Balbharati solutions for Mathematics and Statistics 1 (Arts and Science) [English] 11 Standard Maharashtra State Board chapter 8 - Measures of Dispersion [Latest edition]

Find the range of the following data:

19, 27, 15, 21, 33, 45, 7, 12, 20, 26

Find range of the following data:

575, 609, 335, 280, 729, 544, 852, 427, 967, 250

The following data gives number of typing mistakes done by Radha during a week. Find the range of the data:

Following results were obtained by rolling a die 25 times. Find the range of the data:

Find range for the following data:

Find variance and S.D. for the following set of numbers:

7, 11, 2, 4, 9, 6, 3, 7, 11, 2, 5, 8, 3, 6, 8, 8, 2, 6

Find variance and S.D. for the following set of numbers:

65, 77, 81, 98, 100, 80, 129

Compute variance and standard deviation for the following data:

Compute the variance and S.D.

Following data gives age of 100 students in a college. Calculate variance and S.D.

Find mean, variance and S.D. of the following data:

Find the variance and S.D. of the following frequency distribution which gives the distribution of 200 plants according to their height:

The mean of 5 observations is 4.8 and the variance is 6.56. If three of the five observations are 1, 3 and 8, find the other two observations

The means of two samples of sizes 60 and 120 respectively are 35.4 and 30.9 and the standard deviations 4 and 5. Obtain the standard deviation of the sample of size 180 obtained by combining the two sample

For a certain data, following information is available:

Obtain the combined standard deviation

Calculate coefficient of variation of marks secured by a student in the exam, where the marks are: 85, 91, 96, 88, 98, 82

Find the coefficient of variation of a sample which has mean equal to 25 and standard deviation of 5

A group of 65 students of class XI have their average height is 150.4 cm with coefficient of variance 2.5%. What is the standard deviation of their height?

Two workers on the same job show the following results:

1. Regarding the time required to complete the job, which worker is more consistent?
2. Which worker seems to be faster in completing the job?

A company has two departments with 42 and 60 employees respectively. Their average weekly wages are Rs. 750 and Rs. 400. The standard deviations are 8 and 10 respectively: Which department has a larger bill?

A company has two departments with 42 and 60 employees respectively. Their average weekly wages are Rs. 750 and Rs. 400. The standard deviations are 8 and 10 respectively: Which department has larger variability in wages?

The following table gives weights of the students of two classes. Calculate the coefficient of variation of the two distributions. Which series is more variable?

Compute coefficient of variation for team A and team B:

Which team is more consistent?

Given below is the information about marks obtained in Mathematics and Statistics by 100 students in a class. Which subject shows the highest variability in marks?

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If there are 10 values each equal to 10, then S.D. of these values is : ––––––––––

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Number of patients who visited cardiologists are 13, 17, 11, 15 in four days then standard deviation (approximately) is ______.

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If the observations of a variable X are, −4, −20, −30, −44 and −36, then the value of the range will be:

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The standard deviation of a distribution divided by the mean of the distribution and expressing in percentage is called:

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If the S.D. of first n natural numbers is `sqrt(2)`, then the value of n must be ––––––.

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The positive square root of the mean of the squares of the deviations of observations from their mean is called:

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The variance of 19, 21, 23, 25, and 27 is 8. The variance of 14, 16, 18, 20, and 22 is:

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For any two numbers, SD is always

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Given the heights (in cm) of two groups of students:

• Group A: 131 cm, 150 cm, 147 cm, 138 cm, 144 cm
• Group B: 139 cm, 148 cm, 132 cm, 151 cm, 140 cm

Which of the following is/are the true?

I) The ranges of the heights of the two groups of students are the same

II) The means of the heights of the two groups of students are the same.

Select the correct option from the given alternatives :

Standard deviation of data is 12 and mean is 72 then coefficient of variation is

Answer the following:

Find the range for the following data:

76, 57, 80, 103, 61, 63, 89, 96, 105, 72

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Find the range for the following data: 116, 124, 164, 150, 149, 114, 195, 128, 138, 203, 144 

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Given below the frequency distribution of weekly wages of 400 workers. Find the range

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Find the range of the following data

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Find variance and S.D. for the following set of numbers:

25, 21, 23, 29, 27, 22, 28, 23, 21, 25

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Find variance and S.D. for the following set of numbers: 125, 130, 150, 165, 190, 195, 210, 230, 245, 260

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Following data gives no. of goals scored by a team in 100 matches. Compute the standard deviation

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Compute the variance and S.D. for the following data:

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Calculate S.D. from following data:

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Given below is the frequency distribution of marks obtained by 100 students. Compute arithmetic mean and S.D.

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The arithmetic mean and standard deviation of a series of 20 items were calculated by a student as 20 cms and 5 cms respectively. But while calculating them, an item 13 was misread as 30. Find the corrected mean and standard deviation

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The mean and S.D. of a group of 50 observations are 40 and 5 respectively. If two more observations 60 and 72 are added to the set, find the mean and S.D. of 52 items.

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The mean height of 200 students is 65 inches. The mean heights of boys and girls are 70 inches and 62 inches respectively and the standard deviations are 8 and 10 respectively. Find the number of boys and the combined S.D.

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From the following data available for 5 pairs of observations of two variables x and y, obtain the combined S.D. for all 10 observations:

Where, `sum_("i" = 1)^"n" x_"i" = 30, sum_("i" = 1)^"n" y_"i" = 40, sum_("i" = 1)^"n" x_"i"^2 = 220, sum_("i" = 1)^"n" y_"i"^2 = 340`

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Calculate coefficient of variation of the following data: 23, 27, 25, 28, 21, 14, 16, 12, 18, 16

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Following data relates to the distribution of weights of 100 boys and 80 girls in a school:

Which of the two is more variable?

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The mean and standard deviations of two bands of watches are given below :

Calculate coefficient of variation of the two brands and interpret the results

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Calculate the coefficient of variation for the data given below:

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Calculate coefficient of variation for the data given below:

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Compute coefficient of variations for the following data to show whether the variation is greater in the yield or in the area of the field:

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There are two companies U and V which manufacture cars. A sample of 40 cars each from these companies are taken and the average running life (in years) is recorded

Which company shows greater consistency?

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The means and S.D. of weights and heights of 100 students of a school are as follows

Which shows more variability, weights or heights?