Question

In: Statistics and Probability

11 12 11 10 14 15 16 12 11 10 12 20 13 32 35 14...

11

12

11

10

14

15

16

12

11

10

12

20

13

32

35

14

41

12

10

11

12

12

13

16

14

17

18

19

12

13

14

10

10

14

11

10

12

14

12

13

16

14

17

19

20

15

25

15

45

45

44

41

40

14

18

19

24

20

26

36

34

30

31

50

15

12

Find the following:

Mean? (1) Median (2), and Mode?

Find : Q3, Q1, D7, D9, P3, P30, P28, P88, P98

Solutions

Expert Solution

We Find All these Values using Excel Commands

First Put All The Data in a Single column Like in A and Name the Column as 'x'.

and whenever we write Command select all the values in a column 'x'.

So therefore for Mean, Command is "=average(x)"

So therefore we get Mean=19.29

For Median, Command is "=Median(x)"

Median = 14.5

For Mode, Command is "=Mode(x)"

Mode=12

For Q3, The Command is "=Quartile(x,3)"

We get, Q3=20

For Q1, The Command is "=Quartile(x,1)"

We get, Q1= 12

For D7 We can use Percentile command as P70, because there is no command for Deciles.

So therefore, Command is "=Percentile(x,0.7)"

here 0.7 because of 70th percentile which is nothing but 7th Decile i.e. D7

We get, D7=19

For D9, The Command is "=Percentile(x,0.9)"

We get, D9=38

For P3, The Command is "=Percentile(x,0.03)"

0.03 because we want 3rd Percentile.

So therefore, P3=10

For P30, The Command is "=Percentile(x,0.3)"

We get, P30=12

For P28 , "=Percentile(x,0.28)"

We get, P28=12

For P88, "=Percentile(x,0.88)"

We get, P88=35.2

For P98, "=Percentile(x,0.98)"

We get, P98=45


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