Class Interval
Trending Questions
What is the lower limit of the modal class of the following frequency distribution?
Age(in years)0−1010−2020−3030−4040−5050−60Number of patients16136112718
In which of the following frequency distributions, the class intervals overlap?
Discrete frequency distribution
Discontinuous frequency distribution
Continuous frequency distribution
Both, Continuous frequency distribution as well as Discontinuous frequency distribution
The relative humidity (in$\%$) of a certain city for a month of $30days$ was as follows: $98.1,98.6,99.2,90.3,86.5,95.3,92.9,96.3,94.2,95.1,89.2,92.3,97.1,93.5,92.7,95.1,97.2,93.3,95.2,\phantom{\rule{0ex}{0ex}}97.3,96.2,92.1,84.9,90.2,95.7,98.3,97.3,96.1,92.1,89.$
(i) Construct a grouped frequency distribution table with classes $84-86,86-88,$ etc.
(ii) Which month or season do you think this data is about?
(iii) What is the range of this data?
Question 2
The following data gives the information on the observed lifetimes (in hours) of 225 electrical components:
Lifetimes(in hours)0−2020−4040−6060−8080−100100−120Frequency103552613829
Determine the modal lifetimes of the components.
Weight (in grams) |
75−79 | 80−84 | 85−89 | 90−94 | 95−99 | 100−104 | 105−109 |
Number of eggs | 4 | 9 | 13 | 17 | 12 | 3 | 2 |
Calculate their mean weight to the nearest gram.
Consider the frequency distribution of the heights of 60 students of a class:
Height(in cm)No.of.StudentsCumulative Frequency150−1551616155−1601228160−165937165−170744170−1751054175−180660
The sum of the lower limit of the modal class and the upper limit of the median class is :
(a) 310 (b) 315 (c) 320 (d) 330
Question 5
The given distribution shows the number of runs scored by some top batsmen of the world in one-day international cricket matches.
Number of students per teacherNumber of states/U.T3000−400044000−5000185000−600096000−700077000−800068000−900039000−10000110000−110001
Find the mode of the data.
In a class interval if only lower limit of the class interval is included in the class limit then that class interval is called ___.
Inclusive class interval
Exclusive class interval
Either of them
None of the above
The width of each of five continuous classes in a frequency distribution is 5 and the lower class limit of the lowest class is 10. The upper limit of the highest class is
- 40
- 15
- 35
- 25
Which of the following is true for the histogram ?
20
25
30
None of these
Question 8 (i)
Thirty children were asked about the number of hours they watched TV programmes in the previous week. The results were found as follows:
1623512584810341228151176328596871412
(i) Make a grouped frequency distribution table for this data, taking class width 5 and one of the class intervals as 5- 10.
Question 2
The distance (in km) of 40 engineers from their residence to their place of work were found as follows:
5310202511137123119101217181131171627978351215183121429615157612
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?
The monthly pocket money of 50 students of a class are given in the following distribution:
Monthly pocket money(in Rs.)0−5050−100100−150150−200200−250250−300Number of students27830121
Find the modal class and also give class mark of the modal class.
17, 52, 158, 477, ?, 4310
- None of these
- 1433
- 1432
- 1435
- 1434
Cost of living Index | Number of Students | Cost of living Index | Number of Students |
1400−1500 1500−1600 1600−1700 |
5 10 20 |
1700−1800 1800−1900 1900−2000 |
9 6 2 |
66, 79, 89, 67, 72, 82, 85, 80, 82, 81, 67, 87, 71, 68, 63, 74, 73, 86, 84, 75, 85, 80, 85, 61, 75, 85, 80, 85, 61, 75, 68, 69, 64, 75, 73, 72, 82, 76, 74, 77.
Group the data first in discontinuous class intervals such that one of the class intervals is 70-74.
Next, group the data in continuous class intervals such that one of the class intervals is 85-90.
Find the second class interval and the corresponding frequency of the class for both the groupings of the data.
The Mean and Standard Deviation of the heights and weights of 20 persons are given below
Characteristics |
||
Height (in cm) Weight (in kg) |
175 70 |
3.5 2.1 |
In which characteristics are they more variables?
Lipika reads a book for 134 hours in a day. If she read the entire book in 6 days how many hours did she take to read the book? In how many days will she be able to complete the book if she would have read for 12 hours each day? [3 Marks]
ii) State the modal class.
Class intervalFrequency50−55555−602060−651065−701070−75975−80680−851285−908 [4 MARKS]
Age(in years)5−1515−2525−3535−4545−5555−65Number of patients6112123145
- 15-25, 11, 21
- 35-45, 45, 35
- 35-45, 35, 45
- 15-55, 11, 31
Class interval: | 50-70 | 70-90 | 90-110 | 110-130 | 130-150 | 150-170 |
Frequency: | 18 | 12 | 13 | 27 | 8 | 22 |
Look at the map given below and answer the following question.
Which sector has the maximum number of houses?
Consider the following frequency distribution:
Class | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 |
Frequency | 3 | 9 | 15 | 30 | 18 | 5 |
The modal class is
(a) 10-20 (b)20-30 (c)30-40 (d) 50-60
- 27
- 17
- 20
- 37
- 13
- 10.5
- 15.5
- 26
Question 2
Shekhar is a famous cricket player. He has so far scored 6980 runs in test matches. He wishes to complete 10, 000 runs. How many more runs does he need?
For the following distribution,
Class0−55−1010−1515−2020−25Frequency101512209
the sum of lower limits of the median class and modal class is
(a) 15
(b) 25
(c) 30
(d) 35
Convert the given frequency distribution into a continuous grouped frequency distribution. In which intervals would $153.5$ and $157.5$ be included?
Class interval | Frequency |
$150-153$ | $7$ |
$154-157$ | $7$ |
$158-161$ | $15$ |
$162-165$ | $10$ |
$166-169$ | $5$ |
$170-173$ | $6$ |
The class mark for a class interval while calculating the mean is its upper limit.
True
False