Histogram
HISTOGRAM
INTRODUCTION
Histogram
* Histograms are graphs of a distribution of data designed to show centring, dispersion (spread), and shape (relative frequency) of the data.
* Histograms can provide a visual display of large amounts of data that are difficult to understand in a tabular, or spreadsheet form.
* A histogram shows much the same information as a stem plot, though for a given dataset one or the other of these methods of displaying the data may be preferable. Some points to note:
1. Histograms are preferable for larger datasets as stem plots become unwieldy; 2. With histograms, the original data are usually lost; 3. The choice of bin size or number of bins is not restricted, unlike the stem plot; 4. Histograms take more time than a stem plot to construct by hand; therefore stem plots are preferable for a small dataset.
Ogive
* The relative slopes from point to point will indicate greater or lesser increases.
* The graph of the cumulative frequency distribution is better known as cumulative frequency curve or Ogive.
3 K'S
WHAT WE KNOW | WHAT WE DON’T KNOW | WHAT WE NEED TO KNOW | Basic GMI grade requirement subject | Definition ogive | the ratio of grade of 50 student GMI | How to calculate the mode, mean and median | How many student GMI obtained B+ | Benefit of histogram | Function of histogram | how to make histogram | The importance of ogive |
PROBLEM STATEMENT
50 student of German-Malaysia Institute just had their Mathematics II examination and their result are as follows:
23 75 35 65 47 62 59 51 57 44
50 12 47 52 48 51 64 54 65 30
38 33 43 60 55 48 77 72 54 46
42 26 52 27 58 50 15 68 43 67
63 39 56 34 59 41 21 36 56 53
Based on the above data you are required to represent the data in a histogram. Then calculate the measures of its central tendencies.
Next construct an ogive, and answer these question: I. Find the interquartile range II. How many students
INTRODUCTION
Histogram
* Histograms are graphs of a distribution of data designed to show centring, dispersion (spread), and shape (relative frequency) of the data.
* Histograms can provide a visual display of large amounts of data that are difficult to understand in a tabular, or spreadsheet form.
* A histogram shows much the same information as a stem plot, though for a given dataset one or the other of these methods of displaying the data may be preferable. Some points to note:
1. Histograms are preferable for larger datasets as stem plots become unwieldy; 2. With histograms, the original data are usually lost; 3. The choice of bin size or number of bins is not restricted, unlike the stem plot; 4. Histograms take more time than a stem plot to construct by hand; therefore stem plots are preferable for a small dataset.
Ogive
* The relative slopes from point to point will indicate greater or lesser increases.
* The graph of the cumulative frequency distribution is better known as cumulative frequency curve or Ogive.
3 K'S
WHAT WE KNOW | WHAT WE DON’T KNOW | WHAT WE NEED TO KNOW | Basic GMI grade requirement subject | Definition ogive | the ratio of grade of 50 student GMI | How to calculate the mode, mean and median | How many student GMI obtained B+ | Benefit of histogram | Function of histogram | how to make histogram | The importance of ogive |
PROBLEM STATEMENT
50 student of German-Malaysia Institute just had their Mathematics II examination and their result are as follows:
23 75 35 65 47 62 59 51 57 44
50 12 47 52 48 51 64 54 65 30
38 33 43 60 55 48 77 72 54 46
42 26 52 27 58 50 15 68 43 67
63 39 56 34 59 41 21 36 56 53
Based on the above data you are required to represent the data in a histogram. Then calculate the measures of its central tendencies.
Next construct an ogive, and answer these question: I. Find the interquartile range II. How many students