\( 23,87,19,34,37,87,81,5,14,100,26 \) Mean \( = \) Median \( = \) Mode \( = \) Range \( = \)

Let's first arrange the numbers in increasing order: \[ 5,\; 14,\; 19,\; 23,\; 26,\; 34,\; 37,\; 81,\; 87,\; 87,\; 100 \] **Step 1: Calculate the Mean** The mean is given by \[ \text{Mean} = \frac{\text{Sum of all numbers}}{\text{Number of terms}} \] Calculate the sum: \[ 5 + 14 + 19 + 23 + 26 + 34 + 37 + 81 + 87 + 87 + 100 = 513 \] There are 11 numbers, so \[ \text{Mean} = \frac{513}{11} \approx 46.6364 \] --- **Step 2: Determine the Median** Since there are 11 values (an odd number), the median is the middle value. The middle value is the 6th number in the sorted list: \[ \text{Median} = 34 \] --- **Step 3: Identify the Mode** The mode is the number that appears most frequently. In our list, \( 87 \) appears twice, while all other numbers appear only once: \[ \text{Mode} = 87 \] --- **Step 4: Compute the Range** The range is the difference between the largest and smallest number. Here, the smallest number is \( 5 \) and the largest is \( 100 \): \[ \text{Range} = 100 - 5 = 95 \] --- \(\boxed{ \begin{aligned} \text{Mean} &= \frac{513}{11} \approx 46.6364,\\[5mm] \text{Median} &= 34,\\[5mm] \text{Mode} &= 87,\\[5mm] \text{Range} &= 95. \end{aligned} }\)