Question

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

Answer 1

We have the data set `(12, 13, 21, 27, 33, 34, 35, 37, 40, 40, 41)`.

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

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.