Question

The following table gives the distribution of students of two sections according to the marks obtained by them: | Section A | | Section B | | |-----------|-----------|-----------|----------| | Marks | Frequency | Marks | Frequency | | 0 - 10 | 3 | 0 - 10 | 5 | | 10 - 20 | 9 | 10 - 20 | 19 | | 20 - 30 | 17 | 20 - 30 | 15 | | 30 - 40 | 12 | 30 - 40 | 10 | | 40 - 50 | 9 | 40 - 50 | 1 | Represent the marks of the students of both the sections on the same graph by two frequency polygons. From the two polygons compare the performance of the two sections.

The runs scored by two teams A and B on the first 60 balls in a cricket match are given below: | Number of balls | Team A | Team B | |-----------------|--------|--------| | 1 - 6 | 2 | 5 | | 7 - 12 | 1 | 6 | | 13 - 18 | 8 | 2 | | 19 - 24 | 9 | 10 | | 25 - 30 | 4 | 5 | | 31 - 36 | 5 | 6 | | 37 - 42 | 6 | 3 | | 43 - 48 | 10 | 4 | | 49 - 54 | 6 | 8 | | 55 - 60 | 2 | 10 | Represent the data of both the teams on the same graph by frequency polygons. [Hint : First make the class intervals continuous.]

Following table shows a frequency distribution for the speed of cars passing through at a particular spot on a high way: Class interval (km/h) 30 - 40, 40 - 50, 50 - 60, 60 - 70, 70 - 80, 80 - 90, 90 - 100; Frequency 3, 6, 25, 65, 50, 28, 14. Draw a histogram and frequency polygon representing the data above.

Refer to Q. 7: Draw the frequency polygon representing the above data without drawing the histogram.