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4 9,10,11,6,8,7,7,5,4,5 Tentukan D2, D4 dan P30

Pergunta

4
9,10,11,6,8,7,7,5,4,5
Tentukan D2, D4 dan P30

4 9,10,11,6,8,7,7,5,4,5 Tentukan D2, D4 dan P30

Solução

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QuitériaMestre · Tutor por 5 anos

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### $D_2 = 5$, $D_4 = 6$, $P_{30} = 5.5$

Explicação

## Step 1: Sort the Data<br />### Arrange the given data set in ascending order.<br />### Sorted Data: $4, 5, 5, 6, 7, 7, 8, 9, 10, 11$<br />## Step 2: Calculate $D_2$<br />### $D_2$ is the 2nd decile, which is the 20th percentile.<br />### Position of $D_2$: $P = \frac{20}{100} \times (10 + 1) = 2.2$<br />### $D_2$ is the 2nd value in the sorted data: $5$<br />## Step 3: Calculate $D_4$<br />### $D_4$ is the 4th decile, which is the 40th percentile.<br />### Position of $D_4$: $P = \frac{40}{100} \times (10 + 1) = 4.4$<br />### $D_4$ is the 4th value in the sorted data: $6$<br />## Step 4: Calculate $P_{30}$<br />### $P_{30}$ is the 30th percentile.<br />### Position of $P_{30}$: $P = \frac{30}{100} \times (10 + 1) = 3.3$<br />### $P_{30}$ is the average of the 3rd and 4th values in the sorted data: $\frac{5 + 6}{2} = 5.5$
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