find the mean[tex]\mathsf{Mean = \frac{\text{Sum of all numbers}}{\text{Total count}}}[/tex][tex]\mathsf{3.4 + 3.8 + 4.5 + 4.9 + 5.2 + 5.2 = 27.0}[/tex][tex]\mathsf{6}[/tex][tex]\mathsf{\frac{27.0}{6} = 4.5}[/tex]Step 3: Find the medianSince there are 6 values (even number), get the average of the 3rd and 4th numbers:3rd = 4.54th = 4.9[tex]\mathsf{Median = \frac{4.5 + 4.9}{2} = \frac{9.4}{2} = 4.7}[/tex]Step 4: Mode (Most frequent)5.2 appears twice[tex]\mathsf{Mode = 5.2}[/tex]Step 5: Range (Difference between highest and lowest)[tex]\mathsf{Range = 5.2 - 3.4 = 1.8}[/tex]ThereforeOrder: 3.4, 3.8, 4.5, 4.9, 5.2, 5.2Mean: 4.5Median: 4.7Mode: 5.2Range: 1.8
