Statistics

The following table shows the number of Buses and Trucks in nearest lakh units. Draw percentage bar-diagram. (Approximate the percentages to the nearest integer)

In the table given below, the information is given about roads. Using this draw sub-divided and percentage bar diagram (Approximate the percentages to the nearest integer)

Classify following information as primary or secondary data.

i. Information of attendance of every student collected by visiting every class in a school.

ii. The information of heights of students was gathered from school records and sent to the head office, as it was to be sent urgently.

iii. In the village Nandpur, the information collected from every house regarding students not attending school.

iv. For science project, information of trees gathered by visiting a forest.

For class interval 20-25 write the lower-class limit and the upper-class limit.

Find the class-mark of the class 35-40.

If class mark is 10 and class width is 6 then find the class.

Complete the following table.

In a ‘tree plantation’ project of a certain school there are 45 students of 'Harit Sena.' There cord of trees planted by each student is given below :

3, 5, 7, 6, 4, 3, 5, 4, 3, 5, 4, 7, 5 , 3, 6, 6, 5, 3, 4, 5, 7, 3, 5, 6, 4, 4, 3,5, 6, 6, 4, 3, 5, 7, 3, 4, 5, 7, 6, 4, 3, 5, 4, 4, 7.

Prepare a frequency distribution table of the data.

The value of π upto 50 decimal places is given below :

3.14159265358979323846264338327950288419716939937510

From this information prepare an ungrouped frequency distribution table of digits appearing after the decimal point.

In the tables given below, class-mark and frequencies is given. Construct the frequency tables taking inclusive and exclusive classes.

i.

ii.

In a school, 46 students of 9th standard, were told to measure the lengths of the pencils in their compass-boxes in centimeters. The data collected was as follows.

16, 15, 7, 4.5, 8.5, 5.5, 5, 6.5, 6, 10, 12,13, 4.5, 4.9, 16, 11, 9.2, 7.3, 11.4, 12.7, 13.9, 16,5.5, 9.9, 8.4, 11.4, 13.1, 15, 4.8, 10, 7.5, 8.5, 6.5,7.2, 4.5, 5.7, 16, 5.7, 6.9, 8.9, 9.2, 10.2, 12.3, 13.7,14.5, 10

By taking inclusive classes 0-5, 5-10, 10-15....Prepare a grouped frequency distribution table.

In a village, the milk was collected from 50 milkmen at a collection center in liters as given below :

27, 75, 5, 99, 70, 12, 15, 20, 30, 35, 45, 80,77, 90, 92, 72, 4, 33, 22, 15, 20, 28, 29, 14,16, 20, 72, 81, 85, 10, 16, 9, 25, 23, 26, 46,55, 56, 66, 67, 51, 57, 44, 43, 6, 65, 42, 36,7, 35.

By taking suitable classes, prepare grouped frequency distribution 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 rupees 350 or more.

Complete the following cumulative frequency table:

Complete the following Cumulative Frequency Table :

The data is given for 62 students in a certain class regarding their mathematics marks out of 100. Take the classes 0-10, 10-20.. and prepare frequency distribution table and cumulative frequency table more than or equal to type.

55, 60, 81, 90, 45, 65, 45, 52, 30, 85, 20, 10,75, 95, 09, 20, 25, 39, 45, 50, 78, 70, 46, 64,42, 58, 31, 82, 27, 11, 78, 97, 07, 22, 27, 36,35, 40, 75, 80, 47, 69, 48, 59, 32, 83, 23, 17,77, 45, 05, 23, 37, 38, 35, 25, 46, 57, 68, 45,47, 49.

From the prepared table, answer the following questions:

i. How many students obtained marks 40 or above 40?

ii. How many students obtained marks 90 or above 90?

iii. How many students obtained marks 60 or above 60?

iv. What is the cumulative frequency of equal to or more than type of the class 0-10?

Using the data in example (3) above, prepare less than type cumulative frequency table and answer the following questions.

i. How many students obtained less than 40 marks?

ii. How many students obtained less than 10 marks?

iii. How many students obtained less than 60 marks?

iv. Find the cumulative frequency of the class 50-60.

Yield of soyabean per acre in quintal in Mukund's field for 7 years was 10, 7, 5, 3, 9, 6, 9. Find the mean of yield per acre.

Find the median of the observations, 59, 75, 68, 70, 74, 75, 80.

The marks (out of 100) obtained by 7 students in Mathematics' examination are given below. Find the mode for these marks.

99, 100, 95, 100, 100, 60, 90

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.

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.

A hockey player has scored following number of goals in 9 matches.

5, 4, 0, 2, 2, 4, 4, 3, 3. Find the mean, median and mode of the data.

The calculated mean of 50 observations was 80. It was later discovered that observation 19 was recorded by mistake as

91. What was the correct mean?

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.

The mean of 35 observations is 20, out of which mean of first 18 observations is 15and mean of last 18 observation is 25. Find the 18th observation.

The mean of 5 observations is 50. One of the observations was removed from the data, hence the mean became 45. Find the observation which was removed.

There are 40 students in a class, out of them 15 are boys. The mean of marks obtained by boys is 33 and that for girls is 35. Find out the mean of all students in the class.

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.

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 mode of the following data.

Write the correct alternative answer for each of the following questions.

Which of the following data is not primary?
A. By visiting a certain class, gathering information about attendance of students.

B. By actual visit to homes, to find number of family members.

C. To get information regarding plantation of soyabean done by each farmer from the village Talathi.

D. Review the cleanliness status of canals by actually visiting them.

What is the upper-class limit for the class 25-35?
A. 25

B. 35

C. 60

D. 30

What is the class-mark of class 25-35?
A. 25

B. 35

C. 60

D. 30

If the classes are 0-10, 10-20, 20-30... then in which class should the observation 10be included?
A. 0-10

B. 10-20

C. 0-10 and 10-20 in these 2 classes

D. 20-30

If is the mean of x₁, x₂…..x_n and is the mean of y₁, y₂…..y_n and is the mean of x₁, x₂…..x_n , y₁, y₂…..y_n then
A.

B.

C.

D.

The mean of five numbers is 80, out of which mean of 4 numbers is 46, find the 5th number :
A. 4

B. 20

C. 434

D. 66

Mean of 100 observations is 40. The 9th observation is 30. If this is replaced by70 keeping all other observations same, find the new mean.
A. 40.6

B. 40.4

C. 40.3

D. 40.7

What is the mode of 19, 19, 15, 20, 25, 15, 20, 15?
A. 15

B. 20

C. 19

D. 25

What is the median of 7, 10, 7, 5, 9, 10?
A. 7

B. 9

C. 8

D. 10

From following table, what is the cumulative frequency of less than type for the class 30-40?


A. 13

B. 15

C. 35

D. 22

The mean salary of 20 workers is Rs.10, 250. If the salary of office superintendent is added, the mean will increase by Rs.750. Find the salary of the office superintendent.

The mean of nine numbers is 77. If one more number is added to it than the mean increases by 5. Find the number added in the data.

The monthly maximum temperature of a city is given in degree celcius 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^oC?

ii. For how many days the maximum temperature was 34^oC or more than 34^oC?

If the mean of the following data is 20.2, then find the value of p.

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:

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?

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?

There are 10 observations arranged in ascending order as given below.

45,47,50,52, x, x + 2, 60,62,63,74. The median of these observations is 53.

Find the value of x. Also find the mean and the mode of the data.