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A man motors from A to B. A large part o...

A man motors from A to B. A large part of the distace is uphill and he gets a mileage of only 10 miles per gallon of gasoline. ON the return trip, he makes 15 miles per gallon, then the average of his mileage (assuming that the distance from A to B is 60 miles ) is

A

12

B

11

C

10

D

20

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The correct Answer is:
A
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A man walks on a straight road from his home to a market 2.5 km away with a speed of 5 km h^(-1) . Finding the market closed, he instantly turns and walks back home with a speed of 7.5 km h^(-1) . What is the (a) magnitude of average velocity, and (b) average speed of the man over the interval of time (i) 0 to 30 min, (ii) 0 to 50 min, (iii) 0 to 40 min ? [Note: You will appreciate from this exercise why it is better to define average speed as total path length divided by time, and not as magnitude of average velocity. You would not like to tell the tired man on his return home that his average speed was zero !]

AAKASH SERIES-MEASURES OF DISPERSION (STATISTICS)-Practice Exercise
  1. Mean deviation of 39,40,41,41,42,42,43,43,44,44, 45 through median is

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  2. Mean deviation from median of the data 90,100,125,115, 110 is

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  3. The mean deviation from mean of the data 90,100,125,115,110 is

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  4. The standard deviation of 7 scores 1,2,3,4,5,6,7 is

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  5. The standard deviation of 15 items is 6 and each item is decreased by ...

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  6. The standard deviation for the set of the numbers 1,4,5,7,8 is 2.45. I...

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  7. Standard deviation of 5,8,11,9,11 is

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  8. If the standard deviation of x(1),x(2),….,x(n) is 3.5 then the standar...

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  9. If the standard deviation of 0,1,2,3,4,5,6,7,8,9 is K, then the standa...

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  10. The variance of first 20 - natural numbers is

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  11. The variance of 6,8,10,12,14,16,18,20,22,24 is

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  12. Observe the following statements : (A) : 10 is the mean of a set of ...

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  13. A man motors from A to B. A large part of the distace is uphill and he...

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  14. An aeroplane files around a square, the sides of which measure 100 mil...

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  15. The mean of a data set consisting of 20 observation is 40. If one obse...

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  16. Mean of 100 observations is 50 and S.D. is 10. If 5 subtracted from ea...

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  17. Consider the following statements : (i) Mean of 100 observations is ...

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  18. I. The geometric mean of 2,4,16 and 32 is a II. The strength of 7 co...

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  19. If the mean deviation of number 1,1+d,…1+100d from their mean is 255, ...

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  20. The mean of 5 observations is 5 and their variance is 124. If three of...

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