Mathematics
The water bills (in rupees) of 32 houses in a locality are given below. Construct a frequency distribution table with a class size of 10.
80, 48, 52, 78, 103, 85, 37, 94, 72, 73, 66, 52, 92, 85, 78, 81, 64, 60, 75, 78, 108, 63, 71, 54, 59, 75, 100, 103, 35, 89, 95, 73.
Answer
Here, maximum = 108 and minimum = 35.
Range = 108 - 35 = 73.
Let us form 8 classes of each size 10.
Since, we want to score 108 in last class and 110 is the upper limit of the last class, so the lower limit of first class is 30.
A frequency distribution with a class size of 10 is follows:
| Classes | Tally marks | Frequency |
|---|---|---|
| 30 - 40 | II | 2 |
| 40 - 50 | I | 1 |
| 50 - 60 | IIII | 4 |
| 60 - 70 | IIII | 4 |
| 70 - 80 | 9 | |
| 80 - 90 | 5 | |
| 90 - 100 | III | 3 |
| 100 - 110 | IIII | 4 |
Related Questions
Construct the frequency distribution table from the following data :
Ages (in years) No. of children below 4 7 below 7 38 below 10 175 below 13 248 below 16 300 State the number of children in the age group 10 - 13.
Rewrite the following cumulative frequency distribution into frequency distribution:
Less than or equal to 10 = 2
Less than or equal to 20 = 7
Less than or equal to 30 = 18
Less than or equal to 40 = 32
Less than or equal to 50 = 43
Less than or equal to 60 = 50
The maximum temperatures (in degree celsius) for Delhi for the month of April, 2014, as reported by the Meteorological Department, are given below:
27.4, 28.3, 23.9, 23.6, 25.4, 27.5, 28.1, 28.4, 30.5, 29.7, 30.6, 31.7, 32.2, 32.6, 33.4, 35.7, 36.1, 37.2, 38.4, 40.1, 40.2, 40.5, 41.1, 42.0, 42.1, 42.3, 42.4, 42.9, 43.1, 43.2.
Construct a frequency distribution table.
The class marks of a distribution are 94, 104, 114, 124, 134, 144 and 154. Determine the class size and the class limits of the fourth class.