Arithmetic

Central Tendency

Easy

The median of the observations: 12, 59, 14, 46, 18, 42, 26, 33, 22 is:

✅ Correct Option: 3

The median is the middle value when all numbers are arranged from smallest to largest.

The given observations are: 12, 59, 14, 46, 18, 42, 26, 33, 22

Total numbers $= 9$

Arranging in ascending order:

12, 14, 18, 22, 26, 33, 42, 46, 59

Since there are 9 numbers (odd count), there is one middle value.

Middle position $= \dfrac{n + 1}{2}$

Middle position $= \dfrac{9 + 1}{2}$

Middle position $= \dfrac{10}{2}$

Middle position $= 5$

The 5th value in the sorted list is 26.

Therefore, the median is 26.

2023: 28 May Shift 1

Thirty six students of class IX contributed on an average Rs 42 towards flood relief fund whereas some students of class X contributed on an average Rs 54.50. If the overall average contribution per student remained Rs 47, then how many students of class X contributed ?

2025: 3 June Shift 1

Consider the following frequency distribution.

Class	0-10	10-20	20-30	30-40	40-50	50-60	60-70
Frequency	4	5	7	10	12	8	4

Find the median of the distribution?

2026: 12 May Shift 1

The median of the following frequency distribution is 52. If the total frequency is 50, the values of x and y are:

Class Interval	Class Frequency
0-10	1
10-20	3
20-30	x
30-40	6
40-50	5
50-60	8
60-70	y
70-80	7
80-90	5
90-100	3

2025: 19 May Shift 1

If the data is not following a symmetrical distribution, then the relationship between mean, median and mode is:

2026: 25 May Shift 2

The median of numbers 14, 7, 18, 21 and 27 is:

2023: 11 June Shift 2

For the data 11, 15, 13, 12, 10, 8, 11, 7, 15, 11, 13, 7, 11, which of the following is true?

The median of the observations: 12, 59, 14, 46, 18, 42, 26, 33, 22 is:

Solution

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