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-24.3 |
RD Chapter 24- Measures of Central Tendency Ex-24.4 |

**Answer
1** :

Given that the ratio of mean and median of a certain data is 2:3. That is,

We know that

**Answer
2** :

Given that the ratio of mode and median of a certain data is 6:5. That is,

We know that

**Answer
3** :

The given data is x+2, 2x+3, 3x+4, 4x+5. They are four in numbers.

The mean is

But, it is given that the mean is x+2. Hence, we have

**Answer
4** :

Given that the arithmetic mean and mode of a data are 24 and 12 respectively. That is,

We have to find median

We know that

**Answer
5** :

Given that the difference of mode and median of a data is 24. That is,

We have to find the difference between median and mean

We know that

**Answer
6** :

Given that the median of the scores , where is 6. The number of scores n is 5, which is an odd number. We have to find

Note that the scores are in descending order. Hence the median is

But, it is given that the median is 6. Hence, we have

**Answer
7** :

The given data is . They are 6 in numbers.

The mean is

But, it is given that the mean is 5. Hence, we have

**Answer
8** :

The given data is .

The mode is the value which occur maximum number of times, that is, the mode has maximum frequency. If the maximum frequency occurs for more than 1 value, then the number of mode is more than 1 and is not unique.

Here it is given that the mode is 4. So, x must be 4, otherwise it contradicts that the mode is 4. Hence

**Answer
9** :

The given data is . The total number of values is , is an even number. Hence the median depends on the observation and observation.

Since we have to find the maximum possible value of x.So we must put it in the 4th position when ordering in ascending order.

Arranging the data in ascending order, we have

Hence, the median is

Here it is given that the median is 29. So, we have

**Answer
10** :

The given data is 1, 2, x, 4 and 5. Since , the given data is already in ascending order.

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

Hence, the median is

Here, it is given that the median is 3. Hence, we have .

The mean is

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