From following table, what is the cumulative frequency of less than type for the class 30 – 40?
- A13
- B15
- ✓35
- D22
Answer: C.
View full solution →Question types
Statistics question types
73 questions across 7 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
73
Questions
7
Question groups
5
Question types
01
MCQ(1M)
10 Q→021 Mark Question
6 Q→032 Mark Question
12 Q→043 Mark Question
7 Q→054 Mark Question
11 Q→065 Mark Question
24 Q→07Activity Based Questions.
3 Q→Sample Questions
Statistics questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
What is the median of 7, 10, 7, 5, 9, 10 ?
- A7
- B9
- ✓8
- D10
Answer: C.
View full solution →What is the mode of 19, 19, 15, 20, 25, 15, 20, 15?
- ✓15
- B20
- C19
- D25
Answer: A.
View full solution →Mean of $100$ observations is $40.$ The 9th observation is $30.$ If this is replaced by $70$ keeping all other observations same, find the new mean.
- A$40.6$
- ✓$40.4$
- C$40.3$
- D$40.7$
Answer: B.
View full solution →The mean of five numbers is $50$, out of which mean of $4$ numbers is $46$, find the 5th number.
- A$4$
- B$20$
- C$434$
- ✓$66$
Answer: D.
View full solution →The ages of workers in a certain factory are given in the following table.
| Age (Year) | 19 | 21 | 25 | 27 | 30 |
| Workers | 5 | 15 | 13 | 15 | 7 |
Find the mode of their ages.
Find the mean of numbers 25, 30, 27, 23 and 25.
Find the mode of the following data.
In the following table, the information is given about the number of families and the siblings in the families less than 14 years of age. Find the mode of the data.
Find the class-mark of the class $35-40.$
View full solution →Find the mode of 90, 55, 67, 55, 75, 75, 40, 35, 55, 95.
Find the median of the data. 30, 25, 32, 23, 42, 36, 40, 33, 21, 43
Find the median of 54, 63, 66, 72, 98, 87, 92.
The weights of 10 students (in kg) are given below:
40, 35, 42, 43, 37, 35, 37, 37, 42, 37. Find the mode of the data.
40, 35, 42, 43, 37, 35, 37, 37, 42, 37. Find the mode of the data.
In a basket there are $10$ tomatoes. The weight of each of these tomatoes in grams is as follows:
$60, 70, 90, 95, 50, 65, 70, 80, 85, 95.$
Find the median of the weights of tomatoes.
View full solution →$60, 70, 90, 95, 50, 65, 70, 80, 85, 95.$
Find the median of the weights of tomatoes.
Following $10$ observations are arranged in ascending order as follows. $2, 3 , 5 , 9, x + 1, x + 3, 14, 16, 19, 20.$ If the median of the data is $11,$ find the value of $x.$
View full solution →The monthly salaries in rupees of 30 workers in a factory are given below.
5000, 7000, 3000, 4000, 4000, 3000, 3000,
3000, 8000, 4000, 4000, 9000, 3000, 5000,
5000, 4000, 4000, 3000, 5000, 5000, 6000,
8000, 3000, 3000, 6000, 7000, 7000, 6000,
6000, 4000
From the above data find the mean of monthly salary.
5000, 7000, 3000, 4000, 4000, 3000, 3000,
3000, 8000, 4000, 4000, 9000, 3000, 5000,
5000, 4000, 4000, 3000, 5000, 5000, 6000,
8000, 3000, 3000, 6000, 7000, 7000, 6000,
6000, 4000
From the above data find the mean of monthly salary.
The first unit test of 40 marks was conducted for a class of 35 students. The marks obtained by the students were as follows. Find the mean of the marks.
40, 35, 30, 25, 23, 20, 14, 15, 16, 20, 17, 37, 37, 20, 36, 16, 30, 25, 25, 36, 37, 39, 39, 40, 15, 16, 17, 30, 16, 39, 40, 35, 37, 23, 16.
40, 35, 30, 25, 23, 20, 14, 15, 16, 20, 17, 37, 37, 20, 36, 16, 30, 25, 25, 36, 37, 39, 39, 40, 15, 16, 17, 30, 16, 39, 40, 35, 37, 23, 16.
A sports club has organised a table-tennis tournaments. The following table gives the distribution of players ages. Find the cumulative frequencies equal to or more than the lower class limit and complete the table
38 people donated to an organisation working for differently abled persons. The amount in rupees were as follows:
101, 500, 401, 201, 301, 160, 210, 125, 175,
190, 450, 151, 101, 351, 251, 451, 151, 260,
360, 410, 150, 125, 161, 195, 351, 170, 225,
260, 290, 310, 360, 425, 420, 100, 105, 170, 250, 100
i. By taking classes 100 – 149, 150 – 199, 200 – 249… prepare grouped frequency distribution table.
ii. From the table, find the number of people who donated ₹350 or more.
101, 500, 401, 201, 301, 160, 210, 125, 175,
190, 450, 151, 101, 351, 251, 451, 151, 260,
360, 410, 150, 125, 161, 195, 351, 170, 225,
260, 290, 310, 360, 425, 420, 100, 105, 170, 250, 100
i. By taking classes 100 – 149, 150 – 199, 200 – 249… prepare grouped frequency distribution table.
ii. From the table, find the number of people who donated ₹350 or more.
There are $10$ observations arranged in ascending order as given below.
$45, 47, 50, 52, JC, JC + 2, 60, 62, 63, 74.$ The median of these observations is $53.$
Find the value of JC. Also find the mean and the mode of the data.
View full solution →$45, 47, 50, 52, JC, JC + 2, 60, 62, 63, 74.$ The median of these observations is $53.$
Find the value of JC. Also find the mean and the mode of the data.
By using data in example (6), and taking classes 30 – 40, 40 – 50,… prepare equal to or more than type cumulative frequency table and answer the following questions based on it.
i. How many students have scored marks 70 or more than 70?
ii. How many students have scored marks 30 or more than 30?
i. How many students have scored marks 70 or more than 70?
ii. How many students have scored marks 30 or more than 30?
There are 68 students of 9th standard from Model Highschool, Nandpur. They have scored following marks out of 80, in written exam of mathematics.
70, 50, 60, 66, 45, 46, 38, 30, 40, 47, 56, 68,
80, 79, 39, 43, 57, 61, 51, 32, 42, 43, 75, 43,
36, 37, 61, 71, 32, 40, 45, 32, 36, 42, 43, 55,
56, 62, 66, 72, 73, 78, 36, 46, 47, 52, 68, 78,
80, 49, 59, 69, 65, 35, 46, 56, 57, 60, 36, 37,
45, 42, 70, 37,45, 66, 56, 47
By taking classes 30 – 40, 40 – 50, …. prepare the less than type cumulative frequency table. Using the table, answer the following questions:
70, 50, 60, 66, 45, 46, 38, 30, 40, 47, 56, 68,
80, 79, 39, 43, 57, 61, 51, 32, 42, 43, 75, 43,
36, 37, 61, 71, 32, 40, 45, 32, 36, 42, 43, 55,
56, 62, 66, 72, 73, 78, 36, 46, 47, 52, 68, 78,
80, 49, 59, 69, 65, 35, 46, 56, 57, 60, 36, 37,
45, 42, 70, 37,45, 66, 56, 47
By taking classes 30 – 40, 40 – 50, …. prepare the less than type cumulative frequency table. Using the table, answer the following questions:
i. How many students have scored marks less than 80?
ii. How many students have scored marks less than 40?
iii. How many students have scored marks less than 60?
If the mean of the following data is 20.2, then find the value of p.
The monthly maximum temperature of a city is given in degree Celsius in the following data. By taking suitable classes, prepare the grouped frequency distribution table
29.2, 29.0, 28.1, 28.5, 32.9, 29.2, 34.2, 36.8, 32.0, 31.0, 30.5, 30.0, 33, 32.5, 35.5, 34.0, 32.9, 31.5, 30.3, 31.4, 30.3, 34.7, 35.0, 32.5, 33.5.29.0. 29.5.29.9.33.2.30.2
From the table, answer the following questions.
i. For how many days the maximum temperature was less than 34°C?
ii. For how many days the maximum temperature was 34°C or more than 34°C?
29.2, 29.0, 28.1, 28.5, 32.9, 29.2, 34.2, 36.8, 32.0, 31.0, 30.5, 30.0, 33, 32.5, 35.5, 34.0, 32.9, 31.5, 30.3, 31.4, 30.3, 34.7, 35.0, 32.5, 33.5.29.0. 29.5.29.9.33.2.30.2
From the table, answer the following questions.
i. For how many days the maximum temperature was less than 34°C?
ii. For how many days the maximum temperature was 34°C or more than 34°C?
There are $10$ observations arranged in ascending order as given below.
$45, 47, 50, 52, JC, JC + 2, 60, 62, 63, 74.$ The median of these observations is $53.$
Find the value of $JC.$ Also find the mean and the mode of the data.
View full solution →$45, 47, 50, 52, JC, JC + 2, 60, 62, 63, 74.$ The median of these observations is $53.$
Find the value of $JC.$ Also find the mean and the mode of the data.
By using data in example (6), and taking classes 30 – 40, 40 – 50,… prepare equal to or more than type cumulative frequency table and answer the following questions based on it.
i. How many students have scored marks 70 or more than 70?
ii. How many students have scored marks 30 or more than 30?
i. How many students have scored marks 70 or more than 70?
ii. How many students have scored marks 30 or more than 30?
There are 68 students of 9th standard from Model Highschool, Nandpur. They have scored following marks out of 80, in written exam of mathematics.
70, 50, 60, 66, 45, 46, 38, 30, 40, 47, 56, 68,
80, 79, 39, 43, 57, 61, 51, 32, 42, 43, 75, 43,
36, 37, 61, 71, 32, 40, 45, 32, 36, 42, 43, 55,
56, 62, 66, 72, 73, 78, 36, 46, 47, 52, 68, 78,
80, 49, 59, 69, 65, 35, 46, 56, 57, 60, 36, 37,
45, 42, 70, 37,45, 66, 56, 47
By taking classes 30 – 40, 40 – 50, …. prepare the less than type cumulative frequency table. Using the table, answer the following questions:
70, 50, 60, 66, 45, 46, 38, 30, 40, 47, 56, 68,
80, 79, 39, 43, 57, 61, 51, 32, 42, 43, 75, 43,
36, 37, 61, 71, 32, 40, 45, 32, 36, 42, 43, 55,
56, 62, 66, 72, 73, 78, 36, 46, 47, 52, 68, 78,
80, 49, 59, 69, 65, 35, 46, 56, 57, 60, 36, 37,
45, 42, 70, 37,45, 66, 56, 47
By taking classes 30 – 40, 40 – 50, …. prepare the less than type cumulative frequency table. Using the table, answer the following questions:
i. How many students have scored marks less than 80?
ii. How many students have scored marks less than 40?
iii. How many students have scored marks less than 60?
If the mean of the following data is 20.2, then find the value of p.
The monthly maximum temperature of a city is given in degree Celsius in the following data. By taking suitable classes, prepare the grouped frequency distribution table
29.2, 29.0, 28.1, 28.5, 32.9, 29.2, 34.2, 36.8, 32.0, 31.0, 30.5, 30.0, 33, 32.5, 35.5, 34.0, 32.9, 31.5, 30.3, 31.4, 30.3, 34.7, 35.0, 32.5, 33.5.29.0. 29.5.29.9.33.2.30.2
From the table, answer the following questions.
i. For how many days the maximum temperature was less than 34°C?
ii. For how many days the maximum temperature was 34°C or more than 34°C?
29.2, 29.0, 28.1, 28.5, 32.9, 29.2, 34.2, 36.8, 32.0, 31.0, 30.5, 30.0, 33, 32.5, 35.5, 34.0, 32.9, 31.5, 30.3, 31.4, 30.3, 34.7, 35.0, 32.5, 33.5.29.0. 29.5.29.9.33.2.30.2
From the table, answer the following questions.
i. For how many days the maximum temperature was less than 34°C?
ii. For how many days the maximum temperature was 34°C or more than 34°C?
From the table, fill in the blanks in the following statements.
(i) For class interval 10-20 the lower class limit is? and upper class limit is?
(ii) How many students obtained marks less than 10 ?
(iii) How many students obtained marks less than 20 ?
(iv) How many students obtained marks less than 30 ?
(v) How many students obtained marks less than 40 ?
6, 10, 10.5, 11, 15.5, 19, 20, 12, 13 are the given observations. By taking classes 6-10, 11-15, 16-20 prepare grouped frequency distribution table
The record of marks out of 20 in Mathematics in the first unit test is as follows.
20, 6, 14, 10, 13, 15, 12, 14, 17, 17, 18, 11, 19, 9, 16, 18, 14, 7, 17, 20,
8, 15, 16, 10, 15, 12, 18, 17, 12, 11, 11, 10, 16, 14, 16, 18, 10, 7, 17, 14,
20, 17, 13, 15, 18, 20, 12, 12, 15, 10
20, 6, 14, 10, 13, 15, 12, 14, 17, 17, 18, 11, 19, 9, 16, 18, 14, 7, 17, 20,
8, 15, 16, 10, 15, 12, 18, 17, 12, 11, 11, 10, 16, 14, 16, 18, 10, 7, 17, 14,
20, 17, 13, 15, 18, 20, 12, 12, 15, 10
What is the above information called ?
What is each of the numbers in the data called ?
Answer the following questions, from the above information.
(i) How many students scored 15 marks ?
(ii) How many students scored more than 15 marks ?
(iii) How many students scored less than 15 marks ?
(iv) What is the lowest score of the group ?
(v) What is the highest score the group ?
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