Welcome to the live session of Statistics & Average Part I. The concepts and questions discussed on October 13, 2017 during the live session follow the embedded video. The video link next to each question will take you to the start of the part of the video where that specific question is discussed. Click the video embedded below to watch the entire session.

Questions discussed on October 13, 2017

Average

1. The average age of students of class A comprising 20 students is 20 years and that of students of classes A and B together is 16 years. If class B comprises 40 students, what is the average age of students of class B?

   • Correct Answer
   • LOD: Easy
   • Video Solution

2. The average salary of a graduating class of 30 students is $8420 per month and that of another class comprising 20 students is $8438 per month. What is the average monthly salary of the students of the two classes taken together?

   • Correct Answer
   • LOD: Easy
   • Video Solution

3. The average of 5 positive integers is 40. The largest value among the 5 is 44. What is the minimum value possible for the smallest of these 5 numbers?

   • Correct Answer
   • LOD: Medium
   • Video Solution

4. Aaron was asked to calculate the arithmetic mean of ten positive integers each of which had two digits. By mistake, he interchanged the two digits, say a and b, in one of these ten integers (ab). As a result, his answer for the arithmetic mean was 2.7 more than what it should have been. Find (b - a).

   • Correct Answer
   • LOD: Medium
   • Video Solution

Range, Median, and Mode

1. The range of the weight of men in a team is 12 kg, and that of the women in the team is 10 kg. What is the range of the weight of the team if the lightest man in the team is 3 kg lighter than the heaviest woman in the team?

   • Correct Answer
   • LOD: Medium
   • Video Solution

2. Consider 11 distinct integers whose median is 90 and range is 60. The median for the five smallest integers is 65. What is the maximum range for the five largest integers?

   • Correct Answer
   • LOD: Hard
   • Video Solution

3. The arithmetic mean of 5 positive integers a, b, c, d, and e is 22, and a < b < c < d < e. If e is 40, what is the greatest possible value of the median of the 5 integers? What is the least possible value of the median of the 5 integers?

   • Correct Answer
   • LOD: Hard
   • Video Solution

4. A set contains the following observations : a, ak, ak² where a, k > 0. For what value of ‘k’ will the median of the set be greater than the arithmetic mean?

   • Correct Answer
   • LOD: Medium
   • Video Solution