Test questions on histogram skew and distribution for 6th grade

📚 Quick Study Guide

• 📈 A histogram is a type of graph that shows the frequency of data in intervals.
• 📊 The shape of the histogram tells us how the data is distributed.
• ➡️ A histogram is symmetrical when the left and right sides look like mirror images.
• 歪 A histogram is skewed when it's not symmetrical. Skew describes the direction of the 'tail'.
• ✔️ A right-skewed (or positively skewed) histogram has a long tail on the right side. This means there are a few high values pulling the average up.
• ✔️ A left-skewed (or negatively skewed) histogram has a long tail on the left side. This means there are a few low values pulling the average down.
• 📏 If the data is evenly distributed, the histogram looks symmetrical and has no skew.

Practice Quiz

1. What does a histogram show?
1. A) The weather forecast
2. B) The frequency of data in intervals
3. C) The names of students in a class
4. D) The colors of the rainbow


2. If a histogram has a long tail on the right side, what kind of skew does it have?
1. A) Left-skewed
2. B) Right-skewed
3. C) Symmetrical
4. D) No skew


3. What does it mean if a histogram is symmetrical?
1. A) It has a very long tail
2. B) The left and right sides are mirror images
3. C) All the data is the same
4. D) There is no data


4. Which of these describes a left-skewed histogram?
1. A) A long tail on the right
2. B) A long tail on the left
3. C) No tail at all
4. D) An even distribution


5. What is another name for a right-skewed histogram?
1. A) Negatively skewed
2. B) Positively skewed
3. C) Perfectly symmetrical
4. D) Flat


6. If a histogram shows the test scores of a class and most scores are high, but a few are very low, what kind of skew would it likely have?
1. A) Right-skewed
2. B) Left-skewed
3. C) Symmetrical
4. D) No skew


7. A histogram displaying ages of people at a retirement home would likely be skewed in which direction?
1. A) Right-skewed
2. B) Left-skewed
3. C) Symmetrical
4. D) Uniform