Question

# The weekly wages (in Rs) of 30 workers in a factory are given:830, 835, 890, 810, 835, 836, 869, 845,898, 890, 820, 860, 832, 833, 855, 845, 804, 808, 812, 840, 885, 835, 835, 836, 878,840, 868, 890, 806, 840 Marks a frequency table with intervals as 800-810, 810-820 and so on, using tally marks Also, draw a histogram and answer the following questions: (i) Which group has the maximum number of workers? (ii) How many workers earn Rs 850 and more? (iii) How many workers earn less than Rs 850?

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Solution

## The frequency table will be as given below: Wages (in Rs)No.of workers800−8103810−8202820−8301830−8409840−8505850−8601860−8703870−8801880−8901890−9004Total30 We represent wages (in Rs) along x-axis and number of workers along y-axis. Taking suitable intervals, we construct rectangle as shown in the figure. This is the required histogram. (i) Maximum workers are in the wage group 830-840. (ii) Number of workers getting Rs 850 and more are 1+3+1+14=10. (iii) Number of workers getting less than Rs 850 are 3+2+1+9+5=20

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