Worksheet: Shapes of Distributions

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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?

  • Apositive skew
  • Bnegative skew

Q2:

Describe the shape of the distribution shown.

  • Apositive skew
  • Bnegative skew
  • Csymmetrical

Q3:

Which of the following is an accurate description of the distribution below?

  • AThe distribution is symmetric.
  • BThe distribution is right-skewed.
  • CThe distribution has a gap from 50 to 70.
  • DThe distribution is left-skewed.
  • EThe mean is 100.

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
  • Bright skewed
  • Csymmetric

Q6:

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

  • Aleft skewed
  • Bright skewed
  • Csymmetric

Q7:

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

  • Asymmetric
  • Bright skewed
  • Cleft skewed

Q8:

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

  • Asymmetric
  • Bleft skewed
  • 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.

  • Aleft skewed
  • Bright skewed
  • Csymmetric

Q11:

Consider the distribution shown.

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

  • Aright-skewed
  • Bleft-skewed
  • Csymmetrical

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

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

Q12:

If 𝑄 − 𝑄 < 𝑄 − 𝑄 , what type of skewness does this indicate?

  • Anegative skew
  • Bpositive skew

Q13:

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

  • Anegative skew
  • Bpositive skew

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