Class 9 Exam  >  Class 9 Notes  >  RD Sharma Solutions for Class 9 Mathematics  >  RD Sharma Solutions Ex-24.4, Measures Of Central Tendency, Class 9, Maths

RD Sharma Solutions Ex-24.4, Measures Of Central Tendency, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics PDF Download

Q 1 . Find out the mode of the following marks obtained by 15 students in a class :

Marks : 4 , 6 , 5 , 7 , 9 , 8 , 10 , 4 , 7 , 6 , 5 , 9 , 8 , 7 , 7.

SOLUTION :

Marks45678910
No.of Students2224221

Since maximum frequency corresponds to the value 7 then mode = 7 marks.


Q 2 . Find out the mode from the following data :

125 , 175 , 225 , 125 , 225 , 175 , 325 , 125 , 375 , 225 , 125

SOLUTION :

Values125175225325375
Frequency42311

Since maximum frequency 4 corresponds to the value 125 then mode = 125


Q 3 . Find the mode for the following series :

7.5 , 7.3 , 7.2 , 7.2 , 7.4 , 7.7 , 7.7 , 7.5 , 7.3 , 7.2 , 7.6 , 7.2

SOLUTION :

Values7.27.37.47.57.67.7
Frequency421212

Since maximum frequency 4 corresponds to the value 7.2  then mode = 7.2


Q 4 . Find the mode of the following data in each case :

(i) .  14 , 25 , 14 , 28 , 18 , 17 , 18 , 14 , 23 , 22 , 14 , 18

SOLUTION :

Arranging the numbers in ascending order:

14 , 14 , 14 , 14 , 17 , 18 , 18 , 18 , 22 , 23 , 25 , 28

Here the observation 14 is having the highest frequency i . e , 4 in given data, so mode = 14.

(ii) . 7 , 9 , 12 , 13 , 7 , 12 , 15 , 7 , 12 , 7 , 25 , 18 , 7

SOLUTION :

Values791213151825
Frequency5131111

Since maximum frequency 5 corresponds to the value 7  then mode = 7


Q 5 . The demand of different shirt sizes, as obtained by a survey, is given below :

Size:38394041424344Total
No. of persons(wearing it)263920151375125

Find the modal shirt sizes, as observed from the survey.

SOLUTION :

Size:38394041424344Total
No. of persons(wearing it)263920151375125

Since, maximum frequency 39 corresponds to the value 39  then mode = 39

The document RD Sharma Solutions Ex-24.4, Measures Of Central Tendency, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics is a part of the Class 9 Course RD Sharma Solutions for Class 9 Mathematics.
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FAQs on RD Sharma Solutions Ex-24.4, Measures Of Central Tendency, Class 9, Maths - RD Sharma Solutions for Class 9 Mathematics

1. What are the different measures of central tendency in statistics?
Ans. In statistics, there are three commonly used measures of central tendency: mean, median, and mode. The mean is calculated by summing up all the values in a dataset and dividing it by the total number of values. The median is the middle value when the data is arranged in ascending or descending order. The mode is the value that appears most frequently in the dataset.
2. How is the mean calculated?
Ans. The mean is calculated by summing up all the values in a dataset and dividing it by the total number of values. For example, if we have a dataset with values 2, 4, 6, 8, and 10, the mean would be (2+4+6+8+10)/5, which is 6.
3. What is the median and how is it calculated?
Ans. The median is the middle value when the data is arranged in ascending or descending order. To calculate the median, the data is first arranged in order. If the total number of values is odd, the median is the middle value. If the total number of values is even, the median is the average of the two middle values. For example, in the dataset 3, 6, 7, 9, 12, the median is 7.
4. When is the mode used as a measure of central tendency?
Ans. The mode is used as a measure of central tendency when we want to find the most frequently occurring value in a dataset. It is particularly useful in datasets with categorical or qualitative variables, where the mode represents the category or value that occurs most often.
5. Can there be more than one mode in a dataset?
Ans. Yes, it is possible to have more than one mode in a dataset. In a dataset where multiple values occur with the same highest frequency, all those values are considered as modes. Such datasets are called multimodal. In contrast, a dataset with only one mode is called unimodal.
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