1. **Stating the problem:** We have a stem-and-leaf plot representing marks out of 40 for a Grade 7 Mathematics test. We need to arrange the data in ascending order, find the number of learners, calculate the range, and determine the mean mark. 2. **Arrange the data in ascending order:** The stem represents the tens digit and the leaf the units digit. So the data points are: $10, 11, 13, 13, 14,$ $21, 21, 22, 24, 25, 27, 27, 27,$ $30, 30, 34, 35, 35, 37, 38$ 3. **Count the number of learners:** Count all the leaves: For stem 1: 5 leaves For stem 2: 8 leaves For stem 3: 7 leaves Total learners $= 5 + 8 + 7 = 20$ 4. **Find the range:** The range is the difference between the highest and lowest marks. Lowest mark $= 10$ Highest mark $= 38$ Range $= 38 - 10 = 28$ 5. **Determine the mean mark:** The mean is the sum of all marks divided by the number of learners. Sum of marks: $$10 + 11 + 13 + 13 + 14 + 21 + 21 + 22 + 24 + 25 + 27 + 27 + 27 + 30 + 30 + 34 + 35 + 35 + 37 + 38$$ Calculate the sum step-by-step: $$10 + 11 = 21$$ $$21 + 13 = 34$$ $$34 + 13 = 47$$ $$47 + 14 = 61$$ $$61 + 21 = 82$$ $$82 + 21 = 103$$ $$103 + 22 = 125$$ $$125 + 24 = 149$$ $$149 + 25 = 174$$ $$174 + 27 = 201$$ $$201 + 27 = 228$$ $$228 + 27 = 255$$ $$255 + 30 = 285$$ $$285 + 30 = 315$$ $$315 + 34 = 349$$ $$349 + 35 = 384$$ $$384 + 35 = 419$$ $$419 + 37 = 456$$ $$456 + 38 = 494$$ Mean mark $= \frac{494}{20} = 24.7$ **Final answers:** - Ascending order: $10, 11, 13, 13, 14, 21, 21, 22, 24, 25, 27, 27, 27, 30, 30, 34, 35, 35, 37, 38$ - Number of learners: 20 - Range: 28 - Mean mark: 24.7