If mean of the numbers 2, (2p + 2), 7, 13, 17, 4 and (p - 1) is 8, then find their median. Option 1: 4 Option 2: 6 Option 3: 7 Option 4: 13

Answer: 7. Solution: Sum = 2 + (2p+2) + 7 + 13 + 17 + 4 + (p-1) = 3p + 44. Mean = (3p + 44)/7 = 8 p = 4. Numbers: 2, 10, 7, 13, 17, 4, 3. Ascending: 2, 3, 4, 7, 10, 13, 17. Median = 7 (middle term).

Arithmetic

Central Tendency

Medium

If mean of the numbers 2, $(2p + 2)$ , 7, 13, 17, 4 and $(p - 1)$ is 8, then find their median.

✅ Correct Option: 3

Sum $= 2 + (2p+2) + 7 + 13 + 17 + 4 + (p-1) = 3p + 44$ . Mean $= \frac{3p + 44}{7} = 8 \Rightarrow p = 4$ .

Numbers: 2, 10, 7, 13, 17, 4, 3. Ascending: 2, 3, 4, 7, 10, 13, 17.

Median $= 7$ (middle term).

2026: 18 May Shift 1

For the data set: 5, 7, 9, 11, 13, the standard deviation is:

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: 21 May Shift 2

Heights (in cm) of 15 students are:

142, 145, 148, 150, 152, 155, 148, 150, 150, 152, 155, 148, 150, 152, 148.

What is the median height of the students?

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?

2025: 15 May Shift 1

Consider the following distribution.

Class Interval	0-20	20-40	40-60	60-80	80-100
Frequency	17	28	32	f	19

f the mean of the above distribution is 50, find the value of f.

2026: 21 May Shift 1

Find the mean deviation about the median for the following data set:

3, 9, 5, 3, 12, 10, 18, 4, 7, 19, 21.

If mean of the numbers 2, (2p+2)(2p + 2)(2p+2), 7, 13, 17, 4 and (p−1)(p - 1)(p−1) is 8, then find their median.

Solution

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CUET General Test Past Year Questions (Topic-Wise)

If mean of the numbers 2, $(2p + 2)$ , 7, 13, 17, 4 and $(p - 1)$ is 8, then find their median.