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ctivity: Make me Complete hoose your answers in the box elow. Midterm scores of selected Senior High School students in a100- item est \( 82,45,37,98,100,74,87,89,63 \) \( \quad 76,75,61,43,99 \)

Ask by Higgins Whittaker. in the Philippines
Mar 13,2025

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Answer

- Mean: 73.5 - Median: 75.5 - Mode: None - Range: 63

Solution

**Step 1. List the scores** The midterm scores are given as: \[ 82,\; 45,\; 37,\; 98,\; 100,\; 74,\; 87,\; 89,\; 63,\; 76,\; 75,\; 61,\; 43,\; 99 \] **Step 2. Sort the scores in ascending order** Sorting the list we get: \[ 37,\; 43,\; 45,\; 61,\; 63,\; 74,\; 75,\; 76,\; 82,\; 87,\; 89,\; 98,\; 99,\; 100 \] **Step 3. Compute the Mean** To find the mean, add all the scores and divide by the number of scores. First, compute the sum: \[ 37+43+45+61+63+74+75+76+82+87+89+98+99+100=1029 \] There are 14 scores. Thus, the mean is: \[ \text{Mean} = \frac{1029}{14} = 73.5 \] **Step 4. Compute the Median** Since there are 14 scores (an even number), the median is the average of the 7th and 8th values in the sorted list. The 7th score is \(75\) and the 8th score is \(76\). Therefore, the median is: \[ \text{Median} = \frac{75+76}{2} = \frac{151}{2} = 75.5 \] **Step 5. Determine the Mode** A mode is the value that appears most frequently. Each score in the list appears exactly once. Thus, there is: \[ \text{No mode.} \] **Step 6. Compute the Range** The range is the difference between the maximum and minimum scores. The maximum score is \(100\) and the minimum score is \(37\). Hence, the range is: \[ \text{Range} = 100 - 37 = 63 \] **Final Answers** - Mean: \(73.5\) - Median: \(75.5\) - Mode: None (no mode) - Range: \(63\)

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To make your midterm scores complete, let's first compute the average score. By adding all the scores together (82 + 45 + 37 + 98 + 100 + 74 + 87 + 89 + 63 + 76 + 75 + 61 + 43 + 99), we get a total of 1,162. Dividing this by the number of scores (14) gives us an average of approximately 83. This score reflects the overall performance of the students on this particular test! Now, let’s visualize the distribution of these scores. Creating a simple bar graph or a box plot can help in understanding how well the students performed relative to each other. You could easily spot the highs and lows along with identifying any outliers that might skew the average. Remember, visualization is a powerful tool in making data more digestible and insightful!

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