model 1 basic average questions Practice Questions Answers Test with Solutions & More Shortcuts

average PRACTICE TEST [9 - EXERCISES]

model 1 basic average questions

model 2 average of consecutive numbers

model 3 twice, thrice, one third etc. of numbers

model 4 find nth average from 1st & last number

model 5 find new average from error

model 6 find average of excluded number

model 7 average on ages/weight

model 8 find monthly income

model 9 average on cricket/exam

average Important Formulas, Rules, Concepts & Shortcuts

Question : 61 [SSC CHSL2015]

The mean high temperature of the first four days of a week is 25°C whereas the mean of the last four days is 25.5°C. If the mean temperature of the whole week is 25.2°C then the temperature on the 4th day is

a) 25.2°C

b) 25.6° C

c) 25°C

d) 25.5°C

Shortcut »

Answer: (b)

Temperature on 4th day

= (4 × 25 + 4 × 25.5 –25.2 × 7)°C

= (100 + 102 – 176.4)°C

= 25.6°C

Question : 62 [SSC CAPFs SI, CISF 2014]

The average of all the numbers between 6 and 50 which are divisible by 5 is

a) 28.5

b) 22

c) 30

d) 27.5

Shortcut »

Answer: (d)

Using Rule 1,

Average of two or more numbers/quantities is called the mean of these numbers, which is given by

$\text"Average(A)" = \text"Sumof observation / quantities"/\text"No of observation / quantities"$

∴ S = A × n

Numbers are : 10, 15, 20, 25, 30, 35, 40, 45

Sum = 220

Average = $220/8$ = 27.5

Question : 63

The average of n numbers $x_1 , x_2 , .... x_n$ is $\ov{x}$ . Then the value of $∑↙{i=1} ↖n $$(x_i - \ov{x})$ is equal to

a) n$\ov{x}$

b) $\ov{x}$

c) 0

d) n

Shortcut »

Answer: (c)

Using Rule 1,

${x_1+x_2+…x_n}/n$ = $\ov{x}$

∴ $??{i=1}?n $$(x_i - \ov{x})$

= $(x_1 - \ov{x})$+$(x_2 - \ov{x})$+…$(x_n - \ov{x})$

= $({x_1+x_2+…+x_n})$ - n.$\ov{x}$

=n $({x_1+x_2+…+x_n}/n)$ - n.$\ov{x}$

= $n\ov{x} – n\ov{x}$ = 0

IMPORTANT quantitative aptitude EXERCISES

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