The distance (in km) of 40 engineers from their residence to their place of work were found as follows: 5 3 10 20 25 11 13 7 12 31 19 10 12 17 18 11 32 17 16 2 7 9 7 8 3 5 12 15 18 3 12 14 2 9 6 15 15 7 6 12 Construct a grouped frequency distribution table with class size 5 for the data given above taking the first interval as 0-5 (5 not included). What main features do you observe from this tabular representation?

The distance (in km) of 40 engineers from their residence to their place of work were found as follows: 5 3 10 20 25 11 13 7 12 31 19 10 12 17 18 11 32 17 16 2 7 9 7 8 3 5 12 15 18 3 12 14 2 9 6 15 15 7 6 12 What is the empirical probability that an engineer lives: within 1/2 km from her place of work?

The distance (in km) of 40 engineers from their residence to their place of work were found as follows: 5 3 10 20 25 11 13 7 12 31 19 10 12 17 18 11 32 17 16 2 7 9 7 8 3 5 12 15 18 3 12 14 2 9 6 15 15 7 6 12 What is the empirical probability that an engineer lives: more than or equal to 7 km from her place of work?

The distances (in km) of 40 female engineers from their residence to their place of work were found as follows: 5 3 10 20 25 11 13 7 12 31 19 10 12 17 18 11 32 17 16 2 12 14 2 9 6 15 15 7 6 2 Find the probability that an engineer lives: less than 7 km from here place of work? at least 7km from her place of work? within 1/2k m from her place of work? at most 15km from her place of work?

The distances (in km) of 40 female engineers from their residence to their place of work were found as follows: 5 19 7 12 3 10 9 14 10 12 7 2 20 17 8 9 25 18 3 6 11 11 5 15 13 32 12 15 7 17 15 7 12 16 18 6 31 2 3 2 Find the probability that an engineer lives: (i) less than 7 km from her place of work? (ii) at least 7 km from her place of work? (iii) within 1/2 km from her place of work (xi) from her place of work? (xii) at most 15km from her place of work?

1, 5, 5, 9, 7, 11, 11, 15, 12, 17

Thirty children were asked about the number of hours they watched TV programmes in the previous week. The results were found as follows: 1 6 2 3 5 12 5 8 4 8 10 3 4 12 2 8 15 1 17 6 3 2 8 5 9 6 8 7 14 12 (i) Make a grouped frequency distribution table for this data, taking class width 5 and one of the class intervals as 5 - 10. (ii) How many children watched television for 15 or more hours a week?

The marks obtained (out of 20) by 30 students of a class in a test are as follows: 14, 16, 15, 11, 15, 14, 13, 16, 8, 10, 7, 11, 18, 15, 14, 19, 20, 7, 10, 13, 12, 14, 15, 13, 16, 17, 14, 11, 10, 20. Prepare a frequency distribution table for the above data using class intervals of equal width in which one class interval is 4-8 (excluding 8 and including 4).

Calculate the mode of the following data : 17, 10, 12, 11, 10, 15, 11,14, 11, 12, 13, 11