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
Scores obtained by two students P and Q in seven courses are given in the table below. Based on the information given in the table, which one of the following statements is INCORRECT?
- Two systems \( U \) and \( V \) are defined as shown below. Which of the following statement(s) is/are CORRECT? \[ x(t) \quad {System} \, U \quad y(t) = x(t)^2 + 1 \] \[ x(t) \quad {System} \, V \quad y(t) = x(t) + 1 \]
- Gelatin solutions P and Q of concentrations 3.5% and 0.5%, respectively, need to be mixed to obtain a 3% solution R. How much volume (in ml) of P needs to be mixed with 100 ml of Q to obtain R? (Choose the correct option)
- The elements of the dataset \( \{-5, 1, a, 5, b\} \) are in ascending order. If both the mean and median of the dataset are equal to 3, what is the value of \( b \)?
- \( N \) independent trials of a binomial random variable yield an expectation value of 16 and variance of 12. What is the value of \( N \)?
View More Questions
Questions Asked in GATE AG exam
- A cylindrical concrete silo of 6 m internal diameter and 24 m height is filled with rough rice having a bulk density of 635 kg/m\(^3\). The angle of friction between the concrete wall and rough rice is 30°. The ratio between lateral and vertical pressure is 0.4. The ratio of lateral pressure at 10 m depth to the 5 m depth is _________. (Rounded off to 2 decimal places)
- GATE AG - 2025
- Power Transmission through Pipe
- Apple juice (viscosity = 1.6 cP) is being filtered through a 2 m\(^2\) filter under a constant pressure. The juice has solid concentration of 0.04 g.mL\(^{-1}\) in filtrate. The total pressure drop is 325.33 kPa. The values of cake and filter medium resistance are \(1.85 \times 10^{11}\) m.kg\(^{-1}\) and \(3.50 \times 10^{11}\) m\(^{-1}\), respectively. The time required to filter 800 litres of juice is ________ hour. (Answer in integer)
- GATE AG - 2025
- Filtration
- In an inoculated pack study, 0.5 kg peas per can are thermally processed at 121 °C. One group of cans contains Clostridium spp. spores with an initial spore level of \( 5 \times 10^{10} \) per can. Another group of cans contains Bacillus spp. spores. It is desired to have spoilage probability of 5 in 100 cans after thermal processing. The decimal reduction time of Clostridium spp. and Bacillus spp. at 121 °C are 2.5 minutes and 6.0 minutes, respectively. If all the cans receive the same lethality, the initial number of spores of Bacillus spp. per g of peas is __________ (Answer in integer)
- GATE AG - 2025
- Thermal Process
- For a right-hand offset disc harrow, the longitudinal distance from the hitch point to the centers of the front and rear gangs are 2.5 m and 4.5 m, respectively. The resultant horizontal soil forces in longitudinal direction on the front and rear gangs are 3.0 kN and 3.5 kN, respectively; while the resultant horizontal soil forces in lateral directions are 2.5 kN and 4.0 kN, respectively. Considering the resultant soil forces acting at the centers of front and rear gangs, the amount of offset of the center of cut with respect to the hitch point is _________ m. (Rounded off to 2 decimal places)
- GATE AG - 2025
- Soil Mechanics
- A mouldboard plough is operated by a 2WD tractor with 6.0 kN pull. The ratio of lateral component to the longitudinal component of soil forces is 0.30, and the ratio of the vertical component to the longitudinal component of soil forces is 0.50. If the diameter of the driving wheels is 1.2 m and the rear axle rotates at 10 rpm, the drawbar power produced at 20% wheel slip is _________ kW. (Rounded off to 2 decimal places)
- GATE AG - 2025
- Tractors and Power Tillers
View More Questions