# Worksheet: Shapes of Distributions

In this worksheet, we will practice determining whether the represented data is symmetric, right-skewed, or left-skewed.

**Q2: **

Describe the shape of the distribution shown.

- Asymmetrical
- Bnegative skew
- Cpositive skew

**Q4: **

Determine whether the represented data is symmetric, right skewed, or left skewed.

- Aleft skewed
- Bsymmetric
- Cright skewed

**Q5: **

Determine whether the represented data is symmetric, right skewed, or left skewed.

- Aleft skewed
- Bsymmetric
- Cright skewed

**Q6: **

Determine whether the represented data is symmetric, right skewed, or left skewed.

- Aright skewed
- Bsymmetric
- Cleft skewed

**Q7: **

Determine whether the represented data is symmetric, right skewed, or left skewed.

- Aright skewed
- Bleft skewed
- Csymmetric

**Q8: **

Determine whether the represented data is symmetric, right skewed, or left skewed.

- Aleft skewed
- Bsymmetric
- Cright skewed

**Q10: **

Determine whether the represented data is symmetric, right skewed, or left skewed.

- Aright skewed
- Bsymmetric
- Cleft skewed

**Q11: **

Consider the distribution shown.

Which of the following terms best describes the shape of the distribution shown?

- Aleft-skewed
- Bsymmetrical
- Cright-skewed

Which of the following statements is true for the distribution shown?

- AThe mean, the median, and the mode are all equal.
- BThe median is less than the mean.
- CThe mode is less than the mean but greater than the median.
- DThe mode is greater than both the mean and the median.
- EThe mode is less than the median but greater than the mean.

**Q12: **

If , what type of skewness does this indicate?

- Apositive skew
- Bnegative skew

**Q13: **

What type of skewness is suggested in the box plot shown?

- APositive skew
- BNegative skew

**Q14: **

Determine whether the represented data is approximately symmetric, right skewed, or left skewed.

- Aright skewed
- Bleft skewed
- Capproximately symmetric

**Q15: **

Determine whether the represented data is symmetric, right skewed, or left skewed.

- Aright skewed
- Bsymmetric
- Cleft skewed

**Q16: **

Which of the statements is correct for the distribution represented by the diagram?

- AThe mean is 14.
- BThe data is symmertic.
- CThe data is clustered around a peak of 8.
- DThe data has a gap and is not symmetric.
- EThe distribution has an outlier and is not symmetric.

**Q17: **

If , what does this suggest about the shape of the distribution?

- AIt is positively skewed.
- BIt is symmetrical.
- CIt is negatively skewed.

**Q18: **

If , what type of skewness does this indicate?

- Anegative skew
- Bpositive skew