Bar Graphs for Ungrouped Data

Q. The monthly profits (in Rs.) of 100 shops are distributed as follows:

Profits per shop:	0-50	50-100	100-50	150-200	200-250	250-300
No. shops:	12	18	27	20	17	6

Draw a histogram for the data and show the frequency polygon for it.

Q. Ungrouped data, measured not in numbers, is represented by __________.

1. Bar Graph
2. Histogram
3. Frequency Polygon
4. Pie chart

Q.

The bar graph given below shows the sales of newspapers (in million number) from six branches of a publishing company during two consecutive years 2013 and 2014.

i) What is the average sales of all the branches (in million numbers) for the year 2014?

ii) What is the total sales of NP1, NP3 and NP5 for both years?

1. 49.666, 310

2. 52.666, 160

3. 41.333, 235

4. 45.833, 260

Q.

The following 2 bar graphs shows the details of price distribution of making a car.One shows the amounts (in million Rs.) invested by a Lamborgini in purchasing raw materials for the production of a car over the years and the other shows the values (in million Rs.) of finished car sold by the Company over the years.

i)The difference between the amount invested in Raw materials and value of sales of finished car was maximum during which year?

ii) The value of sales of finished goods in 2009 was approximately what percent of the sum of amount invested in Raw materials in the years 2007, 2008 and 2009?

1. 2008, 45.33

2. 2009, 42.56

3. 2007, 48.78

4. 2006, 51.65

Q. Directions: In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R).
Mark the correct choice as:
Assertion (A): Bar graph is represented with the help of bars or rectangles.
Reason (R): Bar graphs can represent the data of single series and multiple series.

1. Assertion (A) is false, but Reason (R) is true.
2. Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
3. Assertion (A) is true, but Reason (R) is false.
4. Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A)

Q. Using the data in ex.10, draw frequency polygon without drawing histogram.

Q.

Assertion (A): Bar graphs are represented with the help of rectangles.​

Reason (R): There are spaces between the bars of a bar graph.​

1. Assertion (A) is true but, reason (R) is false.
2. Both assertion (A) and reason (R) are false.
3. Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).​
4. Both assertion (A) and reason (R) are true, but reason (R) is not the correct explanation of assertion (A).

Q.

The following 2 bar graphs shows the details of price distribution of making a car.One shows the amounts (in million Rs.) invested by a Lamborgini in purchasing raw materials for the production of a car over the years and the other shows the values (in million Rs.) of finished car sold by the Company over the years.

i)The difference between the amount invested in Raw materials and value of sales of finished car was maximum during which year?

ii) The value of sales of finished goods in 2009 was approximately what percent of the sum of amount invested in Raw materials in the years 2007, 2008 and 2009?

1. 2006, 51.65

2. 2007, 48.78

3. 2008, 45.33

4. 2009, 42.56

Q. Question 8
A random survey of the number of children of various age groups playing in park was found as follows:

$\begin{array}{cc}Age\left(inyears\right)& Numberofchildren\\ 1-2& 5\\ 2-3& 3\\ 3-5& 6\\ 5-7& 12\\ 7-10& 9\\ 10-15& 10\\ 15-17& 4\end{array}$

Draw a histogram to represent the data above.

Q.

A discount of $15\%$ on one article is the same as a discount of $20\%$ on another article. Find the ratio of the cost price of the two articles.

1. 13:15

2. 16:17

3. 12:17

4. 15:17

Q.

The bar graph given below shows the sales of newspapers (in million number) from six branches of a publishing company during two consecutive years 2013 and 2014.

i) What is the ratio of the total sales of branch NP3 for both years to the total sales of branch NP5 for both years?

ii) Total sales of branch NP6 for both the years is what percent of the total sales of branches NP2 for both the years?

1. 2:3, 76.32%

2. 3:4, 65.22%

3. 5:7, 74.51%

4. 1:1, 69.56%

Q.

The following histogram shows the monthly profits (in rupees) of 100 shops. How many shops have profit more than Rs. 200?

1. 6

2. 17

3. 10

4. 20

Q.

The following histogram shows the monthly profits (in rupees) of 100 shops. How many shops have profit more than Rs. 200?

1. 6

2. 20

3. 10

4. 17

Q.

The bar graph given below shows the sales of newspapers (in million number) from six branches of a publishing company during two consecutive years 2013 and 2014.

i) What is the ratio of the total sales of branch NP3 for both years to the total sales of branch NP5 for both years?

ii) Total sales of branch NP6 for both the years is what percent of the total sales of branches NP2 for both the years?

1. 3:4, 65.23%

2. 5:7, 73.71%

3. 1:1, 69.56%

4. 2:3, 76.12%

Q.

Out of 10 students who appeared in a test, 3 of them scored less than 35 and 3 secured more than 75, the marks of the remaining 4 are 36 , 42 , 66 , 44. Find the median score of the whole group.

1. 54

2. 43

3. 45

4. Insufficient data

Q.

If we need to graphically represent data in which the values of the variable are not quantifiable (and hence not comparable), which of these will we use?

1. Bar graph

2. Can't say

3. Frequency polygon

4. Histogram

Q.

The bar graph given below shows the sales of newspapers (in million number) from six branches of a publishing company during two consecutive years 2013 and 2014.

i) What is the average sale of all the branches (in million numbers) for the year 2014?

ii) What is the total sales of NP1, NP3 and NP5 for both years?

1. 41.333, 235

2. 45.833, 260

3. 49.666, 310

4. 52.666, 160

Q. 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.

Q.

The following 2 bar graphs show the details of price distribution of making a car. One shows the amounts (in million Rs.) invested by Lamborgini in purchasing raw materials for the production of a car over the years and the other shows the value (in million Rs.) of finished car sold by the company over the years.

i)The difference between the amount invested in Raw materials and value of sales of finished car was maximum during which year?

ii) The value of sales of finished goods in 2009 was approximately what percent of the sum of amount invested in Raw materials in the years 2007, 2008 and 2009?

1. 2006, 51.65

2. 2007, 48.78

3. 2009, 42.56

4. 2008, 45.33

Q. Ungrouped data, measured not in numbers, is represented by __________.

1. Bar Graph
2. Histogram
3. Frequency Polygon
4. Pie chart

Q.

What is the maximum expenditure from the given graph ?

1. ₹ 1600

2. ₹ 1700

3. ₹ 1800

4. ₹ 1500

Q. The following bar graph shows the favourite colours of 20 students of a class.

From the graph, it can be inferred that

1. Blue is the favourite colour of most students.
2. Red is the favourite colour of the least of the students.
3. Orange is the second most popular colour.
4. Pink and green are equally liked.

Q.

Following graph shows monthly expenditure (in ₹) of a family. What was the expenditure in the month of March?

1. ₹500

2. ₹600

3. ₹1600

4. ₹800

Q.

The bar graph given below shows the sales of newspapers (in million number) from six branches of a publishing company during two consecutive years 2013 and 2014.

i)What is the average sales of all the branches (in million numbers) for the year 2014?

ii) What is the total sales of NP1, NP3 and NP5 for both years?

1. 41.333, 235

2. 45.833, 260

3. 52.666, 160

4. 49.666, 310