Problem Solving and Data Analysis MCQ Quiz in తెలుగు - Objective Question with Answer for Problem Solving and Data Analysis - ముఫ్త్ [PDF] డౌన్‌లోడ్ కరెన్

First, arrange the sales figures in ascending order (they already are). Since there are 6 numbers, the median will be the average of the 3rd and 4th numbers: . Hence, the median sales figure is 3200.

The correct answer is option 4. The margin of error in a survey is inversely related to the sample size: the smaller the sample size, the larger the margin of error. This is because a smaller sample size is less representative of the entire population, leading to greater variability in the results. Option 1 is incorrect because the diversity of the population does not directly affect the margin of error; it is the sample size that matters. Option 2 is incorrect because the approval rate does not influence the margin of error. Option 3 is incorrect because the question specifies that the same method was used, eliminating this as a reason for the different margins of error.

The mode of a data set is the number that appears most frequently. In option 1, the number 7 appears twice, more than any other number, making it the mode. Option 2 has no repeating numbers, so it has no mode. Option 3 has a mode of 6, and option 4 does not have 7 as the most frequent number. Therefore, the correct data set is 5, 7, 7, 8, 9, making option 1 correct.

Option 4 is correct. The study involved students who were taught using the new method, so the results can be generalized to all such students in the local high school. Option 1 is incorrect because not all students were part of the study. Option 2 is incorrect as it includes students from other schools not involved in the study. Option 3 is incorrect as it generalizes to a broader population beyond the scope of the study.

Given that the ratio , we can express this as . We also have . Substituting into this equation gives . Simplifying, we have . Dividing both sides by results in . Solving for , we multiply both sides by to get . Dividing both sides by 3, we find . Therefore, the value of is 9.

The given ratio implies that . Substituting this into the second equation yields . Simplifying, we get . Canceling gives . Solving for , we multiply both sides by to obtain . Dividing both sides by 5 results in . Thus, the value of is 35.

To find out how many widgets the factory produces in a day, we first calculate how many widgets it produces in one hour. At 30 widgets per minute, in one hour (60 minutes), the factory produces 30 × 60 = 1,800 widgets. Since the factory operates for 8 hours a day, the total production in a day is 1,800 × 8 = 14,400 widgets. Therefore, the correct answer is option 1, 14,400 widgets. The other options are incorrect as they do not correctly calculate the widgets produced in a day based on the given rate and operating hours.

The even numbers between 1 and 14 are 2, 4, 6, 8, 10, 12, and 14, making a total of 7 even numbers. Therefore, the probability is . Option 1 is the correct choice. Options 2, 3, and 4 incorrectly represent the count of even numbers.

Solution:

We are given:

60% boys → P(Boy) = 0.6

40% girls → P(Girl) = 0.4

8% of boys got 'A' → P(A | Boy) = 0.08

12% of girls got 'A' → P(A | Girl) = 0.12

We are to find: P(Boy | A)

Use Bayes' Theorem:

P(Boy | A) = [P(A | Boy) × P(Boy)] / P(A)

First, compute total probability of getting 'A':

P(A) = P(A | Boy) × P(Boy) + P(A | Girl) × P(Girl)

      = 0.08 × 0.6 + 0.12 × 0.4

      = 0.048 + 0.048 = 0.096

Now, compute P(Boy | A):

P(Boy | A) = (0.08 × 0.6) / 0.096 = 0.048 / 0.096 = 0.5

The problem-solving method is an instructional approach that engages students in identifying, analyzing, and solving problems through critical thinking and inquiry.

Key Points

• Being a structured and inquiry-based approach, the problem-solving method is generally not a time-saving method.
• In fact, it often requires more time than traditional methods because students explore multiple possibilities, gather information, test solutions, and reflect on their findings.
• The focus is on deep understanding rather than quick coverage of content.
• While it is highly beneficial in promoting meaningful learning, it demands considerable classroom time for planning, execution, and discussion.

Hint

•  Helping in the development of scientific attitude is a key strength, as students learn to think logically, question assumptions, and make evidence-based conclusions.
• Training in the scientific method occurs naturally in this approach since learners go through steps such as problem identification, hypothesis formation, experimentation, and evaluation.
• Being a learner-centered method, it places the student at the core of the learning process, encouraging autonomy, curiosity, and active participation.

Hence, the correct answer is time saving method.