Question

vocabulary: symmetric distribution
in a _, the mean is equal to the median.
there is a vertical line of symmetry in the center of the data display. this distribution is symmetric about the data value _.
example of a context is the number of _
vocabulary: skewed distribution
in a _, the mean is not usually equal to the median. one side has more values farther from the bulk of the data.
in this distribution, 1, 2, and 3 are further from the bulk of the data than the data values on the right. this data is skewed _.
example of a context is the _
vocabulary: uniform distribution
a _ has the data values evenly distributed throughout the range of the data.
there will be an _ of each data value. the shape of the distribution will look _

Explanation:

1. For symmetric distribution: In a symmetric distribution, the mean is equal to the median. There is a vertical line of symmetry in the center of the data - display. If we assume the data is evenly spaced around the center, for a simple symmetric data - set like 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 with equal frequencies on both sides of the middle value, the line of symmetry is about the data value 5. An example context could be the number of heads and tails in a large number of coin - tosses.
2. For skewed distribution: In a skewed distribution, the mean is not usually equal to the median. One side has more values farther from the bulk of the data. In the given distribution where 1, 2, and 3 are further from the bulk of the data than the data values on the right, this data is skewed left. An example context is the age of death in a population (where most people die at an older age but there are some early deaths pulling the mean down).
3. For uniform distribution: A uniform distribution has the data values evenly distributed throughout the range of the data. There will be an equal frequency of each data value. The shape of the distribution will look rectangular.

Answer:

1. Symmetric distribution:

• In a symmetric distribution, the mean is equal to the median.
• There is a vertical line of symmetry in the center of the data - display. This distribution is symmetric about the data value 5.
• Example of a context is the number of heads and tails in a large number of coin - tosses.

1. Skewed distribution:

• In a skewed distribution, the mean is not usually equal to the median. One side has more values farther from the bulk of the data.
• In this distribution, 1, 2, and 3 are further from the bulk of the data than the data values on the right. This data is skewed left.
• Example of a context is the age of death in a population.

1. Uniform distribution:

• A uniform distribution has the data values evenly distributed throughout the range of the data.
• There will be an equal frequency of each data value. The shape of the distribution will look rectangular.