Question

lesson 4: the shape of distributions
learning goals: lets explore data and describe distributions.
4.1: which one doesnt belong: distribution shape
which one doesnt belong?
a.
b.
c.
d.
bell - shaped distribution
a distribution whose data is clustered in the center with fewer points toward the outside
bimodal distribution
a distribution with two very common data values seen in a dot plot or histogram as distinct peaks. in the dot plot shown, the two common data values are 2 and 7.
skewed distribution
a distribution where one side has a cluster of data and the other side has a tail. in the dot plot shown, the data is skewed to the left because that is where the atypical values are located.
symmetric distribution
a distribution that can be split in the middle with a perfect reflection. the mean is equal to the median. in the dot plot shown, the distribution is symmetric about the data value 5.
uniform distribution
a distribution which has the data values evenly distributed throughout the range of the data.

Explanation:

Step1: Analyze Distribution A

Distribution A appears to be symmetric. The data is evenly spread around a central value and can be split in the middle with a perfect reflection.

Step2: Analyze Distribution B

Distribution B is skewed. It has a cluster of data on one - side and a tail on the other side.

Step3: Analyze Distribution C

Distribution C is uniform. The data values are evenly distributed throughout the range of the data.

Step4: Analyze Distribution D

Distribution D is symmetric. The data is balanced around a central point.

Since A, C, and D have some form of symmetry or even distribution (uniform is a special case of symmetric in a sense of equal - spacing), while B is skewed.

Answer:

B