Question

Data Set: 6 8 10 13 15 18 20 21 27 29 30 35 45 49 52 54 57 58 Define: mean and median.

1. mean 30.4, median 28

2. mean 28.4 , median 28

3. mean 31.4 , median 29

4. mean 30.4 , median 29

5. None of these answers

QUESTION 2

Sample: 45 71 34 88 46
For the given set of numbers, find the mean and the standard deviation.

	1.	mean: 56.8, deviation: 19.75
	2.	mean: 56.7, deviation: 22.82
	3.	mean: 57.6, deviation:21.80
	4.	mean: 56.6, deviation: 22.08
	5.	None of these answers

QUESTION 3

Find the mode(s) for the given sample data.

98, 25, 98, 13, 25, 29, 56, 98

	1.	25
	2.	42.5
	3.	55.3
	4.	98
	5.	None of these answers

QUESTION 4

A class of sixth grade students kept accurate records of the amount of time they spent playing video games during 10 days period. The times ( in hours) are listed below:

23.0     15.5     9.6    24.4    15.2   30.5    24.1    16.6   15.7    14.0

Find the range for the given data.

	1.	20.9
	2.	9.6
	3.	15.2
	4.	7.5
	5.	None of these answers

QUESTION 5

A student took three tests.

Psychology: Her score was 80
On this test the mean score was x =78, and the standard deviation was s = 4.6

Algebra: Her score was 73
On this test the mean score was x =69, and the standard deviation was s = 6.0

History: Her score was 84
On this test the mean score was x =78, and the standard deviation was s = 8.1

Using z scores, find in which class the student got relatively best results.

	1.	Psychology
	2.	Algebra
	3.	History

QUESTION 6

On a multiple-choice test, each question has 5 answers, only one of each is correct. A student makes random guessing on Questions 1, 2 and 3. What is the probability that all three answers are correct?

	1.	1/125
	2.	3/125
	3.	1/15
	4.	3/25
	5.	None of these answers

Answer 1

Answer 1)
mean=30.3888 and median =28
option 1 is correct

Answer 2)
mean=56.8 and standard deviation=22.083

Answer 3)
mode is most frequestly occurring data value here it is 98.

Answer 4)
Range =MAx-Min=30.5-9.6=20.9

Answer 5)
Psychology Z=(X-mean)/sd=(80-78)/4.6=0.43478
Algebra Z=(x-mean/sd=(73-69)/6=0.666
History Z=(x-mean)/sd=(84-78)/8.1=0.7407

relatively best result on History.

Answer 6)
(1/5)*(1/5)*(1/5)=1/125
option 1 is correct

..........................
if you have any doubt ask in comment give thumbs up if you like work.