complete the table based on the data set. 23, 21, 18, 23, 28, 15, 8, 16\nmean\nmedian\n1st quartile\n3rd…
complete the table based on the data set. 23, 21, 18, 23, 28, 15, 8, 16\nmean\nmedian\n1st quartile\n3rd quartile\n19 15.5 23 19.5
Answer
Answer:
| Mean | Median | 1st Quartile | 3rd Quartile |
|---|---|---|---|
| 19 | 19.5 | 15.5 | 23 |
Explanation:
Step 1: Sort the dataset
8, 15, 16, 18, 21, 23, 23, 28
Step 2: Calculate the mean
Sum = (8 + 15 + 16 + 18 + 21 + 23 + 23 + 28 = 152), Mean = (\frac{152}{8} = 19)
Step 3: Find the median
Middle values: 18 (4th) and 21 (5th), Median = (\frac{18 + 21}{2} = 19.5)
Step 4: Calculate 1st quartile
Position (Q_1 = \frac{8 + 1}{4} = 2.25), (Q_1 = 15 + 0.25(16 - 15) = 15.5)
Step 5: Calculate 3rd quartile
Position (Q_3 = 3 \times \frac{8 + 1}{4} = 6.75), (Q_3 = 23 + 0.75(23 - 23) = 23)