RANGE STANDARD DEVIATION AND VARIANCE WORKSHEET

Question 1 :

Find the range and coefficient of range of the following data

(i) 59, 46, 30, 23, 27, 40, 52, 35, 29

(ii) 41.2, 33.7, 29.1, 34.5, 25.7, 24.8, 56.5, 12.5

Solution

Question 2 :

The smallest value of a collection of data is 12 and the range is 59. Find the largest value of the collection of data.

Solution

Question 3 :

The largest of 50 measurements is 3.84 kg. If the range  is 0.46 kg, find the smallest measurement.

Solution

Question 4 :

The standard deviation of 20 observations is √5. If each observation is multiplied by 2, find the standard deviation and variance of the resulting observations.

Solution

Question 5 :

Calculate the standard deviation of the first 13 natural numbers.            Solution

Question 6 :

Calculate the standard deviation of the following data      

10, 20, 15, 8, 3, 4

Solution

Question 7 :

Calculate the standard deviation of the following data.

38, 40, 34, 31, 28, 26, 34

Solution

Question 8 :

Calculate the standard deviation of the following data

     x     3     8    13    18    23

     f     7    10    15    10    8

Solution

Question 9 :

The number of books bought at a book fair 200 students from a school are given in the following table.

Number of books              0       1        2       3        4

Number of students       35     64       68     18       15

calculate the standard deviation.

Solution

Question 10 :

The time (in seconds) taken by a group of people to walk across a pedestrian crossing is given in the table below.

Time (in sec)   5-10      10-15      15-20      20-25     25-30

No of people       4             8           15           12         11

Calculate the standard deviation.

Solution

Question 11 :

A group of 45 house owners contributed money towards green environment of their street. The amount of money collected is shown in the table below.

Amount          0-20   20-40   40-60    60-80    80-100

No of house      2         7          12          19           5 

Calculate the standard deviation.         Solution

Question 12 :

Calculate the variance of the following table.

x    2    4    6     8    10    12    14    16

f    4    4    5    15     8      5      4    5

Solution

Question 13 :

Find the variance of the following distribution

Solution

Question 14 :

The mean and standard deviation of 20 items are found to be 10 and 2 respectively. At the time of checking it was found that an item 12 was wrongly entered as 8. Calculate the correct mean and standard deviation.

Question 15 :

Mean of 100 items is 48 and their standard deviation is 10. Find the sum of all the items and the sum of the squares of all the items.

Apart from the stuff given on this web page, if you need any other stuff in math, please use our google custom search here.

If you have any feedback about our math content, please mail us : 

v4formath@gmail.com

We always appreciate your feedback. 

You can also visit the following web pages on different stuff in math. 

WORD PROBLEMS

HCF and LCM  word problems

Word problems on simple equations 

Word problems on linear equations 

Word problems on quadratic equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation 

Word problems on unit price

Word problems on unit rate 

Word problems on comparing rates

Converting customary units word problems 

Converting metric units word problems

Word problems on simple interest

Word problems on compound interest

Word problems on types of angles 

Complementary and supplementary angles word problems

Double facts word problems

Trigonometry word problems

Percentage word problems 

Profit and loss word problems 

Markup and markdown word problems 

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

Pythagorean theorem word problems

Percent of a number word problems

Word problems on constant speed

Word problems on average speed 

Word problems on sum of the angles of a triangle is 180 degree

OTHER TOPICS 

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

Time, speed and distance shortcuts

Ratio and proportion shortcuts

Domain and range of rational functions

Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6