SAMPLING

Sampling, Sampling Distributions and Central Limit Theorem

Sampling, Sampling Distributions and Central Limit Theorem

Assignment 3a

Statistics

VAR00001

N

Valid

50

Missing

0

Mean

1.3400

Std. Error of Mean

.06767

Median

1.0000

Std. Deviation

.47852

Variance

.229

Range

1.00

Minimum

1.00

Maximum

2.00

From the above table, it can be noted that the mean and standard deviation are the important values which indicates that the mean value is 1.3 that is most of the respondents marked "yes". In addition to this, it is also found that the standard deviation of the table is 0.47 which reflects that there is too much deviation in the data. Moreover, the standard error is 0.067, which shows that there is slight amount of error in the data. In this context, as it is known that the standard error is a measure of the precision of the sample mean calculated. The standard error is obtained by dividing the standard deviation by the square root of the sample size. When a sample of any size n is calculated as the arithmetic mean of the population; probably, a new random sample is performed, the arithmetic average obtained is different from that of the first sample. The variability of the mean is estimated by its standard error. Thus, the standard error evaluates the accuracy of the calculation of the average population. Keeping this in view, it can be said that the standard error in the polls is not too high.

VAR00001

Frequency

Percent

Valid Percent

Cumulative Percent

Valid

yes

33

66.0

66.0

66.0

no

17

34.0

34.0

100.0

Total

50

100.0

100.0

The given frequency table shows that the most of the respondents marked yes in the sample; the reason of this statement is that 66% of the respondents marked yes, while on the contrary, only 34% of the respondents marked no. For that reason, it can be said that the majority of the participants of sample marked yes.

From the above graphical representation, it is reflected that the data pertaining to number of poll is not normally distributed, as the data is not bell shaped.

Statistics

VAR00002

N

Valid

30

Missing

20

Mean

1.4333

Std. Error of Mean

.09202

Median

1.0000

Std. Deviation

.50401

Variance

.254

Range

1.00

Minimum

1.00

Maximum

2.00

From the given table, it is observed that the standard deviation and mean are the crucial to study as they provide important aspects of the data. In relation to this, the mean value is 1.4 that is most of the respondents marked "yes". Moreover, it is noted that the standard deviation of the table is 0.504 which indicates that there is too much deviation in the data. In addition to this, the standard error is 0.092, which reflects that there is high amount of error in the data. Keeping this in view, it can be said that the standard error in the polls is not too high.

VAR00002

Frequency

Percent

Valid Percent

Cumulative Percent

Valid

yes

17

34.0

56.7

56.7

no

13

26.0

43.3

100.0

Total

30

60.0

100.0

The above frequency table presents that the majority of the participants marked yes in the sample; the basis of the statement is that 34% of the participants marked yes, on the other hand, only 26% of the respondents marked no. Keeping this in view, it is found that the most of the respondents of sample marked yes.

In addition to this, the given graph shows that the data relates to number of poll; it is found that the data is normally distributed, which is reflected by the bell shape of the ...