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Chapter 7: Frequency Distribution Tables and Graphs > Easy Level Worksheet Questions

Easy Level Worksheet Questions

Part A: Subjective Questions

Note: Answer each question with steps and explanation. Write down the answers on sheet and submit to the school subject teacher.

(1) What is a frequency table?

Excellent! A frequency table organizes data by showing how many times each value appears, making patterns in data easy to identify.

(2) Write the definition of frequency.

Perfect! Frequency is the count of how often each specific value or category appears in a dataset.

(3) How many axes are used in a bar graph?

Correct! Bar graphs use two axes: the horizontal (x-axis) for categories and vertical (y-axis) for frequencies or values.

(4) Which graph is used to represent numerical data?

Great! Bar graphs effectively display numerical data using rectangular bars with heights proportional to the values.

(5) What is the sum of frequencies called?

Outstanding! The sum of all frequencies equals the total number of data points collected in your study.

Drag each characteristic to its correct graph type:

Uses rectangles with equal width
Uses sectors of a circle
Points connected by lines
Uses symbols or pictures
Bars can be vertical or horizontal
Shows parts of a whole
Shows trends over time
Easy to understand visually
Bar Graph/Histogram
Pie Chart
Line Graph
Pictograph

(1) Prepare a frequency table for the marks: 2, 3, 5, 3, 2, 5, 4, 3, 2.

(a) Count each mark:

Mark 2: frequency = {.reveal(when="blank-0")}Mark 3: frequency =

Mark 4: frequency =

Mark 5: frequency =

(b) Total observations =

Outstanding! You correctly verified that 3+3+1+2 = 9 total observations, which is essential for creating accurate frequency tables.

(2) Draw a bar graph for the data: Class A = 40, Class B = 35, Class C = 45, Class D = 30.

(a) Highest value =

(b) Lowest value =

(c) Range = Highest - Lowest =

Excellent calculation! The range of 15 shows the spread between class sizes and helps determine appropriate graph scaling.

(3) A coin is tossed 10 times and the number of heads is recorded as 6. Write the frequency of tails.

(a) Total tosses = 10, Heads = 6

(b) Frequency of tails = 10 - 6 =

Brilliant! Since there are only two outcomes (heads/tails), tails = total tosses - heads = 4, demonstrating complementary probability.

(4) The marks obtained by 5 students in a test are 10, 15, 20, 25, 30. Draw a bar graph.

(a) Number of students =

(b) Each mark has frequency =

(c) Maximum mark =

Excellent! The highest score achieved is 30 marks, which sets the upper limit for your graph's vertical axis.

Test your understanding with these multiple choice questions:

6. In a bar graph, the width of each bar is:

(a) Different (b) Equal (c) Sometimes equal (d) None

Different
Equal
Sometimes equal
None

Correct! In a bar graph, all bars have equal width for consistency.

7. Which type of data is best represented by a frequency table?

(a) Large data (b) Small data (c) Both (d) None

Large data
Small data
Both
None

Correct! Frequency tables are useful for organizing both large and small data sets.

8. If 5 students scored 10 marks each, then the frequency of "10 marks" is:

(a) 50 (b) 5 (c) 10 (d) 15

50
5
10
15

Correct! Frequency is the count of how many times the value appears, which is 5 students.

9. In a histogram, the rectangles are:

(a) Touching each other (b) Separate from each other (c) Always diagonal (d) Sometimes curved

Touching each other
Separate from each other
Always diagonal
Sometimes curved

Correct! In a histogram, the rectangles touch each other because they represent continuous data.

10. The graphical representation of data using sectors of a circle is called:

(a) Histogram (b) Line graph (c) Pie chart (d) Bar graph

Histogram
Line graph
Pie chart
Bar graph

Correct! A pie chart uses sectors (slices) of a circle to represent data.