Question

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 feature do you observe from this tabular representation?​

A) The most common commute distance is between 10 and 15 kilometers, with a frequency of 10 engineers falling into this category.
B) The most common commute distance is between 1 and 5 kilometers, with a frequency of 18 engineers falling into this category.

Answer 1

To construct a grouped frequency distribution table with class size 5 for the given data, determine the range, number of class intervals, and count the frequencies. The most common commute distance is between 10 and 15 kilometers.

Step-by-step explanation:

To construct a grouped frequency distribution table with class size 5 for the given data, we start by determining the range of the data. The minimum value in the data is 2 and the maximum value is 32, so the range is 32 - 2 = 30. Next, we determine the number of class intervals. Since the class size is 5, we divide the range by 5 and round up to the nearest whole number. In this case, 30 / 5 = 6, so we will have 6 class intervals.

Starting with the first interval (0 - 5), we count how many engineers have distances within this interval. We continue this process for each interval, increasing the lower and upper bounds by 5 each time. The resulting frequency distribution table will show the number of engineers within each interval.

From the tabular representation, we observe that the most common commute distance is between 10 and 15 kilometers, with a frequency of 10 engineers falling into this category. So, option A is correct.