Pie Chart Formulas

Formulas of Pie Chart In Data Interpretation

Here , In this Page Formulas of Line Chart in Data Interpretation is given.
data interpretation pie chart formulas

Pie Chart Formulas in DI

A pie chart is a type of pictorial representation of data that divides a circle into various sectors to explain the numeric values. Each section is a proportionate part of the whole circle. The total of all data in a pie is equal to 360° and the total value of a pie is always 100%.

There are two main formulas used in pie charts:

  • To calculate the percentage of the given data, we use the formula: (Frequency ÷ Total Frequency) × 100
  • To convert the data into degrees we use the formula: (Given Data ÷ Total value of Data) × 360°

Uses of Pie Chart In Data Interpretation

The main use of a pie chart is to show comparison. When items are presented on a pie chart, you can easily see which item is the most popular and which is the least popular.

Various applications of pie charts can be found in business, school, and at home. For business, pie charts can be used to show the success or failure of certain products or services. They can also be used to show market reach of a business compared to similar businesses.

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Pie Chart Formula Based Questions

Directions:

The following pie-chart shows the market share of different banks in India. Based on this pie-chart determine the questions given below.

Question 1.

If the value of the market share of BOI is Rs. 4000 crores, then the market share of BOB and Axis bank together is

formulas for pie chart data interpretation

A. 24,363 crores
B. 24,432 crores
C. 24,864 crores
D. 25, 827 crores

Explanation :

You can see that BOI accounts for 11 % of the market share. And this 11 % is equal to the 4000 crores. So to calculate the total market share of BOB and axis the formula will be, 67/11 x 4000 = 24,363. Thus, the correct answer is A.

Question 2.

If the total market share other than Axis and BOB is Rs. 335,000 crores. Then find the market share of BOI and HDFC banks.

A. 274,560 crores
B. 274,090 crores
C. 274,809 crores
D. Cannot be determined

Explanation :

Here, from the pie-chart, you can determine that the total market share of Axis and BOB in terms of percentage is 67 % and this is equal to Rs. 335,000. In addition to this the other banks that are left accounts for 33 % which equates to 35,000 crores. HDFC and BOI equal the market share of 27 %. Thus, their market share in terms of crores is 27 x 335000/33 => 274090 crores. So, the correct answer is C.

Question 3.

 Find the approximate ratio of market share between BOI and BOB.

A. 1: 2
B. 3: 1
C. 1 : 3
D. Not possible

Explanation :

Take the market share of BOB and BOI and compare them both to find the ratio. As a result, the market share of BOB is given as 34 % and the market share of BOI is given as 11 %. So, the ratio of market share of BOI to a market share of BOB will be 11: 34. This will be close to 1 : 3. So, the correct answer is C.

Directions:

The pie chart given below shows the spending of Arvind Kejriwal’s family on different articles for the year 2011 according to data. Analyse the pie chart and answer the questions which follow.

formulas for pie charts data interpretation

Question 1.

If the total amount that was spent in the year 2011 was 50000 by Kejriwal’s family, the amount that was spent on food was

A. Rs.225000
B. Rs.22500
C. Rs.24000
D. Rs.21400

Explanation:

Amount spent on Food = 45% of Rs. 50000/- = Rs. 22500/-

Question 2.

If the total amount that was spent in the year 2011 was Rs. 48000 by Kejriwal’s family, the amount that was spent on housing and clothing combined was

A. Rs.9600
B. Rs.8000
C. Rs.10000
D. Rs.12000

Explanation:

Amount spent on Clothing and Housing together = (15% + 5% = 20%) of 48000 = Rs. 9600/-.

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