Advertisements
Advertisements
प्रश्न
Write the class size and class limits in each of the following:
(i) 104, 114, 124, 134, 144, 154, and 164
(ii) 47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97 and 102
(iii) 12.5, 17.5, 22.5, 27.5, 32.5, 37.5, 42.5, 47.5
उत्तर
(i) 104, 114, 124, 134, 144, 154 and 102
Class size = 114 – 104 = 10
| Class mark | Lower class limit |
Upper class limit |
Class limit |
| 104 | 104-(10/2)=99 | 104+(10/2)=109 | 99-109 |
| 114 | 114-(10/2)=109 | 114+(10/2)=119 | 109-119 |
| 124 | 119 | 129 | 119-129 |
| 134 | 129 | 139 | 129-139 |
| 144 | 139 | 149 | 139-149 |
| 154 | 149 | 159 | 149-159 |
| 164 | 159 | 169 | 159-169 |
(ii) 47, 52, 57, 62, 67, 72, 79, 82, 87, 92, 97, 1102
Class size = 52-47 = 5
| Class mark | Lower class limit |
Upper class limit |
Class limit |
| 47 | 47·(5/2)=44·5 | 47+(5/2)=49·5 | 44·5-49·5 |
| 52 | 49.5 | 54.5 | 49·5-54·5 |
| 57 | 54.5 | 59·5 | 54·5-59·5 |
| 62 | 59·5 | 64·5 | 59·5-64·5 |
| 67 | 64·5 | 69·5 | 64·5-69·5 |
| 72 | 69·5 | 74·5 | 69·5-74·5 |
| 77 | 74·5 | 79·5 | 74·5-79·5 |
| 82 | 79·5 | 84·5 | 79·5-84·5 |
| 87 | 84·5 | 89·5 | 84·5-89·5 |
| 92 | 89·5 | 94·5 | 89·5-94·5 |
| 97 | 94·5 | 99·5 | 94·5-99·5 |
| 102 | 99·5 | 104·5 | 99·5-104·5 |
(iii) Class size =17.5-12.5=5
| Class mark | Lower class limit |
Upper class limit |
Class limit |
| 12·5 | 12·5-(5/2)=10 | 12·5+(5/2)=15 | 10-15 |
| 17·5 | 17·5-2·5=15 | 17·5+2·5=20 | 15-20 |
| 22·5 | 22·5-2·5=20 | 22·5+2·5=25 | 20-25 |
| 27·5 | 27·5-2·5=25 | 27·5+2·5=30 | 25-30 |
| 32·5 | 32·5-2·5=30 | 32·5+2·5=35 | 30-35 |
| 37·5 | 37·5-2·5=35 | 37·5+2·5=40 | 35-40 |
| 42·5 | 42·5-2·5=40 | 42·5+2·5=45 | 40-45 |
| 47.5 | 47·5-2·5=45 | 47·5+2·5=50 | 45-50 |
APPEARS IN
संबंधित प्रश्न
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?
Three coins were tossed 30 times simultaneously. Each time the number of heads occurring was noted down as follows:-
| 0 | 1 | 2 | 2 | 1 | 2 | 3 | 1 | 3 | 0 |
| 1 | 3 | 1 | 1 | 2 | 2 | 0 | 1 | 2 | 1 |
| 3 | 0 | 0 | 1 | 1 | 2 | 3 | 2 | 2 | 0 |
Prepare a frequency distribution table for the data given above.
The marks scored by 40 students of class IX in mathematics are given below:
81, 55, 68, 79, 85, 43, 29, 68, 54, 73, 47, 35, 72, 64, 95, 44, 50, 77, 64, 35, 79, 52, 45, 54, 70,
83, 62, 64, 72, 92, 84, 76, 63, 43, 54, 38, 73, 68, 52, 54.
Prepare a frequency distribution with class size of 10 marks.
Three coins were tossed 30 times. Each time the number of head occurring was noted down
as follows:
0 1 2 2 1 2 3 1 3 0
1 3 1 1 2 2 0 1 2 1
3 0 0 1 1 2 3 2 2 0
Following are the ages of360 patients getting medical treatment in a hospital on a day:
| Age (in years): |
10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 |
| No. of Patients: |
90 | 50 | 60 | 80 | 50 | 30 |
Construct a cumulative frequency distribution.
The difference between the upper and the lower class limits is called
The following marks were obtained by the students in a test:
81, 72, 90, 90, 86, 85, 92, 70, 71, 83, 89, 95, 85, 79, 62
The range of the marks is
Let l be the lower class limit of a class-interval in a frequency distribution and m be the mid point of the class. Then, the upper class limit of the class is
For drawing a frequency polygon of a continous frequency distribution, we plot the points whose ordinates are the frequencies of the respective classes and abcissae are respectively ______.
Convert the given frequency distribution into a continuous grouped frequency distribution:
| Class interval | Frequency |
| 150 – 153 | 7 |
| 154 – 157 | 7 |
| 158 – 161 | 15 |
| 162 – 165 | 10 |
| 166 – 169 | 5 |
| 170 – 173 | 6 |
In which intervals would 153.5 and 157.5 be included?
