Answer:
{-5,15}
Step-by-step explanation:
because this function is constantly decreasing, we can get our range by looking at the endpoints:
f(-5) = 15
f(5) = -5
Answer:
(a) Mean =243.0909
(b) Median = 240
In other words it is the middle value of the data arranged in order.
(c) Mode = 221 and 257
(d) Mid Range = 247.5
e)
Variance = 1578.5037
Standard Deviation = 39.730
Range = 309-186= 123
(e) No the results are not likely to be representative of all players in that sport's league because they are not similar.
Step-by-step explanation:
First arranging the data in ascending order
186 187 221 221 229 240 257 257 274 293 309
(a) Mean = Sum of observations/ No of observations
= 186 + 187 + 221 +221 + 229 + 240 + 257 + 257 + 274 + 293 + 309 /11
= 2674/11=
= 243.0909
(b) Median for un grouped data is
Here n = 11 and n/2 = 11/2 is not an integer
Median = Results obtained by ([n/2] +1) player
= (11/2 +1) = 6th player in ordered data
= 240
In other words it is the middle value of the data arranged in order.
(c) Mode = Most frequent values.
There are two modes : 221 and 257 . These both values occur repeatedly.
(d) Mid Range = Maximum Value + minimum value/ 2= 186+ 309/2= 247.5
Now we will find the variance and standard deviation
The variance is given by
s² = (186-243.0909)²+ (187-243.0909)²+ (221-243.0909)²+ (221 -243.0909)²+(229-243.0909)²+ (240-243.0909)²+( 257-243.0909)²+ (257 -243.0909)²+ (274-243.0909)²+ ( 293-243.0909)²+ (309 -243.0909)²/11-1
s²= 3259.370 + 3146.139+ 488.008+ 488.008+ 198.553+ 9.554+ 193.463 + 193.463 + 955.372 + 2509.098 + 4344.009/10
s²= 15,785.037/10= 1578.5037
And Standard Deviation = s= √1578.5037= 39.730
Variance = 1578.5037
Standard Deviation = 39.730
Range = 309-186= 123
(e) No the results are not likely to be representative of all players in that sport's league because they are not similar.
Answer:
-2
Step-by-step explanation:
I hope this helps you :)
-KeairaDickson
-4x + 3y = 2
9
B.
18
C.
36
D.
54
Answer:
The LCM of the numbers 3, 6, and 9, is 18.
Step-by-step explanation:
The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.