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Following are the ages (in years) of 360 patients, getting medical treatment in a hospital:
Age (in years) | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 |
Number of patients | 90 | 50 | 60 | 80 | 50 | 30 |
Construct the cumulative frequency table for the above data.
Present the following as an ordinary grouped frequency table:
Marks (below) | 10 | 20 | 30 | 40 | 50 | 60 |
Number of students | 5 | 12 | 32 | 40 | 45 | 48 |
Given below is a cumulative frequency table:
Marks | Number of students |
Below 10 | 17 |
Below 20 | 22 |
Below 30 | 29 |
Below 40 | 37 |
Below 50 | 50 |
Below 60 | 60 |
Extract a frequency table from the above.
Make a frequency table from the following:
Marks obtained | Number of students |
More than 60 | 0 |
More than 50 | 16 |
More than 40 | 40 |
More than 30 | 75 |
More than 20 | 87 |
More than 10 | 92 |
More than 0 | 100 |
The following table shows the number of students participating in various in a school.
Game | Cricket | Football | Basketball | Tennis |
Number of students | 27 | 36 | 18 | 12 |
Draw a bar graph to represent the above data.
On a certain day, the temperature in a city was recorded as under:
Time | 5 a.m. | 8 a.m. | 11 a.m. | 3 p.m. | 6 p.m. |
Temperature (in °C) | 20 | 24 | 26 | 22 | 18 |
Illustrate the data by a bar graph.
The approximate velocities of some vehicles are given below:
Name of vehicle | Bicycle | Scooter | Car | Bus | Train |
Velocity (in km/hr) | 27 | 36 | 18 | 12 | 80 |
Draw a bar graph to represent the above data.
The following table shows the favorite sports of 250 students of a school. Represent the data by a bar graph.
Sports | Cricket | Football | Tennis | Badminton | Swimming |
No. of students | 75 | 35 | 50 | 25 | 65 |
Given below is a table which shows the year wise strength of a school. Represent this data by a bar graph.
Year | 2001-02 | 2002-03 | 2003-04 | 2004-05 | 2005-06 |
No. of students | 800 | 975 | 1100 | 1400 | 1625 |
The following table shows the number of scooters produced by a company during six consecutive years. Draw a bar graph to represent this data.
Year | 1999 | 2000 | 2001 | 2002 | 2003 | 2004 |
No. of students | 11000 | 14000 | 12500 | 17500 | 15000 | 24000 |
The birth rate per thousand in five countries over a period of time is shown below:
Country | China | India | Germany | UK | Sweden |
Birth rate per thousand | 42 | 35 | 14 | 28 | 21 |
Represent the above data by a bar graph.
The following table shows the interest paid by India (in thousand crore rupees) on external debts during the period 1998-99 to 2002-03. Represent the data by a bar graph.
Year | 1998-99 | 1999-2000 | 2000-01 | 2001-02 | 2002-03 |
Interest (in thousand crore rupees) | 70 | 84 | 98 | 106 | 120 |
The air distances of four cities from Delhi (in km) are given below:
City | Kolkata | Mumbai | Chennai | Hyderabad |
Distance from Delhi (in km) | 1340 | 1100 | 1700 | 1220 |
Draw a bar graph to represent the above data.
The following table shows the life expectancy (average age to which people live) in various countries in a particular year.
Represent this data by a bar graph.
Country | Japan | India | Britain | Ethiopia | Cambodia |
Life expectancy (in years) | 76 | 57 | 70 | 43 | 36 |
Gold prices on 4 consecutive Tuesdays were as under:
Week | First | Second | Third | Fourth |
Rate per 10 g (in Rs) | 7250 | 7500 | 7600 | 7850 |
Draw a bar graph to show this information.
Various modes of transport used by 1850 students of a school are given below.
School bus | Private bus | Bicycle | Rickshaw | By foot |
640 | 360 | 490 | 210 | 150 |
Draw a bar graph to represent the above data.
The daily wages of 50 workers in a factory are given below:
Daily wages (in rupees) | 140-180 | 180-220 | 220-260 | 260-300 | 300-340 | 340-380 |
Number of workers | 16 | 9 | 12 | 2 | 7 | 4 |
Construct a histogram to represent the above frequency distribution.
The following table shows the average daily earnings of 40 general stores in a market, during a certain week.
Daily earnings (in rupees) | 600-650 | 650-700 | 700-750 | 750-800 | 800-850 | 850-900 |
Number of stores | 6 | 9 | 2 | 7 | 11 | 5 |
Draw a histogram to represent the above data.
The heights of 75 students in a school are given below:
Height (in cm) | 130-136 | 136-142 | 142-148 | 148-154 | 154-160 | 160-166 |
Number of students | 9 | 12 | 18 | 23 | 10 | 3 |
Draw a histogram to represent the above data.
Draw a histogram for the frequency distribution of the following data.
Class interval | 8-13 | 13-18 | 18-23 | 23-28 | 28-33 | 33-38 | 38-43 |
Frequency | 320 | 780 | 160 | 540 | 260 | 100 | 80 |
Construct a histogram for the following frequency distribution.
Class interval | 5-12 | 13-20 | 21-28 | 29-36 | 37-44 | 45-52 |
Frequency | 6 | 15 | 24 | 18 | 4 | 9 |
The following table shows the number of illiterate persons in the age group (10-58 years) in a town:
Age group (in years) | 10-16 | 17-23 | 24-30 | 31-37 | 38-44 | 45-51 | 52-58 |
Number of illiterate persons | 175 | 325 | 100 | 150 | 250 | 400 | 525 |
Draw a histogram to represent the above data.
Draw a histogram to represent the following data.
Class interval | 10-14 | 14-20 | 20-32 | 32-52 | 52-80 |
Frequency | 5 | 6 | 9 | 25 | 21 |
In a study of diabetic patients in a village, the following observations were noted.
Age in years | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 |
Number of patients | 2 | 5 | 12 | 19 | 9 | 4 |
Represent the above data by a frequency polygon.
The ages (in years) of 360 patience treated in a hospital on a particular day are given below.
Age in years | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 |
Number of patients | 90 | 40 | 60 | 20 | 120 | 30 |
Draw a histogram and a frequency polygon on the same graph to represent the above data.
Draw a histogram and the frequency polygon from the following data.
Class interval | 20-25 | 25-30 | 30-35 | 35-40 | 40-45 | 45-50 |
Frequency | 30 | 24 | 52 | 28 | 46 | 10 |
Draw a histogram for the following data:
Class interval | 600-640 | 640-680 | 680-720 | 720-760 | 760-800 | 800-840 |
Frequency | 18 | 45 | 153 | 288 | 171 | 63 |
Using this histogram, draw the frequency polygon on the same graph.
Draw a frequency polygon for the following frequency distribution.
Class interval | 1-10 | 11-20 | 21-30 | 31-40 | 41-50 | 51-60 |
Frequency | 8 | 3 | 6 | 12 | 2 | 7 |
The daily minimum temperature recorded (in degree F) at a place during a week was as under:
Monday | Tuesday | Wednesday | Thursday | Friday | Saturday |
35.5 | 30.8 | 27.3 | 32.1 | 23.8 | 29.9 |
Find the mean temperature.
Find the mean of daily wages of 60 workers in a factory as per data given below:
Daily wages (in Rs) | 90 | 110 | 120 | 130 | 150 |
No. of workers | 12 | 14 | 13 | 11 | 10 |
The following table shows the weights of 12 workers in a factory.
Weight (in kg) | 60 | 63 | 66 | 69 | 72 |
No. of workers | 4 | 3 | 2 | 2 | 1 |
Find the mean weight of the workers.
The following data give the number of boys of a particular age in a class of 40 students.
Age (in years) | 15 | 16 | 17 | 18 | 19 | 20 |
Frequency (f_{1}) | 3 | 8 | 9 | 11 | 6 | 3 |
Calculate the mean age of the students.
Find the mean of the following frequency distribution:
Variable (x_{i}) | 10 | 30 | 50 | 70 | 89 |
Frequency (f_{i}) | 7 | 8 | 10 | 15 | 10 |
Find the missing frequency p for the following frequency distribution whose mean is 28.25.
X | 15 | 20 | 25 | 30 | 35 | 40 |
F | 8 | 7 | P | 14 | 15 | 6 |
Find the value of p for the following frequency distribution whose mean is 16.6.
X | 8 | 12 | 15 | P | 20 | 25 | 30 |
F | 12 | 16 | 20 | 24 | 16 | 8 | 4 |
Find the missing frequencies in the following frequency distribution, whose mean is 50.
X | 10 | 30 | 50 | 70 | 90 | Total |
Y | 17 | f_{1} | 32 | f_{2} | 19 | 120 |
Use the assumed-mean method to find the mean weekly wages from the data given below.
Weekly wages (in Rs) | 800 | 820 | 860 | 900 | 920 | 980 | 1000 |
No. of workers | 7 | 14 | 19 | 25 | 20 | 10 | 5 |
Use the assumed-mean method to find the mean height of the plants from the following frequency-distribution table.
Height in cm (x_{i}) | 61 | 64 | 67 | 70 | 73 |
No. of plants (f_{i}) | 5 | 18 | 42 | 27 | 8 |
Use the step-deviation method to find the arithmetic mean from the following data.
X | 18 | 19 | 20 | 21 | 22 | 23 | 24 |
F | 170 | 320 | 530 | 700 | 230 | 140 | 110 |
The table given below gives the distribution of villages and their heights from the sea level in a certain region.
Height (in meters) | 200 | 600 | 1000 | 1400 | 1800 | 2200 |
No. of villages | 142 | 265 | 560 | 271 | 89 | 16 |
Compute the mean height, using the step-deviation method.
Find the median weight for the following data.
Weight (in kg) | 45 | 46 | 48 | 50 | 52 | 54 | 55 |
Number of students | 8 | 5 | 6 | 9 | 7 | 4 | 2 |
Find the median for the following frequency distribution.
Variate | 17 | 20 | 22 | 15 | 30 | 25 |
Frequency | 5 | 9 | 4 | 3 | 10 | 6 |
Calculate the median for the following data.
Marks | 20 | 9 | 25 | 50 | 40 | 80 |
Number of students | 6 | 4 | 16 | 7 | 8 | 2 |
The heights (in cm) of 50 students of a class are given below:
Height (in cm) | 156 | 154 | 155 | 151 | 157 | 152 | 153 |
Number of students | 8 | 4 | 10 | 6 | 7 | 3 | 12 |
Find the median for the following height.
Find the median for the following data:
Variate | 23 | 26 | 20 | 30 | 28 | 25 | 18 | 16 |
Frequency | 4 | 6 | 13 | 5 | 11 | 4 | 8 | 9 |
The table given below shows the weights (in kg) of 50 persons:
Weight (in kg) | 42 | 47 | 52 | 57 | 62 | 67 | 72 |
Number of persons | 3 | 8 | 6 | 8 | 11 | 5 | 9 |
Find the mean, median and mode.
The marks obtained by 80 students in a test are given below:
Marks | 4 | 12 | 20 | 28 | 36 | 44 |
Number of students | 8 | 10 | 16 | 24 | 15 | 7 |
Find the modal marks.
The ages of the employees of a company are given below:
Age (in years) | 19 | 21 | 23 | 25 | 27 | 29 | 31 |
Number of persons | 13 | 15 | 16 | 18 | 16 | 15 | 13 |
Find the mean, median and mode for the above data.
The following table shows the weights of 12 students.
Weight (in kg) | 47 | 50 | 53 | 56 | 60 |
Number of students | 4 | 3 | 2 | 2 | 4 |
The mean of the following data is 8.
x | 3 | 5 | 7 | 9 | 11 | 13 |
y | 6 | 8 | 15 | p | 8 | 4 |
The value of p is
The question consists of two statements, namely, Assertion (A) and Reason (R). Choose the correct option.
Assertion (A) | Reason (R) |
The mean of 15 numbers is 25. If 6 is subtracted from each number, the mean of new numbers is 19. | Mode = 3(median) – 2(mean). |
The question consists of two statements, namely, Assertion (A) and Reason (R). Choose the correct option.
Assertion (A) | Reason (R) |
Median of 51, 70, 65, 82, 60, 68, 62, 95, 55, 64, 58, 75, 80, 85, 90 is 68. | When n observations are arranged in an ascending order and n is odd, then median = value of 1/2 (n + 1) th observation. |
Match the following column.
Column I | Column II |
A. The mean of first 10 odd numbers = | (p) 11.2 |
_{B. The mean of first 10 even numbers =} | (q) 10 |
C. The mean of first 10 prime numbers = | (r) 11 |
D. The mean of first 10 composite numbers = | (s) 12.9 |
The correct answer is:
(a)-……., (b)-……., (c)-……., (d)-…….,
Look at the table given below:
Marks | 0-10 | 11-20 | 21-30 | 31-40 |
No. Of students | 6 | 9 | 11 | 4 |
The true lower limit of the class 21-30 is
Look at the table given below:
Marks | 0-10 | 10-20 | 20-30 | 30-40 |
No. Of students | 8 | 11 | 7 | 3 |
The true upper limit of the class 10-20 is
Look at the table given below:
Marks | 0-10 | 11-20 | 21-30 | 31-40 |
No. Of students | 6 | 9 | 11 | 4 |
What is the class size of the class 11-20 in this table?
The following table shows the number of students participating in the various games in a school:
Games | Cricket | Football | Basket ball | Tennis |
No. Of students | 27 | 36 | 18 | 12 |
Draw a bar graph to represent the above data.
The mean of the following frequency distribution is 8. Find the value of p.
x | 3 | 5 | 7 | 9 | 11 | 13 |
y | 6 | 8 | 15 | p | 8 | 4 |
Find the medium of the following frequency distribution:
Variables | 3 | 6 | 10 | 12 | 7 | 15 |
Frequency | 3 | 4 | 2 | 8 | 13 | 10 |
Fill in the blanks in the following table:
Marks | Frequency | Cumulative frequency |
0-5 | 3 | 3 |
5-10 | 5 | ....... |
10-15 | 8 | ....... |
15-20 | 4 | ....... |
In the city, the weekly observations made on the cost of living index are given below.
Cost of living index | Number of weeks |
140-160 | 5 |
150-160 | 10 |
160-170 | 20 |
170-180 | 9 |
180-190 | 6 |
190-200 | 2 |
Represent the above information in the form of a histogram.
The following table shows the weights of 12 workers in the factory.
Weight(in kg) | 60 | 63 | 66 | 69 | 72 |
No of workers | 4 | 3 | 2 | 2 | 1 |
Find the mean weight of the workers.
The heights (in cm) of 50 students of class are given below.
Height | 156 | 154 | 155 | 151 | 157 | 152 | 153 |
No of students | 8 | 4 | 10 | 6 | 7 | 3 | 12 |
Find the median height