Arithmetic

Central Tendency

Easy

The average of eight numbers is 6. If each number is multiplied by 5, then the average of the new set of numbers is

✅ Correct Option: 2

If each number is multiplied by the same constant $k$ , the average is also multiplied by $k$ . New average $= 6 \times 5 = 30$ .

2022: 17 Aug Shift 1

The mean of the data in numerals is

2025: 30 May Shift 2

Match List I with List II

List I	List II
Statistical Measure	Definition
(A) Mode	(I) Sum of all observations divided by their count
(B) Median	(II) Measure of the spread from the mean
(C) Mean	(III) Central value when observations are arranged in order
(D) Standard Deviation	(IV) Observation which has the highest frequency

Choose the correct answer from the options given below:

2025: 21 May Shift 1

The mean of 6 numbers is 19. If two more numbers are included, the mean of the 8 numbers becomes 23. What is the sum of the two included numbers?

2025: 13 May Shift 2

The average of $39$ numbers is $17$ . Each number is multiplied by $12$ and then $16$ is added to each number. Finally, each number thus formed is divided by $11$ .

Determine the average of the new sets of numbers thus formed ?

2026: 20 May Shift 1

If the mode of any data is 36.8 and the mean is 35.37, then the value of median is:

2025: 22 May Shift 2

The average of marks of 15 papers is 45. The average of marks of the first 8 papers is 48 and that of the last 8 papers is 40. The marks of the eight paper will be:

The average of eight numbers is 6. If each number is multiplied by 5, then the average of the new set of numbers is

Solution

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