# Worksheet: Shapes of Distributions

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

Q1:

What type of skewness is suggested in the box plot shown? • Anegative skew
• Bpositive skew

Q2:

Describe the shape of the distribution shown. • Asymmetrical
• Bnegative skew
• Cpositive skew

Q3:

Which of the following is an accurate description of the distribution below? • AThe distribution is symmetric.
• BThe mean is 100.
• CThe distribution is left-skewed.
• DThe distribution has a gap from 50 to 70.
• EThe distribution is right-skewed.

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

Q9:

Determine whether the represented data is symmetric, right skewed, or left skewed. • Aright skewed
• Bsymmetric
• Cleft 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