Cengage Experts Team (CET) Solutions for Exercise 1: Practice Exercise

A person applies for immigration to country Z. Country Z evaluates a visa application of a person on the basis of four parameters namely, educational qualification, work experience, wealth owned and future prospects. For each parameter, a score is given from $0$ to $10$ and the parameters are given weights of $2$, $2$, $1$, and $3$, respectively. The visa is stamped if the weighted average score of the person is more than $5$. The score of the person on the various parameters is $5$, $6$, $8$ and $4$, respectively. What is the weighted average score of the person?

The academic grade of a student of class 10th is based on an average score of five tests. The maximum marks in each of the five subjects are 100. A score an average of 88 marks in the first three tests. What is the average marks scored by A in the next two tests if the overall average of his marks is 90?

The monthly average rainfall of a district for the first $7$ months is $1.1$ inches less than the monthly average rainfall of the district for the whole year. The rainfall for the next $4$ months is $20.8$ inches and the rainfall in the last month is $0.4$ inches. Find the monthly average rainfall of the district for the whole year?

The average of two numbers increases by $30$, when one of the numbers is doubled and increases by $25$, when the other number is doubled. What is the average of the two numbers?

A student takes four tests. The average of the first two tests is $50$. The average of the second and the third tests is$60$ and the average of the third and the fourth test is $70.$ What is the average of the first and the fourth tests?

A person purchases 1 kg onions from four different places at the rate of Rs.1/kg, Rs.2/kg, Rs.3/kg and Rs.4/kg, respectively. On average, how many kgs of onions per rupee were purchased by the person?

Consider the following statements:

1. Mean is an appropriate measure to equally distribute a number of items among a number of people.

2. Median is used to find the middle value of a distribution.

3. Mode is used to determine an item which is in maximum demand.

Which of the statements given above is/are correct?

Consider the following information regarding the scores obtained by 100,000 students in four different tests:

If a student scores 64 marks in each of the four tests, in which one of the following tests is her performance the best?