Presentation of Data Test

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Presentation of Data Test - 31

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Weekly Quiz Competition

Question 1
1 / -0

Which one of the following graph is an example of frequency polygon?

A

B

C

D

Solution

We know, the frequency polygon is formed by joining the mid-points of each upper sides of adjacent rectangles of the histogram by line segments.
Then clearly, the option $$B$$ is an example of frequency polygon.
Question 2
1 / -0

The line graph represent the net sales rate of Apple company from the year $$2003-2013$$. Find the increase in sales rate during $$2005-2007$$.

A
$$16,000$$ millions

B
$$8,000$$ millions

C
$$26,000$$ millions

D
$$32,000$$ millions

Solution

The difference between the two sales rate of the year $$2005-2007$$ is:
$$32,000 - 16,000 = 16,000$$
So, the increase in sales rate from the year $$2005-2007 = 16,000$$ millions
Question 3
1 / -0

In the graph you can find the takings of a chocolate bar for $$8$$ months.
Answer the following question:
What is the average chocolate bars taken out from the month January to May?

A
$$23000$$

B
$$35000$$

C
$$50000$$

D
$$42000$$

Solution

From the given frequency polygon,
Number of chocolates taken in Jan $$=50000$$
Number of chocolates taken in Feb $$=40000$$
Number of chocolates taken in Mar $$=35000$$
Number of chocolates taken in Apr $$=45000$$
Number of chocolates taken in May $$=40000$$
Number of chocolates taken in June $$=50000$$
Number of chocolates taken in Jul $$=60000$$
Number of chocolates taken in Aug $$=60000$$.

Then, Average of chocolate bars taken out $$=$$ $$\dfrac{50000 + 40000+35000+45000+40000}{5}$$
$$=$$ $$\dfrac{210000}{5}$$ $$= 42000$$.

Therefore, $$42000$$ chocolate bars are taken out from the month January to May.
Hence, option $$D$$ is correct.
Question 4
1 / -0

The number of hours each student of a class spends studying is $$4, 6, 5, 8, 9, 5, 7, 4$$, and $$8$$ hours. Identify the frequency polygon for the given data.

A
figure $$1$$

B
figure $$3$$

C
figure $$4$$

D
figure $$2$$
Question 5
1 / -0

In the graph you can find the takings of a chocolate bar for $$8$$ months.
Answer the following question:
Find the percent increase from May to June.

A
$$10\%$$

B
$$25\%$$

C
$$30\%$$

D
$$50\%$$

Solution

From the given frequency polygon,
Number of chocolates taken in Jan $$=50000$$
Number of chocolates taken in Feb $$=40000$$
Number of chocolates taken in Mar $$=35000$$
Number of chocolates taken in Apr $$=45000$$
Number of chocolates taken in May $$=40000$$
Number of chocolates taken in June $$=50000$$
Number of chocolates taken in Jul $$=60000$$
Number of chocolates taken in Aug $$=60000$$.

$$\therefore$$ Percent increase for month May and June $$=$$ $$\dfrac{50000-40000}{40000}\times 100\%$$ $$= 25\%$$.

Hence, option $$B$$ is correct.
Question 6
1 / -0

In the graph you can find the takings of a chocolate bar for $$8$$ months. Answer the following question
Identify in which two months $$50000$$ chocolate bars are taken out?

A
Jan and Feb

B
Jun and Jul

C
Jan and Jun

D
Feb and Mar

Solution

From the given frequency polygon,
Number of chocolates taken in Jan $$=50000$$
Number of chocolates taken in Feb $$=40000$$
Number of chocolates taken in Mar $$=35000$$
Number of chocolates taken in Apr $$=45000$$
Number of chocolates taken in May $$=40000$$
Number of chocolates taken in June $$=50000$$
Number of chocolates taken in Jul $$=60000$$
Number of chocolates taken in Aug $$=60000$$.

Clearly, we can say Jan and June months shows the same number of chocolates, i.e. $$50000$$ chocolates.
So, in the months of Jan and June, $$50000$$ chocolate bars are taken out.

Hence, option $$C$$ is correct.
Question 7
1 / -0

Identify the frequency polygon.

A

B

C

D

Solution

We know, the frequency polygon is formed by joining the mid-points of each upper sides of adjacent rectangles of the histogram by line segments.
Then clearly, the option $$A$$ is an example of frequency polygon.
Question 8
1 / -0

In which frequency polygon is best suitable for the following table.
Month
Jun.
Jul.
Aug.
Sep.
Oct.
Number of burgers sold
100
400
300
500
200

A

B

C

D

Solution

We know, the frequency polygon is formed by joining the mid-points of each upper sides of adjacent rectangles of the histogram by line segments.

To draw the frequency polygon of the given data:
Step 1: The heights of the bars in the histograms indicate the number of burgers sold.
Step 2: Observe the heights of the bars in the histograms to match with the given values.
Step 3: Compute the midpoints of the bars and draw the lines along these midpoints.
Step 4: Frequency polygon of this data will be as follows.

Therefore, option $$A$$ represents the frequency polygon for the given data.
Question 9
1 / -0

If XYZ Auto Company sold 23,000 vehicles in 1999, how many were SUV's?

A
2,990

B
3,030

C
3,450

D
4,760

E
4,775
Question 10
1 / -0

How many watches were sold in all 5 months?

A
160

B
180

C
175

D
170

Solution

Total Sales= Addition of sales individually in each month.
Total Sale$$=20+50+20+60+30=180$$