Students taking an exam are divided into two groups, P and Q such that each group has the same number of students. The performance of each of the students in a test was evaluated out of 200 marks. It was observed that the mean of group P was 105, while that of group Q was 85. The standard deviation of group P was 25, while that of group Q was 5. Assuming that the marks were distributed on a normal distribution, which of the following statements will have the highest probability of being TRUE?

No student in group Q scored less marks than any student in group P.
No student in group P scored less marks than any student in group Q.
Most students of group Q scored marks in a narrower range than students in group P.
The median of the marks of group P is 100.

LohaHridoy

5 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 3 : Most students of group Q scored marks in a narrower range than students in group P.

Standard Deviation is a measure that is used to quantify the amount of variation or dispersion of a set of data values.

[ alt="Extra Images-8" src="https://storage.googleapis.com/tb-img/production/17/06/Extra%20Images-8.PNG" style="height: 229px; width: 403px;">

For P, SD = 25 and m = 105

So the limits will be m – 2s = 55 and m + 2s = 155

For Q, SD = 5 and m = 85

So the limits will be m – 2s = 75 and m + 2s = 95

95% of students in P scores between 55 to 155.

95% of students in Q score between 75 to 95.

For Normal Distribution: Mean = Median = Mode. D is not correct.

A and B cannot be said to be true with certainty.

C is the correct answer. As the SD of Q is less than P, most students of group Q scored marks in a narrower range than students in group P.

5 views Answered 2022-09-04 04:29

Related Questions

In the following question, two statements are numbered as A and B. On solving these statements we get quantities A and B respectively. Solve for the both quantities and choose the correct option. Quantity A: A positive number is such that adding its square root to itself gives another number equal to twice the first number. Find number Quantity B: A number which is greater than 2 is such that adding square of that number to itself gives another number equal to 3 less than 5 times of the given number. Find number?

1 Answers 4 Views

In each of the following questions, two statements numbered I and II are given. There may be cause and effect relationship between the two statements. These two statements may be the effect of the same cause or independent causes. These statements may be independent causes without having any relationship. Read both the statements in each question and mark your answer. Statements: I. Hotel Leela venture, which currently has a debt of over Rs. 3,600 crore, had issued secured redeemable non-convertible debentures on private placement basis aggregating to Rs. 90 crores to LIC in December, 2008. II. Hotel Leela venture’s "operating cash flows are not sufficient to service its term loans and NCDs and the funds of the company are escrowed with its lenders and are also monitored by the lenders".?

1 Answers 6 Views

In making decisions about important questions, it is desirable to be able to distinguish between strong and weak arguments. Strong arguments are those, which are both important and directly related to the question. Weak arguments are those, which are of minor importance and also may not be directly related to the question or may be related to a trivial aspect of the question. The questions below are followed by two arguments each numbered I and II. You have to decide which of the two arguments is the strong argument and which is the weak argument. Statement: Should religious groups be banned Arguments: Yes. Religious groups give rise to the problem of communalism in future and may lead to violent differences with the other communities. No. Religious groups provide a space to people to pray with their community and share their religious sentiments.?

1 Answers 5 Views

The question given below has two statements I and II. These statements may be either independent causes or maybe effects of independent causes or a common cause. One of these statements may be the effect of the other statement. Read both the statements and decide which of these answer choices correctly depicts the relationship between the two statements. Statements: I. This year the cut off percentage for admission to junior colleges has increased over the last year. II. This year’s performance of the students in Xth final exam was considerably higher than that of the previous year.?

1 Answers 7 Views

The following question has three statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. Ram appeared in 5 exams. Each exam was of 100 marks. To pass the exams, he should obtain at least 40% marks subject wise and 50% in aggregate. Determine, whether he is pass or fail I) He secured 255 marks in aggregate II) His aggregate marks in first two exams is 78 III) His marks in last two exams is 2.5 ∶ 1?

1 Answers 4 Views

In the following question, two statements are given each followed by two conclusions I and II. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any follows from the given statements. Statements: I) We are going back again to our ancestors and finding out the importance of Yoga and Pranayam. II) People in west have already opted it, It does not require any external equipment but only body and soul. Conclusions: I) Ancient science is treasure of many cures and natural remedies of various diseases. II) Technology has overshadowed these ancient sources and introduced new concepts of fitness called gym.?

1 Answers 5 Views

Two processes X and Y need to access a critical section. Consider the following synchronization construct used by both the processes Process /* other code for process */ while(true) { varP = true; while(varQ == true) { /* Critical Section */ varP = false; } } /* other code for process */ Process /* other code for process */ while(true) { varQ = true; while(varP == true) { /* Critical Section */ varQ = false; } } /* other code for process */ Here, varP and varQ are shared variables and both are initialized to false. Which one of the following statements is true?

1 Answers 5 Views

Which of the following assertions are CORRECT P: Adding 7 to each entry in a list adds 7 to the mean of the list Q: Adding 7 to each entry in a list adds 7 to the standard deviation of the list R: Doubling each entry in a list doubles the mean of the list S: Doubling each entry in a list leaves the standard deviation of the list unchanged?

1 Answers 4 Views

The cash flow approach to assessing debt capacity involves the following steps; arrange these steps in a correct sequence: (A) Specify the tolerance limit on the probability of default. (B) Estimate the probability distribution of cash flows, taking into account the projected performance of the firm. (C) Calculate the fixed charges by way of interest payment and principal repayment associated with various levels of debt. (D) Estimate the debt capacity of the firm as the highest level of debt which is acceptable. Choose the correct answer from the options given below:?

1 Answers 5 Views

Six classmates gave an exam. Yatharth scored more marks than Karan. Parth's marks were less than Amrita. Vineeta scored more marks than Parth. Parth scored exactly the same marks as Yatharth. Girish did not score more marks than Karan. Vineeta scored less marks than Amrita. Which of the following options is NOT correct according to above information?

1 Answers 6 Views

এক্সাম দিয়ে মেধা যাচাই করুন

Job Preparation (1125)

Admission (754)

এসএসসি (10)

এইচএসসি (5)