Tag: uses of average in day-to-day life

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Multiple choice statistics moving averages moving average and variation simple moving average uses of average in day-to-day life introduction to time series introduction to time series and forecasting

A train running at $\dfrac{7}{{11}}$ of its own speed reached a place in 22 hours. How much time could be saved if the train would have run at its own speed ?

  1. 7 hours

  2. 8 hours

  3. 14 hours

  4. 16 hours
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation
Let s be the actual speed of the train and d be the distance that needs to be covered to reach that place.

Here, speed$=\dfrac{Distance}{Time}$

As per question,

The train is running at $\dfrac{7}{11}$ of its own speed and reaches the place in $22$ hrs.

$\therefore d=\dfrac{7}{11}s.22$

$\Rightarrow d=14s$ ………..$(1)$

Let t be the time taken by the train to reach the place with its actual speed.

$\therefore d=st$ ………..$(2)$

from $(1)$ and $(2)$, we get

$14s=st$

$\Rightarrow t=14$ hours

$\therefore$ Time that could be saved$=22-14$

$=8$hrs.
Multiple choice statistics moving averages moving average and variation simple moving average uses of average in day-to-day life introduction to time series introduction to time series and forecasting

The total numbers of squares on a chessboard is

  1. $206$
  2. $205$
  3. $204$
  4. $202$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

From Permutation and Combination,


no. of squares of 1x1 $=1^2$
no. of squares of 2x2 $=2^2$
no. of squares of 3x3$=3^2$
.
.
.
no. of squares of 8x8 $=8^2$

Hence Total number of squares $=1^2+2^2+......+8^2$
 $\implies 204$

Multiple choice statistics moving averages moving average and variation simple moving average uses of average in day-to-day life introduction to time series introduction to time series and forecasting

The average weight of $A,B,C$ is $45kg$ . If the average weight of $A$ and $B$ be $40kg$ and that of $B$ and $C$ be $43kg$, find the weight of $B$ ?

  1. $21kg$
  2. $20kg$
  3. $38kg$
  4. $31kg$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

$\cfrac{A+B+C}{3}=45$ $kg$

$\Rightarrow A+B+C=45\times3=135$ $kg$
$\Rightarrow \cfrac{A+B}{2}=40$ $kg$
$\Rightarrow A+B=80$ $kg$
$\therefore C=135-80=55$ $kg$
$\Rightarrow \cfrac{B+C}{2}=43$ $kg$
$\Rightarrow B+C=86$ $kg$
$\therefore B=86-55=31$ $kg$
$\therefore$ The weight of $B$ is $31$ $kg$.

Multiple choice statistics moving averages moving average and variation simple moving average uses of average in day-to-day life introduction to time series introduction to time series and forecasting

In a call of 100 students there are 70 boys whose average marks in a subject is 75. If the average marks of the complete class is 72 . then the average marks of the girls is 

  1. 73

  2. 65

  3. 68

  4. 74
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation
Total student = 100
For 70 students total marks = 75×7075×70
=5250=5250
Total marks of girls = & 7200-5250$
=1950=1950
Average of girls = 195030195030
=65
Multiple choice statistics moving averages moving average and variation simple moving average uses of average in day-to-day life introduction to time series introduction to time series and forecasting

.Twelve years hence a man will be four times as he was twelve years ago, then his present age is

  1. 20 years

  2. 25 years

  3. 28 years

  4. 30 years
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let his present age be x
According to problem x + 12 = 4 (x - 12)
-3x = - 48 - 12
3x = 60
x = 20 years

Multiple choice statistics moving averages uses of average in day-to-day life moving average and variation simple moving average introduction to time series introduction to time series and forecasting

David obtained 76,65,82,67,and 85 marks(out of 100) in English,Mathematics,Physics,Chemistry and Biology.What are his average marks?

  1. 75

  2. 69

  3. 72

  4. 76
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation
Average is equal to the sum of marks of all the subjects by the total number of subjects.

$\therefore Avg=\dfrac{76+65+82+67+85}{5}=75$
Multiple choice statistics moving averages moving average and variation simple moving average uses of average in day-to-day life introduction to time series introduction to time series and forecasting

Moving-averages:

  1. Give the trend in a straight line

  2. Measure the seasonal variations

  3. Smooth-out the time series

  4. None of them
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

$\Rightarrow$  Moving-averages : $Smooth-out\,the\,time\,series$.

$\Rightarrow$  A moving average  is a widely used indicator in technical analysis that helps smooth out price action by filtering out the “noise” from random price fluctuations.
$\Rightarrow$  It is a trend-following, or lagging, indicator because it is based on past prices.

Multiple choice statistics moving averages uses of average in day-to-day life moving average and variation simple moving average introduction to time series introduction to time series and forecasting

The average weight of 10 men is decreased by 3 kg when one of them whose weight is 80 kg is replaced by a new person. The weight of the new person is

  1. 70

  2. 60

  3. 50

  4. 73
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let weight of $9$ men $=x$.

Weight of new men $=y$

According to the question,
$\dfrac{x+80}{10}-3=\dfrac{x+y}{10}$
$\dfrac{x+80-30}{10}=\dfrac{x+y}{10}$
$x+50=x+y$
$y=50\ kg$

Hence, this is the answer.

Multiple choice statistics moving averages moving average and variation simple moving average uses of average in day-to-day life introduction to time series introduction to time series and forecasting

The problem given below consists  of a question followed by three statements. You have to study the question and the statements and decide which of the statements(s) is / are necessary to answer the question.
How many marks did Tarun secure in English?
(i)The average marks obtained by Tarun in four subjects including English are 60.
(ii) The total marks obtained by him in English and Mathematics together are 170.
(iii)The total marks obtained by him in Mathematics and science together are 180.

  1. I and II only

  2. II and III only

  3. I and III only

  4. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

These statements are not enough to find out his English marks. 
So Ans = D

Multiple choice statistics moving averages moving average and variation simple moving average uses of average in day-to-day life introduction to time series introduction to time series and forecasting

Choose the correct answer from the alternatives given.
A man covers a distance of $160$ km at $64 km/hr$ and next $160$ km at $80 km/hr$. What is his average speed for his whole journey of $320$ km?

  1. $73.00km/h$
  2. $71.11km/h$
  3. $70.50km/h$
  4. $72.25km/h$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Average speed is total distance divided by total time. Total distance is 160 + 160 = 320 km. Time 1 = 160/64 = 2.5 hours. Time 2 = 160/80 = 2 hours. Total time = 4.5 hours. Average speed = 320 / 4.5 = 71.11 km/h.