Mathematics

Draw a histogram for the following data:

Class intervalFrequency
600 - 64018
640 - 68045
680 - 720153
720 - 760288
760 - 800171
800 - 84063

Using this histogram, draw the frequency polygon on the same graph.

Statistics

2 Likes

Answer

Frequency distribution table :

Class intervalClass marksFrequency
600 - 64062018
640 - 68066045
680 - 720700153
720 - 760740288
760 - 800780171
800 - 84082063

Steps of construction of histogram:

  1. Since, the scale on x-axis starts at 560, a break (kink) is shown near the origin on x-axis to indicate that the graph is drawn to scale beginning at 560.

  2. Take 1 cm along x-axis = 40 units.

  3. Take 1 cm along y-axis = 50 units.

  4. Construct rectangles corresponding to the above continuous frequency distribution table.

Steps of construction of frequency polygon:

  1. Mark the mid-points of upper bases of rectangles of the histogram.

  2. Join the consecutive mid-points by line-segments.

  3. Join first end point with mid-point of class (560 - 600) with zero frequency, and join the other end point with the mid point of class (840 - 880) with zero frequency.

The required frequency polygon is shown by thick line segments in the diagram.

Draw a histogram for the following data. Graphical Representation of Statistical Data, RSA Mathematics Solutions ICSE Class 10.

Answered By

2 Likes


Related Questions