Statistical Description of DataPYQ Dec 21Question 2768 of 295
All Questions

A student makes in five subject S1,S2,S3,S4\displaystyle S1, S2, S3, S4 and S5\displaystyle S5 are 86,79,90,88\displaystyle 86, 79, 90, 88 and 89\displaystyle 89. If we need to draw a Pie chart to represent these markers, then what will be the Central angle for S3\displaystyle S3.

Options

A103.2∘\displaystyle 103.2^{\circ}
B75∘\displaystyle 75^{\circ}
C105.6∘\displaystyle 105.6^{\circ}
D94.8∘\displaystyle 94.8^{\circ}
For any discrepancies in this question, email contact@cadada.in

Correct Answer

✅ Option b — 75∘\displaystyle 75^{\circ}

All Options:

  • A103.2∘\displaystyle 103.2^{\circ}
  • B75∘\displaystyle 75^{\circ}
  • C105.6∘\displaystyle 105.6^{\circ}
  • D94.8∘\displaystyle 94.8^{\circ}

Detailed Solution & Explanation

To represent data in a pie chart, each category's value is converted into a sector of the circle. The central angle θ\displaystyle \theta for any component is proportional to its contribution to the total sum of all components:\nθ=Component ValueTotal Value×360∘\theta = \frac{\text{Component Value}}{\text{Total Value}} \times 360^{\circ}\n\n1. **Calculate the Total Marks** across all five subjects (S1,S2,S3,S4,S5\displaystyle S_1, S_2, S_3, S_4, S_5):\n Total Marks=86+79+90+88+89=432\text{Total Marks} = 86 + 79 + 90 + 88 + 89 = 432\n\n2. **Identify the marks for subject S3\displaystyle S_3**:\n Marks in S3=90\text{Marks in } S_3 = 90\n\n3. **Calculate the Central Angle for S3\displaystyle S_3**:\n θS3=90432×360∘\theta_{S3} = \frac{90}{432} \times 360^{\circ}\n - Simplifying 90432\displaystyle \frac{90}{432}:\n 90432=1048=524\frac{90}{432} = \frac{10}{48} = \frac{5}{24}\n - Calculating the angle:\n θS3=524×360∘=5×15∘=75∘\theta_{S3} = \frac{5}{24} \times 360^{\circ} = 5 \times 15^{\circ} = 75^{\circ}\n\nThus, the central angle for S3\displaystyle S_3 is exactly 75∘\displaystyle 75^{\circ}. This corresponds to Option B.\n\nHence, **Option B** is the correct answer.

More Questions from Statistical Description of Data

Mode can be obtained from________

The modes of presentation of data are:

The distribution of income is an example of frequency distribution of

In a frequency distribution, the relative frequency of the class is:

Histogram can be drawn when

Less than ‘o’give curve give

Ready to Master Statistical Description of Data?

Practice all 295 questions with instant feedback, earn XP, track your streaks, and ace your CA Foundation exam.

Start Practicing — It's Free