Tag: measurements and uncertainties

Questions Related to measurements and uncertainties

 Years Production of Car P  Production of Car Q Production of Car R 
2001  76  59  28
2002  82  62  36
2003  65  47 42 
2004  70  54  31
2005  85  57  49
2006  80  68  38

Direction (1-2) : Study the following table which shows the production of three different types of cars over the years.
The difference between the total production of three cars in the year $2004$ and $2006$ is _____.

physics measurements and uncertainties graphs of the form y=ax^2+bx+c some more types of functions functions and their graphs

  1. $11$

  2. $43$

  3. $31$

  4. $28$

Show answer
Correct Option: C
Explanation:

Total production of cars In year $2004$
$= 70 + 54 + 31 = 155$
Total production of cars in year $2006$
$= 80 + 68 + 38 = 186$
Hence, difference between the total production of three cars in the year $2004$ and $2006$
$= 186- 155 = 31$

 Years Production of Car P  Production of Car Q Production of Car R 
2001  76  59  28
2002  82  62  36
2003  65  47 42 
2004  70  54  31
2005  85  57  49
2006  80  68  38

Direction (1-2) : Study the following table which shows the production of three different types of cars over the years.
The average production of which of the following types of cars was maximum?

physics measurements and uncertainties graphs of the form y=ax^2+bx+c some more types of functions functions and their graphs

  1. $Q$

  2. $P$

  3. $R$

  4. All are equal

Show answer
Correct Option: B
Explanation:

Average production of Car $P$
$=$ $\dfrac {\text{Sum of production of Car P in each year}}{\text{Total number of years}}$
$=$ $\dfrac {76 + 82 + 65 + 70 + 85 + 80}{6}$ $=$ $\dfrac {458}{6}$ $= 76.33$
Average production of Car $Q$
$=$ $\dfrac {59 + 62 + 47 + 54 + 57 + 68}{6}$ $=$ $\dfrac {347}{6}$ $= 57.83$
Average production of Car $R$
$=$ $\dfrac {28 + 36 + 42 + 31 + 49 + 38}{6}$ $=$ $\dfrac {224}{6}$ $= 37.33$
Clearly, average production of Car $P$ is greater than Car $Q$ and Car $R$.
Hence, the average production of Car $P$ is maximum.