Class 7 Maths Chapter 5 Connecting the Dots worksheet with MCQs, short answer questions, practice questions and extra questions based on Ganita Prakash Part 2 for revision and exam preparation.
Class 7 Mathematics
Chapter: Connecting the Dots… — Worksheet
Name:
Class:
Roll No.:
Date:
Instructions:
- Read every question carefully.
- Show your working wherever necessary.
- Draw graphs neatly using a ruler.
- Do not use a calculator unless your teacher allows it.
Section A – Basic Understanding
1.
What is meant by data?
2.
What is the difference between raw data and organised data?
3.
What is the mean of a set of numbers?
4.
What is the median of a set of numbers?
5.
What is an outlier?
6.
Why can an outlier affect the mean?
7.
What is a dot plot?
8.
What information can we obtain from a graph?
Section B – Mean
9.
Find the mean of:
8, 10, 12, 14, 16
8, 10, 12, 14, 16
10.
Find the mean of:
15, 20, 10, 25, 30
15, 20, 10, 25, 30
11.
The marks obtained by five students are:
12, 18, 15, 20, 10
Find the mean marks.
12, 18, 15, 20, 10
Find the mean marks.
12.
The mean of six numbers is 14. Find their total sum.
13.
The mean of four numbers is 18. Three of the numbers are 12, 20 and 16. Find the fourth number.
14.
The scores of a player in four matches are 12, 15, 18 and 20. What score should the player make in the fifth match to make the mean score 17?
Section C – Median
15.
Find the median of:
5, 9, 7, 11, 6
5, 9, 7, 11, 6
16.
Find the median of:
4, 8, 10, 12, 15, 18, 20
4, 8, 10, 12, 15, 18, 20
17.
Find the median of:
5, 8, 12, 15, 18, 20
5, 8, 12, 15, 18, 20
18.
Arrange the following numbers in ascending order and find their median:
13, 6, 10, 4, 15, 8, 12
13, 6, 10, 4, 15, 8, 12
19.
Find the mean and median of:
18, 20, 15, 17, 20
18, 20, 15, 17, 20
20.
Find the mean and median of:
2, 5, 3, 7, 4, 5, 3, 11
2, 5, 3, 7, 4, 5, 3, 11
Section D – Outliers and Data
21.
Identify the outlier in the following data:
8, 9, 10, 8, 11, 9, 45, 10
8, 9, 10, 8, 11, 9, 45, 10
22.
Find the mean of:
10, 12, 14, 16, 18
10, 12, 14, 16, 18
23.
Consider the data:
5, 6, 7, 8, 9, 50
Which measure, mean or median, would better represent the data? Give a reason.
5, 6, 7, 8, 9, 50
Which measure, mean or median, would better represent the data? Give a reason.
24.
Explain how an unusually large value can change the mean.
Section E – Range and Mode
25.
Find the range of:
12, 18, 9, 21, 15, 7, 20
12, 18, 9, 21, 15, 7, 20
26.
Find the mode of:
1, 2, 2, 3, 3, 3, 4, 5
1, 2, 2, 3, 3, 3, 4, 5
27.
Find the mode of:
4, 5, 4, 6, 7, 4, 5, 8, 4
4, 5, 4, 6, 7, 4, 5, 8, 4
Section F – Frequency Table
28.
Make a frequency table for the following data:
2, 3, 2, 4, 5, 3, 2, 4, 5, 3
2, 3, 2, 4, 5, 3, 2, 4, 5, 3
| Number | Frequency |
|---|---|
| 2 | |
| 3 | |
| 4 | |
| 5 |
29.
The number of books read by students in one month is:
1, 2, 3, 2, 4, 1, 3, 2, 5, 3
Prepare a frequency table.
1, 2, 3, 2, 4, 1, 3, 2, 5, 3
Prepare a frequency table.
Section G – Graphs and Data Representation
30.
What is the purpose of representing data using a graph?
31.
What is a double bar graph?
32.
Write one difference between a dot plot and a double bar graph.
33.
A survey shows that 18 students like cricket, 12 like football and 10 like badminton.
(a) Which sport is liked by the greatest number of students?
(b) How many students were surveyed?
(c) What fraction of the students like cricket?
(a) Which sport is liked by the greatest number of students?
(b) How many students were surveyed?
(c) What fraction of the students like cricket?
34.
Draw a suitable graph to represent the following data:
| Sport | Number of Students |
|---|---|
| Cricket | 20 |
| Football | 15 |
| Badminton | 10 |
| Basketball | 5 |
Section H – Thinking and Reasoning
35.
A student says, “The mean is always one of the numbers in the data.” Is this statement always true? Explain.
36.
A data set has one very large value. Which is likely to be affected more, the mean or the median? Explain.
Extra Practice Questions
37.
Find the mean of:
14, 18, 12, 20, 16
14, 18, 12, 20, 16
38.
Find the median of:
7, 12, 4, 9, 15, 6, 10
7, 12, 4, 9, 15, 6, 10
39.
Find the median of:
5, 8, 12, 15, 18, 20
5, 8, 12, 15, 18, 20
40.
Find the mean and median of:
18, 20, 15, 17, 20
18, 20, 15, 17, 20
41.
Find the mean and median of:
2, 5, 3, 7, 4, 5, 3, 11
2, 5, 3, 7, 4, 5, 3, 11
42.
Identify the outlier:
8, 9, 10, 8, 11, 9, 45, 10
8, 9, 10, 8, 11, 9, 45, 10
43.
Find the range of:
12, 18, 9, 21, 15, 7, 20
12, 18, 9, 21, 15, 7, 20
44.
The mean of 6 numbers is 14. Find the sum of the six numbers.
45.
The mean of four numbers is 18. Three numbers are 12, 20 and 16. Find the fourth number.
46.
A player’s scores are 12, 15, 18 and 20. What score should the player get in the fifth match to make the mean score 17?
47.
Find the mode:
1, 2, 2, 3, 3, 3, 4, 5
1, 2, 2, 3, 3, 3, 4, 5
48.
Prepare a frequency table for:
2, 3, 2, 4, 5, 3, 2, 4, 5, 3
2, 3, 2, 4, 5, 3, 2, 4, 5, 3
| Number | Frequency |
|---|---|
| 2 | |
| 3 | |
| 4 | |
| 5 |
49.
Team A scores are 2, 4, 3, 5, 1.
Team B scores are 3, 3, 4, 2, 3.
Find the mean score of each team.
Team B scores are 3, 3, 4, 2, 3.
Find the mean score of each team.
50.
Consider the data:
5, 6, 6, 7, 8, 9, 10, 50
Which measure would better represent the data, mean or median? Give a reason.
5, 6, 6, 7, 8, 9, 10, 50
Which measure would better represent the data, mean or median? Give a reason.
51.
Find the mean, median and mode of:
0, 1, 2, 1, 3, 2, 1, 0, 4, 2
0, 1, 2, 1, 3, 2, 1, 0, 4, 2
52.
Why are graphs useful for representing data?
53.
Write one difference between a dot plot and a double bar graph.
54.
A survey shows that 18 students like cricket, 12 like football and 10 like badminton.
(a) Which sport is most popular?
(b) What fraction of the students like cricket?
(a) Which sport is most popular?
(b) What fraction of the students like cricket?
55.
The mean of a data set is 25. If 5 is added to every value in the data set, what will happen to the mean?
Challenge Corner
56.
The numbers 4, 6, 8, 10 and 12 have a certain mean. If each number is increased by 3, what will happen to the mean?
57.
Can two different data sets have the same mean but different medians? Explain with an example.
58.
A data set contains one extremely small value. Explain whether the mean or median is likely to be affected more.
59.
Create your own data set of 7 numbers whose median is 10.
60.
Create a data set containing an outlier. Find its mean and median and explain how the outlier changes the mean.
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