Question

learning targets

• i can describe the shape of a distribution using the terms \symmetric\, \skewed\

\bell - shaped\, \uniform\ & \bimodal\

• i can calculate mean, median & iqr

for a set of data
1
describe the shape of the distribution. select all that apply.
a) bell - shaped
b) skewed
c) symmetric
d) bimodal
2
describe the shape of the distribution. select all that apply.
a) skewed left
b) uniform
c) bimodal
d) skewed right
3
describe the shape of the distribution. select all that apply.
a) skewed right
b) bimodal
c) symmetric
d) skewed left
4
describe the shape of the distribution. select all that apply.
a) uniform
b) skewed right
c) skewed left
d) bell - shaped
5
describe the shape of the distribution. select all that apply.
a) bell - shaped
b) symmetric
c) bimodal
d) uniform

Explanation:

1.

Step1: Analyze the dot - plot

A symmetric distribution has a mirror - like quality. In a bell - shaped distribution, the data is clustered around the center. This dot - plot is symmetric (if we fold it along the vertical line through the center of the highest cluster, the two sides match) and has a single peak in the middle (bell - shaped). It is not skewed (no long tail on one side) and not bimodal (only one mode).

2.

Step1: Analyze the histogram

A skewed right distribution has a tail on the right side. In this histogram, the bars increase in height up to a certain point and then the tail (fewer data points) is on the right. It is not uniform (all bars would be of similar height), not skewed left (tail on the left), and not bimodal (only one mode).

3.

Step1: Analyze the histogram

A bimodal distribution has two distinct peaks. Looking at the histogram, there are two high - frequency regions (two peaks). It is not symmetric (no mirror - image about a central line), not skewed right (no long right - tail), and not skewed left (no long left - tail).

4.

Step1: Analyze the box - plot

A skewed right distribution has the median closer to the lower quartile and a longer whisker on the right. In this box - plot, the whisker on the right (from the upper quartile to the maximum) is longer. It is not uniform (uniform would have a more evenly spread data representation), not skewed left (longer whisker on the left), and not bell - shaped (box - plot doesn't show a bell - like curve).

5.

Step1: Analyze the dot - plot

A uniform distribution has data points evenly spread across the range. In this dot - plot, the dots are evenly distributed (no clustering around a single point or two points). It is not bell - shaped (no single - peak clustering), not symmetric (symmetry implies a center of balance which is not the case here as it's just even spread), and not bimodal (no two modes).

Answer:

1. a) bell - shaped, c) symmetric
2. d) skewed right
3. b) bimodal
4. b) skewed right
5. d) uniform