Question

. For the given data set:574, 526, 512, 579, 595, 517, 524, 552, 558, 541Sketch a Histogram with the following Shapes: a. Approximately Bell-Shaped b. Skewed Left c. Skewed Right d. Uniform

Answer 1

The histogram on the x-axis represents the data and on the y-axis represents the frequency:

a. Approximately Bell-Shaped

We have the next data set:

4; 5; 6; 6; 6; 7; 7; 7; 7; 7; 7; 8; 8; 8; 9; 10

The mode is 7 because is the value most repeated

The mean is 7 because:

`\begin{gathered} =(4+5+6+6+6+7+7+7+7+7+7+8+8+8+9+10)/(16) \\ =7 \end{gathered}`

The median is 7.

Hence, we have the next histogram approximately Bell-Shaped:

4 - frequency of 1

5-frequency of 1

6- frequency of 3

7- frequency of 6

8 -frequency of 3

9 -frequency of 1

10- frequency of 1

Then:

b. Skewed Left

We have the next data set:

4566677778

This histogram is not symmetrical. Then, the mode, the median, and the mean are different.

c. Skewed Right

We have the next data set:

6;7;7;7;7;8;8;8;9;10

d.Uniform

We have the next data set

4,4,4,4,5,5,5,5,6,6,6,6,7,7,7,7,8,8,8

It is uniform because some of the values have the same frequency or near value to each other.