Statistics on College Students

Statistics should be help with formal science. These are generating well-organized help of algebraic data among the groups of individuals. In statistics, we are learning help on median, mode, mean and range. Measuring of these problems is extremely easy. For this we are using formulas. Now we will see statistics example problems on the college students.

Statistics Examples for College Students

Example 1:

Find the mean, median for the sequence of numbers, 560,247,281,396,185,160,288.

Solution:

The given numbers are 560,247,281,396,185,160,288.

Mean

Mean is the average of the given number. Calculate the total value of the given sequence.

Sum of the given numbers are = 560+247+281+396+185+160+288

= 2117

Total values are divided by 7 (7 is the total numbers) = `(2117)/(7)`

= 302.43

Median

Middle element of the sorting order of given series is a median.

The sorting order series is 160,185,247,281,288,396,560.

The middle element of the sorting sequence is 281.

So the median is 281.

Example 2:

Find the mode value for the following sequence of numbers, 291,358,640,291,305,291.

Solution:

Given series is, 291,358,640,291,305,291.

Mode is the most repeatedly occurring value of the series.

Here, the number ‘291’ should be occurring three times.

So, the mode value is 291.

Example 3:

Find the range value for the following sequence of numbers, 488,150,362,205,117,250.

Solution:

Given series is, 488,150,362,205,117,250.

Subtract the smallest value from the biggest value of the series is said to be range.

Range = 488 - 117

= 371

Standard Deviation Example for College Students

Let see the learning example for standard deviation in statistics on college students.

Example 4:

Find the standard deviation of the following numbers, 30,59,65,27,16,12,33,22.

Solution:

The given numbers are 30,59,65,27,16,12,33,22.

Establish the mean for the given data.

Mean = `(30+59+65+27+16+12+33+22)/(8)`

= `(264)/(8)`

= 33

Construct the table for finding standard deviation.

x	x-33	(x-33)2
30	-3	9
59	26	676
65	32	1024
27	-6	36
16	-17	289
12	-21	441
33	0	0
22	-11	121
Total		2596

Find (x-m)2 / (n-1) = `(2596)/(8-1)`

= `(2596)/(7)`

= 370.86

Formula of the standard deviation = `sqrt((sum_(i=1)^n (x-m)^2) / (n-1))`

= `sqrt(370.86)`

= 19.26

Thus the standard deviation is 19.26.

These are the few statistics example problems that help on college students.

That’s all about the statistics on college students.