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 𝑄𝑄<𝑄𝑄, 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 𝑄𝑄𝑄𝑄, what does this suggest about the shape of the distribution?

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

Q18:

If 𝑄𝑄>𝑄𝑄, what type of skewness does this indicate?

  • Anegative skew
  • Bpositive skew

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