In worksheet on frequency distribution the questions are based on arranging data in ascending order or descending order and constructing the frequency distribution table.
1. Arrange the following data in ascending order.
(a) 7, 2, 10, 14, 0, 6, 15, 24, 8, 3
(b) 4.6, 8.1, 2.0, 3.5, 0.7, 9.3, 1.4, 0.8
2. Arrange the following data in descending order.
(a) 14, 2, 0, 10, 6, 1, 22, 13, 28, 4, 8, 16
(b) 1.2, 3.5, 0.1, 0.3, 2.4, 8.6, 5.0, 3.7, 0.7, 0.9
3. Construct the frequency table for each of the following.
(a) 4, 3, 6, 5, 2, 4, 3, 3, 6, 4, 2, 3, 2, 2, 3, 3, 4, 5, 6, 4, 2, 3, 4
(b) 6, 7, 5, 4, 5, 6, 6, 8, 7, 9, 6, 5, 6, 7, 7, 8, 9, 4, 6, 7, 6, 5
4. The marks obtained out of 25 by 30 students of a class in the examination are given below.
20, 6, 23, 19, 9, 14, 15, 3, 1, 12, 10, 20, 13, 3, 17, 10, 11, 6, 21, 9, 6, 10, 9, 4, 5, 1, 5, 11, 7, 24
Represent the above data as a grouped data taking the class interval 0  5
5. Complete the table given below.
(a)
(b)
6. Weekly pocket expenses (in $) of 30 students of class VIII are 37, 41, 39, 34, 71, 26, 56, 61, 58, 79, 83, 72, 64, 39, 75, 39, 37, 59, 57, 37, 53, 38, 49, 45, 70, 82, 44, 37, 79, 76.
Construct the grouped frequency table with the class interval of equal width such as 30  35. Also, find the range of the weekly pocket expenses.
7. Pulse rate (per minute) of 25 persons were recorded as
61, 75, 71, 72, 70, 65, 77, 72, 67, 80, 77, 62, 71, 74, 79, 67, 80, 77, 62, 71, 74, 61, 70, 80, 72, 59, 78, 71, 72.
Construct a frequency table expressing the data in the inclusive form taking the class interval 6165 of equal width. Now, convert this data again into the exclusive form in the separate table.
8. The frequency distribution of weights (in kg) of 40 persons is given below.
Weights (in kg)  30  35  35  40  40  45  45  50  50  55 
Frequency  6  13  14  4  3 
(a) What is the lower limit of fourth class interval?
(b) What is the class size of each class interval?
(c ) Which class interval has the highest frequency?
(d) Find the class marks of all the class intervals?
9. Construct the frequency distribution table for the data on heights (cm) of 20 boys using the class intervals 130  135, 135  140 and so on. The heights of the boys in cm are: 140, 138, 133, 148, 160, 153, 131, 146, 134, 136, 149, 141, 155, 149, 165, 142, 144, 147, 138, 139. Also, find the range of heights of the boys.
10. Construct a frequency distribution table for the following weights (in gm) of 30 oranges using the equal class intervals, one of them is 4045 (45 not included). The weights are: 31, 41, 46, 33, 44, 51, 56, 63, 71, 71, 62, 63, 54, 53, 51, 43, 36, 38, 54, 56, 66, 71, 74, 75, 46, 47, 59, 60, 61, 63.
(a) What is the class mark of the class intervals 5055?
(b) What is the range of the above weights?
(c) How many class intervals are there?
(d) Which class interval has the lowest frequency?
Answers for worksheet on frequency distribution are given below to check the exact answers of the above questions on presentation data.
Answers:
1. (a) 0, 2, 3, 6, 7, 8, 10, 14, 15, 24
(b) 0.7, 0.8, 1.4, 2.0, 3.5, 4.6, 8.1, 9.3
2. (a) 28, 22, 16, 14, 13, 10, 8, 6, 4, 2, 0, 1
(b) 8.6, 5.0, 3.7, 3.5, 2.4, 1.2, 0.9, 0.7, 0.3, 0.1
3. (a)
X  2  3  4  5  6 
Y  5  7  6  2  3 
X  4  5  6  7  8  9 
f  2  4  7  5  2  2 
C.I.  0  5  5  10  10  15  15  20  20  25 
Frequency  5  9  8  3  5 
5.
(b)
C.I.  2530  3035  3540  4045  4550  5055  5560  6065  6570  7075  7580  8085 
Frequency  1  1  8  2  2  1  4  2  0  3  4  2 
C.I.  56  60  61  65  66  70  71  75  76  80 
Frequency  1  4  4  10  6 
C.I.  55  60  60  65  65  70  70  75  75  80  80  85 
Frequency  1  3  3  11  5  2 
8. (a) 45
(b) 5
(c) 40  45
(d) 32.5, 37.5, 42.5, 47.5, 52.5
9.
C.I.  130135  135140  140145  145150  150155  155160  160165  165170 
Frequency  3  4  4  5  1  1  1  1 
Range = 34 cm
10.
C.I.  3035  3540  4045  4550  5055  5560  6065  6570  7075  7580 
Frequency  2  2  3  3  5  3  6  1  4  1 
(a) 52.5
(b) 44 gm
(c) 10
(d) 65  70, 75  80
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