Standard Deviation

IMPORTANT

Standard Deviation: Overview

This topic covers concepts, such as, Coefficient of Variation in Statistics, Standard Deviation, Standard Deviation for Grouped Frequency Distribution: Continuous Classes & Standard Deviation of Continuous Data etc.

Important Questions on Standard Deviation

EASY
IMPORTANT

Calculate standard deviation for the data

C.I15-2020-2525-3030-3535-4040-45Freq587241

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If the variance of any data 35th then standard deviation will be

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IMPORTANT

Find the standard deviation of the following data.

Class interval0-1010-2020-3030-4040-50Frequency54832

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What will be the standard deviation of the data:-

5,8,15,19,10

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Determine the standard deviation for the data as 5,9,12,7,4

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If each value in a given data is substacted by 9.5 in them will be the new standard deviation if the standard deviation is 4.5

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Which one of the following statements is wrong regarding symbolic representation for standard deviation?

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Which one of the following statements is correct regarding symbolic representation for standard deviation?

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Match the list I and list II (symbol of the respective Mathematical term) and select the correct answer using the code:

List I List II
A. Mean 1. σ    (sigma)
B. Standard deviation 2.  (sigma)

 

EASY
IMPORTANT

The symbol σ is used to represent _____ in measures of central tendency and dispersion.

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IMPORTANT

Find the sample standard deviation for the given ungrouped frequency distribution.

The below table shows the time spent (in hours) by 20 palyers in tennis practice:

Time spent (in hours) 1 3 4 5
Number of students 5 4 6 5

 

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In a given data, each value of dats is multiplied to 2.5 and the standard deviation of data given is 5. then what will be the new standard deviation.

MEDIUM
IMPORTANT

Find the sample standard deviation for the given ungrouped frequency distribution.

The below table shows the working hours in the Biology laboratory of 40 students:

x (in hours) 1 2 3 4
Number of students 5 10 10 15

 

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What will be the effect on standard deviation of data, if each value of data is divided by 1.5 and has standard deviation as 9

MEDIUM
IMPORTANT

Find the sample standard deviation for the given ungrouped frequency distribution.

x 1 2 3 4 5
f 5 6 3 1 7

 

MEDIUM
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Find the population standard deviation for Discrete Frequency Distribution.

The below table shows the time spent by total 60 students in their project work:

Time (in hours) 1 2 4 6 8
Number of Students 10 15 15 12 8

 

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If the varience of any data is 58.5 then what will be the standard deviation of that data?

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Find the population standard deviation for discrete frequency distribution:

The below table shows sleeping (in hours) of 55 persons:

Time (in hours) 5 6 7 8 9
Number of persons 20 10 15 6 4

 

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IMPORTANT

Find the population deviation for :

x=6,8,9,17n=4x=10

Note: x is total data.

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Find the population deviation for marks of the students in maths  8,9,13,14,6 ______.