RD Chapter 24- Measures of Central Tendency Ex-24.1 |
RD Chapter 24- Measures of Central Tendency Ex-24.2 |
RD Chapter 24- Measures of Central Tendency Ex-24.4 |
RD Chapter 24- Measures of Central Tendency Ex-VSAQS |

Find the median of the following data (1-8)

83, 37, 70, 29, 45, 63, 41, 70, 34, 54

**Answer
1** :

The given data is 83, 37, 70, 29, 45, 63, 41, 70, 34 and 54.

Arranging the given data in ascending order, we have

29, 34, 37, 41, 45, 54, 63, 70, 70, 83

Here, the number of observation , which is an even number.

Hence, the median is

**Answer
2** :

The given data is 133, 73, 89, 108, 94, 104, 94, 85, 100 and 120.

Arranging the given data in ascending order, we have

73, 85, 89, 94, 94, 100, 104, 108, 120, 133

Here, the number of observation , which is an even number.

Hence, the median is

**Answer
3** :

The given data is 31, 38, 27, 28, 36, 25, 35 and 40.

Arranging the given data in ascending order, we have

25, 27, 28, 31, 35, 36, 38, 40

Here, the number of observation , which is an even number.

Hence, the median is

**Answer
4** :

The given data is 15, 6, 16, 8, 22, 21, 9, 18, and 25.

Arranging the given data in ascending order, we have

6, 8, 9, 15, 16, 18, 21, 22, 25

Here, the number of observation , which is an odd number.

Hence, the median is

**Answer
5** :

The given data is 41, 43, 127, 99, 71, 92, 71, 58 and 57.

Arranging the given data in ascending order, we have

41, 43, 57, 58, 71, 71, 92, 99, 127

Here, the number of observation n=9 , which is an odd number.

Hence, the median is

**Answer
6** :

The given data is 25, 34, 31, 23, 22, 26, 35, 29, 20 and 32.

Arranging the given data in ascending order, we have

20, 22, 23, 25, 26, 29, 31, 32, 34, 35

Here, the number of observation , which is an even number.

Hence, the median is

**Answer
7** :

The given data is 12, 17, 3, 14, 5, 8, 7 and 15.

Arranging the given data in ascending order, we have

3, 5, 7, 8, 12, 14, 15, 17

Here, the number of observation , which is an even number.

Hence, the median is

**Answer
8** :

The given data is 92, 35, 67, 85, 72, 81, 56, 51, 42 and 69.

Arranging the given data in ascending order, we have

35, 42, 51, 56, 67, 69, 72, 81, 85, 92

Here, the number of observation , which is an even number.

Hence, the median is

**Answer
9** :

The given data in descending order is

50, 42, 35, 2x+10, 2x-8, 12, 11, 8

Here, the number of observation , which is an even number.

Hence, the median is

But, it is given that the median is 25. Hence, we have

**Answer
10** :

The given data is 46, 64, 87, 41, 58, 77, 35, 90, 55, 92 and 33.

Arranging the given data in ascending order, we have

33, 35, 41, 46, 55, 58, 64, 77, 87, 90, 92

Here, the number of observation , which is an odd number.

Hence, the median is

If 92 and 41 are replaced by 99 and 43 respectively, then the given data becomes 46, 64, 87, 43, 58, 77, 35, 90, 55, 99 and 33.

Arranging the new data in ascending order, we have

33, 35, 43, 46, 55, 58, 64, 77, 87, 90, 99

Here, the number of observation , which is an odd number.

Hence, the new median is

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