Question

Match each data set with the shape of its graphical form. uniform skewed to the right skewed to the left symmetrical Data set A: 2, 2, 2, 1, 3, 4, 5 arrowRight Data set B: 1, 4, 2, 3, 4, 5, 6, 4, 7 arrowRight Data set C: 3, 4, 2, 3, 1, 2, 4, 1 arrowRight Data set D: 2, 4, 5, 1, 5, 3, 6, 5 arrowRight

Answer 1

Answer:

A,B,C,D

Step-by-step explanation:

Answer 2

Data set A: skewed to the right (positively skewed)

Data set B: symmetrical

Data set C: skewed to the left (negatively skewed)

Data set D: skewed to the right (positively skewed)

To determine the shape of the graphical form of each data set, we can use a histogram or a box plot.

A histogram is a graphical representation of the frequency distribution of a data set, where the data is divided into intervals or bins and the height of each bar represents the frequency or count of the data falling within that interval.

A box plot, on the other hand, displays the distribution of the data through five measures: minimum, maximum, median, and the first and third quartiles.

In this case, since we only have the data sets themselves and not their graphical representations, we can determine their shapes by examining their measures of central tendency and dispersion.

Skewness is a measure of the asymmetry of a probability distribution, and a symmetrical distribution has no skewness.

A distribution is skewed to the right (positively skewed) if it has a long tail to the right and a distribution is skewed to the left (negatively skewed) if it has a long tail to the left.

A uniform distribution has no skewness and is symmetrical.

So, to match each data set with the shape of its graphical form:

Data set A: This data set has a mode of 2, which is the most common value. However, it also has a long tail to the right with values 4 and 5. This indicates that the data is skewed to the right (positively skewed).

Data set B: This data set has no obvious mode, as each value appears roughly the same number of times. It also has no long tails to the left or right. This indicates that the data is symmetrical.

Data set C: This data set has a mode of 3, which is the most common value. However, it also has a long tail to the left with values 1 and 2. This indicates that the data is skewed to the left (negatively skewed).

Data set D: This data set has a mode of 5, which is the most common value.

It also has a long tail to the right with values 6 and 5. This indicates that the data is skewed to the right (positively skewed).

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