Question

The times, in seconds, taken by 150 atheletes to run a 110 m hurdle race are tabulated below: | Class | 13.8-14 | 14-14.2 | 14.2-14.4 | 14.4-14.6 | 14.6-14.8 | 14.8-15 | |-------|---------|---------|-----------|-----------|-----------|----------| | Frequency | 2 | 4 | 5 | 71 | 48 | 20 | The number of atheletes who completed the race in less then 14.6 seconds is:

The following table shows the cumulative frequency distribution of marks of 800 students in an examination: | Marks | Number of students | |-------|--------------------| | Below 10 | 10 | | Below 20 | 50 | | Below 30 | 130 | | Below 40 | 270 | | Below 50 | 440 | | Below 60 | 570 | | Below 70 | 670 | | Below 80 | 740 | | Below 90 | 780 | | Below 100 | 800 | Construct a frequency distribution table for the data above.

Find the unknown entries a, b, c, d, e, f in the following distribution of heights of students in a class: | Height (in cm) | Frequency | Cumulative frequency | |----------------|-----------|----------------------| | 150-155 | 12 | a | | 155-160 | b | 25 | | 160-165 | 10 | c | | 165-170 | d | 43 | | 170-175 | e | 48 | | 175-180 | 2 | f | | Total | 50 | |

Given below is a cumulative frequency distribution showing the marks secured by 50 students of a class: | Marks | Below 20 | Below 40 | Below 60 | Below 80 | Below 100 | |-------|----------|----------|----------|----------|------------| | Number of students | 17 | 22 | 29 | 37 | 50 | Form the frequency distribution table for the data.