Mathematics
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.
Statistics
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Answer
The frequency distribution table for given data is :
| Class | Cumulative frequency | Frequency |
|---|---|---|
| 0 - 4 | 7 | 7 |
| 4 - 7 | 38 | 31 (38 - 7) |
| 7 - 10 | 175 | 137 (175 - 38) |
| 10 - 13 | 248 | 73 (248 - 175) |
| 13 - 16 | 300 | 52 (300 - 248) |
From table,
Frequency of class 10 - 13 = 73.
Hence, the no. of children in the age group 10 - 13 are 73.
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Related Questions
Given below are the marks secured by 35 students in a test:
41, 32, 35, 21, 11, 47, 42, 00, 05, 18, 25, 24, 29, 38, 30, 04, 14, 24, 34, 44, 48, 33, 36, 38, 41, 46, 08, 34, 39, 11, 13, 27, 26, 43, 03.
Taking class intervals 0 - 10, 10 - 20, 20 - 30 …., construct frequency as well as cumulative frequency distribution table. Find the number of students obtaining below 20 marks.
The marks out of 100 of 50 students in a test are given below:
5 35 6 35 18 36 12 36 85 32
20 36 22 38 24 50 22 39 74 31
25 54 25 64 25 70 28 66 58 25
29 72 31 82 31 84 31 82 37 21
32 84 32 92 35 95 34 92 35 5
(i) Taking a class interval of size 10, construct a frequency as well as cumulative frequency table for the given data.
(ii) Which class has the largest frequency?
(iii) How many students score less than 40 marks?
(iv) How many students score first division (60% or more) marks?
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 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.