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Statistics relates to CBSE/Class 10/Mathematics/UNIT VII: Statistics and probability

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Answered on 19/04/2024 Learn CBSE/Class 10/Mathematics/UNIT VII: Statistics and probability/Statistics

1. In a continuous frequency distribution, the median of the data is 21. If each observation is increased...
1. In a continuous frequency distribution, the median of the data is 21. If each observation is increased by 5, then find the new median.

Sadika

If each observation in a continuous frequency distribution is increased by 5, the median of the new data set will also increase by 5. This is because the median is the middle value of the data set, and adding the same constant to every observation simply shifts the entire data set by that constant. read more

If each observation in a continuous frequency distribution is increased by 5, the median of the new data set will also increase by 5. This is because the median is the middle value of the data set, and adding the same constant to every observation simply shifts the entire data set by that constant.

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Answered on 19/04/2024 Learn CBSE/Class 10/Mathematics/UNIT VII: Statistics and probability/Statistics

2. The average score of boys in the examination of a school is 71 and that of the girls is 73. The average...
2. The average score of boys in the examination of a school is 71 and that of the girls is 73. The average score of the school in the examination is 71.8. Find the ratio of the number of boys to the number of girls who appeared in the examination.

Sadika

Let's denote: b as the number of boys, g as the number of girls. Given: The average score of boys is 71. The average score of girls is 73. The average score of the school is 71.8. read more

Let's denote:

  • b as the number of boys,
  • g as the number of girls.

Given:

  1. The average score of boys is 71.
  2. The average score of girls is 73.
  3. The average score of the school is 71.8.

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Answered on 19/04/2024 Learn CBSE/Class 10/Mathematics/UNIT VII: Statistics and probability/Statistics

3. While checking the value of 20 observations, it was noted that 125 was wrongly noted as 25 while calculating...
3. While checking the value of 20 observations, it was noted that 125 was wrongly noted as 25 while calculating the mean and then the mean was 60. Find the correct mean.

Sadika

To find the correct mean, we first need to adjust the sum of the observations by adding the difference between the correct value of 125 and the wrongly noted value of 25. Then we can divide this adjusted sum by the total number of observations. read more

To find the correct mean, we first need to adjust the sum of the observations by adding the difference between the correct value of 125 and the wrongly noted value of 25. Then we can divide this adjusted sum by the total number of observations.

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Answered on 19/04/2024 Learn CBSE/Class 10/Mathematics/UNIT VII: Statistics and probability/Statistics

4. Find the mean of the 32 numbers, such that if the mean of 10 of them is 15 and the mean of 20 of them...
4. Find the mean of the 32 numbers, such that if the mean of 10 of them is 15 and the mean of 20 of them is 11. The last two numbers are 10.

Sadika

To find the mean of the 32 numbers, we can use the concept of weighted averages. Given: The mean of 10 of the numbers is 15. The mean of 20 of the numbers is 11. The last two numbers are 10. Let's denote: read more

To find the mean of the 32 numbers, we can use the concept of weighted averages.

Given:

  1. The mean of 10 of the numbers is 15.
  2. The mean of 20 of the numbers is 11.
  3. The last two numbers are 10.

Let's denote:

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Answered on 03/01/2022 Learn CBSE/Class 10/Mathematics/UNIT VII: Statistics and probability/Statistics

5. Find the mean of the first 10 natural numbers.

Swati R.

NET JRF qualified and preparing for PhD..

First 10 Natural numbers are:- 1,2,3,4,5,6,7,8,9,10 Mean = Sum of all numbers/ total number of observations = 1+2+3+4+5+6+7+8+9+10 / 10 = 55/ 10 = 5.5 Therefore, 5.5 is the mean of first 10 natural numbers read more

First 10 Natural numbers are:- 1,2,3,4,5,6,7,8,9,10

Mean = Sum of all numbers/ total number of observations

        = 1+2+3+4+5+6+7+8+9+10 / 10 

        = 55/ 10 

        = 5.5

Therefore, 5.5 is the mean of first 10 natural numbers

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