Coefficient of skewness for the values
`{:("Median = "18*8''),(Q_(1)" = "14*6''),(Q_(3)" = "25*2''):}` is

Options

A. `0*2`
B. `0*5`
C. `0*7`
D. none of these

Answer

To find the coefficient of skewness using the given values, we will follow these steps:

### Step 1: Write down the formula for the coefficient of skewness.
The formula for the coefficient of skewness (Sk) is given by:

\[ Sk = \frac{Q3 + Q1 - 2 \times \text{Median}}{Q3 - Q1} \]

### Step 2: Identify the values from the question.
From the question, we have:
- Median = 18.8
- Q1 = 14.6
- Q3 = 25.2

### Step 3: Substitute the values into the formula.
Now, we will substitute the values into the formula:

\[ Sk = \frac{25.2 + 14.6 - 2 \times 18.8}{25.2 - 14.6} \]

### Step 4: Calculate the numerator.
First, calculate the numerator:

\[ 25.2 + 14.6 = 39.8 \]
\[ 2 \times 18.8 = 37.6 \]
Now, substitute these values back into the numerator:

\[ 39.8 - 37.6 = 2.2 \]

### Step 5: Calculate the denominator.
Now, calculate the denominator:

\[ 25.2 - 14.6 = 10.6 \]

### Step 6: Divide the numerator by the denominator.
Now, we can find the coefficient of skewness:

\[ Sk = \frac{2.2}{10.6} \]

### Step 7: Perform the division.
Now, perform the division:

\[ Sk \approx 0.2075 \]

### Step 8: Round the result.
Rounding 0.2075 gives us approximately 0.2.

### Final Answer:
The coefficient of skewness is approximately **0.2**.

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