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Class 10 Statistics: Mode and Mean

Sep 8, 2024

Mathematics Class 10: Chapter 13 - Statistics

Introduction to the Lecture

  • Presenter: Mandeep
  • Subject: Mathematics, Chapter 13 - Statistics, Exercise 13.2
  • There are a total of 6 questions in Exercise 13.2.

Exercise 13.2: Question 1

Question Description

  • Data related to the age of patients admitted to the hospital is given.
  • We need to find the mode and mean.

Procedure to Find Mode and Mean

  1. To find the mean:
    • Add the lower and upper limits of age.
    • Example: (5 + 15) / 2 = 10
  2. To find the mode:
    • Determine f1, f0, and f2 from the frequency table.
    • Mode formula: [ \text{Mode} = l + \frac{f1 - f0}{2f1 - f0 - f2} \times h ]
    • Here, l = 35, h = 10
  3. Compare mean and mode.

Question 2

Question Description

  • Life-time data of 225 electrical components is given.
  • We need to find the modal lifetime.

Procedure

  1. Determine the frequency and limits.
  2. Use the formula for mode:
    • Use the same mode formula.
  3. Follow the procedure to calculate the mean.

Question 3

Question Description

  • Data of monthly household expenses of 200 families is given.
  • We need to find the modal and mean monthly expenses.

Procedure

  1. To find the mode:
    • Apply the same formula.
  2. For mean:
    • Calculate x╠Д and then find the mean.

Question 4

Question Description

  • Data on the teacher-student ratio in Indian high schools is given.
  • We need to find the mode and mean.

Procedure

  1. Determine frequency, l, and h.
  2. Apply the mode formula.
  3. Calculate x╠Д to find the mean.

Question 5

Question Description

  • Data on scores by top batsmen in One Day International cricket is given.
  • We need to find the mode.

Procedure

  1. Find mode from the frequency table.
  2. Apply the mode formula.

Question 6

Question Description

  • A student has recorded the number of cars on the road.
  • We need to find the mode.

Procedure

  1. Determine frequency.
  2. Use the necessary data to find the mode.

Conclusion

  • All answers and procedures were followed accurately.
  • Further video links are provided below, please do not forget to watch and understand.

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