Histograms and Shapes of Distribution

Multiple Choice

Which of the following description describes the distribution?

• Skewed left

• Skewed right

• Uniform distribution

• Normal distribution (bell shaped)

Multiple Choice

Which of the following description describes the distribution?

• Random distribution - Bimodal

• Skewed distribution - Bimodal

• Uniform distribution

• Symmetric - Multimodal

• Symmetric - Bimodal

Multiple Choice

Which of the following description describes the distribution?

• Skewed left

• Skewed right

• Uniform distribution

• Normal distribution (bell shaped)

Multiple Choice

Which of the following description describes the distribution?

• Skewed left

• Skewed right

• Uniform distribution

• Normal distribution (bell shaped)

Multiple Choice

What do you think is the shape of the distribution of the age at which a child takes its first steps?

• Symmetric – Uniform

• Skewed left

• Skewed right

• Symmetric – Unimodal

• Symmetric – Bimodal

​What do you think is the shape of the distribution of the age at which a child takes its first steps?

​Symmetric Unimodal

​

Most children start to walk around the same age, so the distribution would be centered at about that age (18 mos).

Multiple Choice

What do you think is the shape of the distribution of rolling a 6-sided die 1,000 times is?

• Symmetric – Uniform

• Skewed left

• Skewed right

• Symmetric – Unimodal

• Symmetric – Bimodal

​What do you think is the shape of the distribution of rolling a 6-sided die 1,000 times is?

​Since rolling a die and coming up with 1, 2, 3, 4, 5, or 6 has the same probability, we would expect that after 1000 rolls, we would have a fairly even height distribution across the bars.

Multiple Choice

Match the graph with the data it most likely displays.

• SAT Math Scores of future doctors and engineers.

• Prices of 1,000 homes within a given geographical area.

• Cholesterol levels of 1000 adults.

• Men’s & women’s clothing sizes.

​Men’s & women’s clothing sizes.

​We will have two sets of data to graph and since they wear different sizes we would expect to see two peaks for each of these.

Multiple Choice

Match the graph with the data it most likely displays.

• SAT Math Scores of future doctors and engineers.

• Prices of 1,000 homes within a given geographical area.

• Cholesterol levels of 1000 adults.

• Men’s & women’s clothing sizes.

​Prices of 1,000 homes within a given geographical area.

​It would be expected that a few homes worth millions would make

this distribution skewed right.

Multiple Choice

Match the graph with the data it most likely displays.

• SAT Math Scores of future doctors and engineers.

• Prices of 1,000 homes within a given geographical area.

• Cholesterol levels of 1000 adults.

• Men’s & women’s clothing sizes.

​SAT Math Scores of future doctors and engineers.

​SAT Scores Doctors and engineers would be expected to be very good at math going in to take the SAT, so we would expect this distribution to be skewed left.

Multiple Choice

Match the graph with the data it most likely displays.

• SAT Math Scores of future doctors and engineers.

• Prices of 1,000 homes within a given geographical area.

• Cholesterol levels of 1000 adults.

• Men’s & women’s clothing sizes.

​Cholesterol levels of 1000 adults.

​We would expect a few low and a few high numbers,

but would expect most cholesterol levels in the middle or average range.