Statistics – level 2

Post on 31-Jul-2015

29 views 3 download

Transcript of Statistics – level 2

Statistics – Level 2

C.S.VEERARAGAVAN

The mid value of the class 27.5 – 37.5 is

32

32.5

33

33.5

04

The mid value of the class 27.5 – 37.5 is

32

32.5

33

33.5

Mid value =

04

The mid value of the class 27.5 – 37.5 is

32

32.5

33

33.5

Mid value =

Mid value =

04

If the mid value of an inclusive class of size 7 is 9, Then the class interval is 5 – 13

6 – 12

8 – 10

None of these

03

If the mid value of an inclusive class of size 7 is 9, Then the class interval is

5 – 13

6 – 12

8 – 10

None of these

Lower limit is 9 – = 9 – 3 = 6

03

If the mid value of an inclusive class of size 7 is 9, Then the class interval is 5 – 13

6 – 12

8 – 10

None of these

Lower limit is 9 – = 9 – 3 = 6Upper limit is 9 + = 9 + 3 = 12

03

The size of the exclusive class interval 24 – 34 is

9

11

10

24

01

The difference between the lower ( or upper) limits of two successive classes is the

Lower bound

Upper bound

Mid value of the class

Size of the class, for a continous distribution

02

The arithmetic mean of the series 2,5,8,11,14

8

6

9

7

05

The arithmetic mean of the series 2,5,8,11,14

8

6

9

7

Mean of A.P =

05

Mean deviation of 8 and 17 is

4

3.5

4.5

5.5

06

Mean deviation of 8 and 17 is

4

3.5

4.5

5.5

Mean deviation =

06

Mode of 3, 1 , 2 , 3 , 2 , 1, x , 3 , 4 , 3, 6

3

2

x

Cannot be determined

07

The upper boundary of an inclusive type class 10 – 14 is

14

10

14.5

9.5

08

The upper boundary of an inclusive type class 10 – 14 is

14

10

14.5

9.5

Boundaries of a class are obtained by Subtracting 0.5 from Lower limit andAdding 0.5 to Upper limit.

08

The range of the values 7, 8, 12, 9, 6, 13, 15, 21, 19, 5 is

15

13

14

16

09

The range of the values 7, 8, 12, 9, 6, 13, 15, 21, 19, 5 is

15

13

14

16

Range = 21 – 5 = 16

09

When a constant ‘c’ is subtracted from every observation of given individual data then the standard deviation of the data is

Increases by c

Decreases by c

Unchanged

Cannot be determined

10

The sum of the deviations about mean of an individual data is equal to

0

its arithmetic mean

its mean deviation

its range

11

The sum of deviations is least when taken about

Mean

Median

Mode

All of the above

12

If the variance of x1, x2,x3…xn is p, then the s.d of

2x1 + 3, 2x2 + 3, …2xn + 3 is

√𝑝2 + 3

2p + 3

2

30

When 10 < x < 15, then the median of the data 6, 18 , 21, 9 , 23, 5 and x is

9

21

x

Cannot be determined

13

The A.M and the sum of observations of individual data is 9 and 108 resp. The no. of observations = ?

12

10

11

5

14

The A.M and the sum of observations of individual data is 9 and 108 resp. The no. of observations = ?

12

10

11

5

A.M =

14

For a symmetric distribution, the mode is 24. The A.M of the distribution is

22

26

24

Cannot be distributed

15

For a moderately symmetric distribution, Mode – Median = ?

Median – Mean

Mode – Mean

3(Median – Mean)

2(Median – mean)

16

For a moderately symmetric distribution, Mode – Median = ?

Median – Mean

Mode – Mean

3(Median – Mean)

2(Median – mean)

For a moderately symmetric distributionMode = 3 median – 2 mean

16

The arithmetic mean of the first n natural numbers isn (n +1 )2

n2n+12n +12n

17

The A.M of the series x1, x2,x3… is then

the A.M of x1 – a , x2 – a , x3 – a , … xn – a is

𝑥– a

– a

a

29

Median of 8, 12, 13, 17 and 19 is

12.5

13

13.5

6.5

18

Median of the data 6, 15, 21, 28, 32 and 40 is24.5

24

21.5

28

19

The median of the first five prime numbers is

11

5

7

2

27

15/04/2023VEERARAGAVAN C S veeraa1729@gmail.com 9894834264

34

The median of five observations is the third observation.

15/04/2023VEERARAGAVAN C S veeraa1729@gmail.com 9894834264

35

The median of five observations is the third observation.The third prime no is 5.

In some individual data consisting of 20 observations, the observation a0 occurs for the greatest number of times. The mode is

a0

a02

2a0

Cannot determine

20

The G.M of the data 1, 3, 12 is

√366

3√363

21

If A, G and H are A.M, G.M & H.M of 2 +ve nos. a and b, then which is true?AG=HA

GH=HA

A√G

= √GA

AG=GH

22

If each observation is increased by 5, then the range of the data

Increases by 5

Decreases by 5

Does not change

May or may not change

23

If the range and the minimum value of the observations are 17 and 88 resp., then the maximum value of the data is

100

105

71

110

24

The first quartile (Q1) of the observations

4, 8, 10, 15, 17, 29 and 32 is

8

16

29

53

25

The first quartile (Q1) of the observations

4, 8, 10, 15, 17, 29 and 32 is

53

29

16

8

If the data is in ascending order, then Q1 = data.

25

The third quartile ( Q3) of the data 16, 21, 23, 25, 29, 32, 46, 48, 51, 53 , 54

51

48

29

53

26

The third quartile ( Q3) of the data 16, 21, 23, 25, 29, 32, 46, 48, 51, 53 , 54

51

48

29

53

26

The third quartile is the is data = 9th data