Question:
The median of the following set of numbers:
154, 130, 144, 137, 156, 146, 138, 149, 160, 138 is:
The median of the following set of numbers:
154, 130, 144, 137, 156, 146, 138, 149, 160, 138 is:
Show Hint
To calculate the median, arrange the numbers in ascending order and find the average of the two middle numbers when there is an even number of data points.
Updated On: Apr 14, 2025
- 145.0
- 145.2
- 151.0
- 146.0
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Step 1: Arrange the numbers in ascending order
The given numbers are: 154, 130, 144, 137, 156, 146, 138, 149, 160, 138.
When sorted in ascending order, we get:
130, 137, 138, 138, 144, 146, 149, 154, 156, 160
Step 2: Find the middle numbers
There are 10 numbers in the set. Since the number of terms is even, the median is the average of the 5th and 6th numbers in the ordered list.
The 5th number is 144, and the 6th number is 146.
Step 3: Calculate the median
The median is the average of the 5th and 6th numbers:
Median = (144 + 146) / 2 = 290 / 2 = 145.0
Thus, the median is 145.0.
The given numbers are: 154, 130, 144, 137, 156, 146, 138, 149, 160, 138.
When sorted in ascending order, we get:
130, 137, 138, 138, 144, 146, 149, 154, 156, 160
Step 2: Find the middle numbers
There are 10 numbers in the set. Since the number of terms is even, the median is the average of the 5th and 6th numbers in the ordered list.
The 5th number is 144, and the 6th number is 146.
Step 3: Calculate the median
The median is the average of the 5th and 6th numbers:
Median = (144 + 146) / 2 = 290 / 2 = 145.0
Thus, the median is 145.0.
Was this answer helpful?
0
0
Top Questions on Statistics
- The company at which Mark is employed has 80 employees, each of whom has a different salary. Mark’s salary of 43,700 is the second-highest salary in the first quartile of the 80 salaries. If the company were to hire 8 new employees at salaries that are less than the lowest of the 80 salaries, what would Mark’s salary be with respect to the quartiles of the 88 salaries at the company, assuming no other changes in the salaries?
- Compare:
Quantity A: The median of the 24 integers
Quantity B: 50 The coefficient of correlation of the above two data series will be equal to \(\underline{\hspace{1cm}}\)
\[\begin{array}{|c|c|} \hline X & Y \\ \hline -3 & 9 \\ -2 & 4 \\ -1 & 1 \\ 0 & 0 \\ 1 & 1 \\ 2 & 4 \\ 3 & 9 \\ \hline \end{array}\]
Identify the median class for the following grouped data:
\[\begin{array}{|c|c|} \hline \textbf{Class interval} & \textbf{Frequency} \\ \hline 5-10 & 5 \\ 10-15 & 15 \\ 15-20 & 22 \\ 20-25 & 25 \\ 25-30 & 10 \\ 30-35 & 3 \\ \hline \end{array}\]
- While writing a computer programming code, it was found that Team A incurred 250 errors in a code of 1000 lines while Team B incurred 300 errors in a code of 800 lines. In order to determine whether Team A has performed better than Team B, a statistical hypothesis was set and tested. Then the value of the test statistic is:
View More Questions
Questions Asked in GATE AG exam
Consider the relationships among P, Q, R, S, and T:
• P is the brother of Q.
• S is the daughter of Q.
• T is the sister of S.
• R is the mother of Q.
The following statements are made based on the relationships given above.
(1) R is the grandmother of S.
(2) P is the uncle of S and T.
(3) R has only one son.
(4) Q has only one daughter.
Which one of the following options is correct?- GATE MA - 2025
- GATE AG - 2025
- Blood Relations
- A stable drop structure is designed with a base length of 5.7 m. The sum of vertical forces excluding uplift is 92.5 kN, sum of uplift forces is 72.5 kN, and sum of moments of all the horizontal and vertical forces about an axis passing through mid-section of base length is 60 kN.m. The eccentricity denoting the longitudinal distance between the centroid of base area and the point of application of resultant vertical load is _________ m. (Rounded off to 2 decimal places)
- The average marks obtained by a class in an examination were calculated as 30.8. However, while checking the marks entered, the teacher found that the marks of one student were entered incorrectly as 24 instead of 42. After correcting the marks, the average becomes 31.4. How many students does the class have?
- A shop has 4 distinct flavors of ice-cream. One can purchase any number of scoops of any flavor. The order in which the scoops are purchased is inconsequential. If one wants to purchase 3 scoops of ice-cream, in how many ways can one make that purchase?
- GATE MA - 2025
- GATE AG - 2025
- Combinations
- Apple slices are dried from a moisture content of 65% (dry basis) to 10% (dry basis) in a hybrid solar dryer under falling rate period. The apple slices have a drying rate constant of \( \frac{1}{104} \) minute\(^{-1}\). Considering an equilibrium moisture content of 2% (dry basis), the time required for drying is _________ minutes. (Rounded off to 2 decimal places)
- GATE AG - 2025
- Soil Mechanics
View More Questions