Which of the following statements is true for the mean and median of the scores 15, 8, 13, 1, 23, 15, 20, 1?

Mean is greater than the median
Median is greater than the mean
Both mean and median are equal
Median cannot be determined as there are even number of scores

LohaHridoy

5 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 2 : Median is greater than the mean

Given:

The series of the scores 15, 8, 13, 1, 23, 15, 20, 1

Formula used:

Mean = Sum of terms/Total number of terms

Median of data depends on the number of observations (n)

If number of observation is odd then

Median = Value of th observation

If number of observation is even then

Median = (1/2) × value of observation

Calculation:

The series of the scores 15, 8, 13, 1, 23, 15, 20, 1

Mean = (15 + 8 + 13 + 1 + 23 + 15 + 20 + 1)/8 = 96/8 = 12

There are two numbers 1 and 23 at the middle of the series. Then the median will be the average of these two numbers.

Arrange the given data in ascending order 1, 1, 8, 13, 15, 15, 20, 23

Here n = 8 which is even

Median = (1/2) × value of observation

⇒ (13 + 15)/2

⇒ 14

∴ Median is greater than the mean

Hence, option 2 is correct.

5 views Answered 2022-09-04 04:29

Related Questions

Below are given statements followed by some conclusions. You have to take the given statements to be true even if they seem to be at variance with the commonly known facts and then decide which of the given conclusions logically follow(s) from the given statements. Statements: A. All boys are monkeys. B. Some plants are monkeys. Conclusions: I. Some monkeys are boys. II. All plants are boys. Decide which of the below conclusions logically follows from the given statements.?

1 Answers 6 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 are the correct statements with regard to positive skewed distribution (A) Mean > Media > Mode (B) Mean < Median < Mode (C) Q3 - Median < Median - Q1 (D) Q3 - Median > Median - Q1 (E) Mean = Median = Mod Choose the correct answer from the options given below:?

1 Answers 5 Views

In the below question two statements I and II are given. These statements may either be independent causes or may be 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 the following answer choice correctly depicts the relationship between these two statements. Statements: I) Saketh lost his job as a software professional due to the recession last month. II) Ayansh, a salesperson, received only half his salary as there is fall in demand for their products in the market?

1 Answers 4 Views

The maximum weight lifted by 750 participants are recorded and it is found that the Mean and the Median of this distribution are both more than the Mode. If the Mean and the Median are 184 Kg and 178 Kg respectively, then which of the following is the most likely value of the Mode (in kg).?

1 Answers 5 Views

In the following question below are given some statements followed by some conclusions based on those statements. Taking the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusion logically follows the given statements. Statements: Some dogs are donkeys. No donkey is a horse. Conclusions: I. Some dogs are not horses. II. Some horses are dogs?

1 Answers 5 Views

Two statements I and II are given. These statements may be either independent causes or may be the 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 the following options correctly depicts the relationship between these two statements. Statements: I. The school bus with teachers and students couldn't reach the school on time. II. A major accident took place on the road blocking the traffic.?

1 Answers 4 Views

Which of the following are the characteristics of criteron‐referenced‐interpretation of test scores A. Achievement of specific skills or concepts by each individual learner is assessed. B. Instructional objectives are based on identified skills, rather than on broader learning. C. Test‐items discriminate between examinees in terms of their relative postions in the group tested. D. Scores are expressed in terms of percentile ranks or stanines to ensure inter‐examinee comparison. E. An examinee can compare his own performance in terms of development of skills over testing occasions. Choose the correct answer from the options given below.?

1 Answers 5 Views

In the following question below are given some statements followed by some conclusions based on those statements. Taking the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusion logically follows the given statements. Statements: 1. Some blades are razors. 2. All razors are axes. Conclusion: I. Some axes are blades. II. Some blades are axes.?

1 Answers 5 Views

এক্সাম দিয়ে মেধা যাচাই করুন

Job Preparation (1125)

Admission (754)

এসএসসি (10)

এইচএসসি (5)