Answer:
Mean=1.4
Median=1
Mode=0
Step-by-step explanation:
We will make the frequency table based on our data as:
Number of Pets Frequency
0 15
1 10
2 6
3 4
4 3
5 2
Hence, the mean of the data is calculated as the ratio of sum of all the data point to the number of data points.
Hence,
Hence, Mean=1.4
Now the median is calculated as cumulative frequency.
Number of Pets Frequency
0 15 15
1 10 15+10=25
2 6 25+6=31
3 4 31+4=35
4 3 35+3=38
5 2 38+2=40
i.e. N=40
N/2=40/2=20
Hence, the value that lies in this range is: 25
Hence, Median=1
Also mode is the value corresponding to highest frequency.
Hence, Mode=0
Answer:
Mean = 2.95
Median = 3
Step-by-step explanation:
The mean of the number of visits of 40 adults to the gym is
The median of the data is the average number between 20th and 21th terms (because 40 is even number, so the middle term is the average between two middle terms).
20th term = 3 visits
21th term = 3 visits
Hence, median is 3 visits
Question 1:
I'm actually not sure which term you ment exactly, so I calculated the solution for three possible variations of your term, depending on how one sets the brackets.
To calculate an ordered pay just set x or y to some value, insert it into the equation and you get the solution for the other variable.
In these calculations I always picked x so values would get eliminated or as close to 0 as possible to make it easier.
variation 1 of term:
y=(5^4)*(x-3)
insert x=3
y=(5^4)*(3-3)==(5^4)*0=0
pair: (3,0)
variation 2 of term:
y=(5^4)*x-3
insert x=0:
y=(5^4)*0-3=0-3=-3
pair: (0,-3)
variation 3 of term:
y=5^(4*x-3)
insert x=1:
y=5^(4*1-3)=5^1=5
pair: (1,5)
question 2:
2y=-5x-4
just insert the pairs as (x,y) into the equation:
a. (-2,3)
2*3=-5*-2-4
6=10-4 yes
b. (1,-4)
2*-4=-5*1-4
-8=-9 no
c. (0,2)
2*2=-5*0-4
4=-4 no
d. (-1,1)
2*1=-5*-1-4
2=5-4 no
Okay so the correct one would be, the 2 one, 44+y= x because X is representing how many cups she can serve.