Distribution 6399

For the statistical file:

2.3; 3.4; 1.8; 3.2; 3.2; 1.9; 3.3; 4.5; 4.3; 5.0; 4.8; 4.3; 4.3; 1.9

Determine the sample variance and the median, and from the empirical distribution function, determine P (2.1 <ξ <3.5).

Correct answer:

r =  1.1782
m =  3.35
P =  0.413

Step-by-step explanation:

2.3; 3.4; 1.8; 3.2; 3.2; 1.9; 3.3; 4.5; 4.3; 5.0; 4.8; 4.3; 4.3; 1.9 n=14 x=(2.3+3.4+1.8+3.2+3.2+1.9+3.3+4.5+4.3+5.0+4.8+4.3+4.3+1.9)/n=(2.3+3.4+1.8+3.2+3.2+1.9+3.3+4.5+4.3+5.0+4.8+4.3+4.3+1.9)/14=70241​=37031​≐3.4429  r=((2.3−x)2+(3.4−x)2+(1.8−x)2+(3.2−x)2+(3.2−x)2+(1.9−x)2+(3.3−x)2+(4.5−x)2+(4.3−x)2+(5.0−x)2+(4.8−x)2+(4.3−x)2+(4.3−x)2+(1.9−x)2)/n=((2.3−3.4429)2+(3.4−3.4429)2+(1.8−3.4429)2+(3.2−3.4429)2+(3.2−3.4429)2+(1.9−3.4429)2+(3.3−3.4429)2+(4.5−3.4429)2+(4.3−3.4429)2+(5.0−3.4429)2+(4.8−3.4429)2+(4.3−3.4429)2+(4.3−3.4429)2+(1.9−3.4429)2)/14=1.1782
1.8, 1.9, 1.9, 2.3, 3.2, 3.2, 3.3, 3.4, 4.3, 4.3, 4.3, 4.5, 4.8, 5. m=(3.3+3.4)/2=3.35
s=r​=1.1782​≐1.0854  P1​=0.108 P2​=0.521 P=P2​−P1​=0.521−0.108=0.413

Try another example


Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Looking for help with calculating arithmetic mean?
Looking for a statistical calculator?
Looking for a standard deviation calculator?
Would you like to compute the count of combinations?

You need to know the following knowledge to solve this word math problem:

Grade of the word problem:


 
We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions: