Question

Use the distribution below to answer the next 5 questions:

  X                  f   

10                     8

                                                                       9                    6

                                                                       8                    6

                                                                       7                    7

                                                                       6                    1

                                                                     40                    28

1

n=?

40

5

28

237

4

2.

What is the relative frequency associated with X=7?

Group of answer choices

7

8

.25

.32

1

3.

The mean of the distribution is

Group of answer choices

8.464

5.6

1.429

47,4

8

4.  

The median of the distribution is

Group of answer choices

14.5

8

7.5

9

8.5

5.

Which of the following has the largest standard deviation?

Group of answer choices

1 3 5 7 9

11 13 15 17 19

11 11 15 19 19

111 115 115 115 119

1011 1013 1015 1017 1019

Answer 1

X F

10 8
9 6
8 6
7 7
6 1

40 28

1) Ans . 28
Reason: N is the number of observations which is total of frequency which is 28 in our case.

2) Ans.0.25
Reason: Relative Frequency
Relative Frequency is number of times a particular value of x occurs divided by total number of observations.

For x =7 ;
X = 7 occurs for 7 times out of 28
Thus Relative Frequency = 7/28 = 0.25

3) Ans. 8.464
Reason : Mean =

Thus , Mean =

=

=

Mean = 8.464

4) Ans.8.5
Reason : Median is the middle most term of the data .
For Median in such data , find Cumulative frequency ( total of frequency so far)

X Frequency Cumulative Frequency

10 8 8
9 6 14
8 6 20
7 7 27
6 1 28

If n is even ( like 28 in our case) :
Median = mean of n/2th observation and (n+2)/2 th observation

Median = Mean of (28/2)th and ( 28+2)/2 th observation
= Mean of 14th and 15th observation
14th Observation = 9
15Th observation = 8

Median = ( 9+8) / 2
Median = 8.5

Sorry I am legally bound by answering limit.
Please like the answer,Thanks!