Question
If a, b and c are the median, mode and range,
respectively of the data: 8, 5, 4, 3, 2, 7, 3, 10, 9, 17, 12, 3, 8, 4, then what is the value of (3a-2b+c)?Solution
Arranging the data in ascending order, we have: 2, 3, 3, 3, 4, 4, 5, 7, 8, 8, 9, 10, 12, 17 The median is the middle value of the data. Since there are 14 values, the median is the average of the 7th and 8th values: Median = (5+7)/2 = 6 The mode is the value that appears most frequently in the data. In this case, the value 3 appears three times, which is more than any other value. Therefore, the mode is 3. The range is the difference between the largest and smallest values in the data. In this case, the smallest value is 2 and the largest value is 17. Therefore, the range is: Range = Largest value - smallest value = 17 - 2 = 15 Now, we can substitute the values of a, b, and c into the given expression: 3a - 2b + c = 3(6) - 2(3) + 15 = 18 - 6 + 15 = 27 Therefore, the value of (3a-2b+c) is 27.
When did Haryana launch the Deendayal Lado Lakshmi Yojana?
The Community of Portuguese Language Countries (CPLP) began marking 5 May to celebrate the Portuguese language in which year?
Who has been nominated for the emerging T20 Women Cricketer of the year award 2022 from India?
In which country the International Union for Conservation of Nature (IUCN) 'World Conservation Congress' 2025 will be organized?
How many anti-drone units are planned to be installed along Punjab’s international border under the ₹51.4 crore plan?
- Which company signed an MoU with the Telangana government to develop AI solutions?
SEBIÂ has approved amendments to the SEBI(Infrastructure Investment Trusts) Regulations, 2014 and SEBI (Real Estate Investment Trusts) Regulations, 201...
How much profit did Public Sector Banks (PSBs) collectively record in FY25?
What was the significant achievement of Agnikul's Agnibaan launch vehicle?
How many kilometres of access-controlled roads are planned to be added to the high-speed network over the coming decade?