Mathematics Statistics: How to draw a histogram - Part 4 by ghostgtr

mathematics · @ghostgtr · Sep 23 '17

$25.87

Mathematics Statistics: How to draw a histogram - Part 4

<center>https://imgoat.com/uploads/c8349cc726/44697.png</center>
<center>[Source](https://i.ytimg.com/vi/l15vCWg5VDg/maxresdefault.jpg)</center>

# <center>Example 1:</center>
The table below shows the ages of adults in their twenties.  Represent this information in a histogram:
<center>https://imgoat.com/uploads/9d4f495e87/45330.PNG</center>

### Step 1: 
Draw the horizontal axis.
Draw evenly spaced marks to show the ages.
Label the horizontal axis (in this case, the label is "Ages").
<center>https://imgoat.com/uploads/9d4f495e87/45331.PNG</center>
### Step 2:
Draw the vertical axis.
Choose a scale.
Label the vertical axis (in this case, the label is "Frequency")
<center>https://imgoat.com/uploads/9d4f495e87/45332.PNG</center>
### Step 3:
Construct bars for each entry.  
The height of each bar should correspond to the frequency of ages at the base of the bar.  
Place each bar in the middle of each mark.
<center>https://imgoat.com/uploads/9d4f495e87/45333.PNG</center>
According to the table, there are: 
6 people of age 20, 
10 people of age 21, 
14 people of age 22, 
16 people of age 23, 
20 people of age 24, 
12 people of age 25.
### Step 4:
Name the histogram!
In this case, the name of the histogram is "Ages of Adults".
<center>https://imgoat.com/uploads/9d4f495e87/45334.PNG</center>
# <center>Example 2:</center>
The table below shows the heights in meters of a group of students grouped in intervals of length 0.05.
Draw a histogram to represent the data.
<center>https://imgoat.com/uploads/9d4f495e87/45336.PNG</center>
### Step 1:
<center>https://imgoat.com/uploads/9d4f495e87/45337.PNG</center>
### Step 2: 
<center>https://imgoat.com/uploads/9d4f495e87/45338.PNG</center>
### Step 3:
In this case, since there are intervals, we place the bar between the two marks of the intervals.
<center>https://imgoat.com/uploads/9d4f495e87/45339.PNG</center>
According to the table, there are: 
3 students with heights between 1.55 and 1.60
0 students with heights between 1.60 and 1.65
6 students with heights between 1.65 and 1.70
5 students with heights between 1.70 and 1.75
6 students with heights between 1.75 and 1.80
4 students with heights between 1.80 and 1.85
### Step 4:
<center>https://imgoat.com/uploads/9d4f495e87/45341.PNG</center>
<br>
In Part 5, I will explain how to find the interquartile range of a set of ungrouped and unordered data.
Part 1: https://steemit.com/mathematics/@ghostgtr/mathematics-statistics-application-on-cumulative-frequency-part-1
Part 2: https://steemit.com/mathematics/@ghostgtr/mathematics-statistics-application-on-mean-part-2
Part 3: https://steemit.com/mathematics/@ghostgtr/mathematics-statistics-construct-the-relative-frequency-table-of-a-set-of-numbers-part-3

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