If mean of the data 5, 6, 8, 13, p+3, 8, 3 is 7 and its median is q, then find √(p+q). Option 1: 3 Option 2: 4 Option 3: 8 Option 4: 9

Answer: 3. Solution: Sum = 5+6+8+13+(p+3)+8+3 = 46+p. Mean 7 means sum = 7 x 7 = 49, so p = 3. Data becomes 5, 6, 8, 13, 6, 8, 3. Sorted: 3, 5, 6, 6, 8, 8, 13. Median (4th value) = 6, so q = 6. Thus √(p+q) = √9 = 3.

Arithmetic

Central Tendency

Medium

If mean of the data 5, 6, 8, 13, p+3, 8, 3 is 7 and its median is q, then find $\sqrt{p+q}$ .

✅ Correct Option: 1

Sum = $5+6+8+13+(p+3)+8+3 = 46+p$ . Mean 7 means sum $= 7 \times 7 = 49$ , so $p = 3$ . Data becomes 5, 6, 8, 13, 6, 8, 3. Sorted: 3, 5, 6, 6, 8, 8, 13. Median (4th value) = 6, so $q = 6$ . Thus $\sqrt{p+q} = \sqrt{9} = 3$ .

2025: 28 May Shift 2

In the first 9 matches of a cricket tournament, the wickets taken by Jumpo are as follows:

3 2 0 1 3 0 5 1 4

Find the median of the number of wickets taken by Jumpo?

2023: 21 May Shift 1

The average of 12 numbers is 15 and the average of the first two numbers is 14. What is the average of the remaining numbers?

2022: 6 Aug Shift 1

Mean of the data is:

2022: 17 Aug Shift 1

The mean of the data in numerals is

2026: 30 May Shift 2

The wicket taken by a bowler in 10 cricket matches are as follows:

2 6 4 5 0 2 1 3 2 3

Find the mode of the data.

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 ?

If mean of the data 5, 6, 8, 13, p+3, 8, 3 is 7 and its median is q, then find p+q\sqrt{p+q}p+q​.

Solution

Related questions:

Keyboard Shortcuts

CUET General Test Past Year Questions (Topic-Wise)

If mean of the data 5, 6, 8, 13, p+3, 8, 3 is 7 and its median is q, then find $\sqrt{p+q}$ .