# How do you construct a histogram using the data 12, 13, 21, 27, 33, 34, 35, 37, 40, 40, 41?

Jun 7, 2015

We have the data set $\left(12 , 13 , 21 , 27 , 33 , 34 , 35 , 37 , 40 , 40 , 41\right)$.

1) Transform it into an ordered data set: $\left(12 , 13 , 21 , 27 , 33 , 34 , 35 , 37 , 40 , 40 , 41\right)$

2) The data points range from $12$ to $41$. This gives us a data spread of $30$.

3) Split this data range into convenient equal intervals: for example, we can use 6 intervals with the interval step of 5:

• interval 1: from $12$ to $16$
• interval 2: from $17$ to $21$
• interval 3: from $22$ to $26$
• interval 4: from $27$ to $31$
• interval 5: from $32$ to $36$
• interval 6: from $37$ to $41$

4) Build the frequency table for the intervals 1-6:

1. Number of data points within interval 1: $2$
2. Number of data points within interval 2: $1$
3. Number of data points within interval 3: $0$
4. Number of data points within interval 4: $1$
5. Number of data points within interval 5: $3$
6. Number of data points within interval 6: $4$

5) Get the histogram from the frequency table by using a column chart type. Data values will be represented on the x-axis and the frequencies on the y-axis. 