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.
Who sit at the corner?
I. P, Q, R, S, T, U are seated in a straight line facing South. R sits third to the right of U and Q sits second to the ri...
Five persons R, S, T, U, and V live on different floors of a five-storey building such that the bottommost floor is numbered 1 and the floor immediately...
Six persons P, Q, R, S, T and U sitting in a row facing north. Who among the following sits third from the right end?
I.Q sits at an extreme en...
Who among A, B, C, D, and E is the tallest?
I. A is taller than B. E is not the tallest.
II. C is taller than A. D is not the tallest.
Seven persons A, B, Y, Z, E, F and G are sitting in a row facing north but not necessarily in the same order. Which of the following persons sit fourth...
Who is the tallest among five persons i.e. E, F, G, H and T?
Statements:
I. H is taller than only one person.
II. F is not the ta...
The question given below consists of two statements numbered I and II given below it. You have to decide whether the data provided in the statements a...
The question below consists of two statements 1 and 2. Decide whether the facts provided in the statements are sufficient to answer the question.
A, B,C,D,E and F are sitting in a straight line facing north. Who sits at extreme right end of the row.
I. C is second to the right of D, who is ...
Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in...