Answer: Mean = 7.8
Median = 9
Mode = 2,9
Step-by-step explanation: <u>Mean</u> is the average value of a data set. Mean from a frequency table is calculated as:

E(X) = 7.8
Mean for the given frequency distribtuion is 7.8.
<u>Median</u> is the central term of a set of numbers. Median in a frequency table is calculated as:
1) Find total number, n:
n = 10 + 9 + 10 + 7 + 3 + 4 + 3 = 46
2) Find position, using: 
= 23.5
Median is in the 23.5th position.
3) Find the position by adding frequencies: for this frequency distribution, 23.5th position is 9
Median for this frequency distribution is 9.
<u>Mode</u> is the number or value associated with the highest frequency.
In this frequency distribution, 2 and 9 points happen 10 times. So, mode is 2 and 9.
Mode for this distribution is 2 and 9.
Answer: 1.7 miles
Step-by-step explanation:
dog is walked four times a week
6 2/3 miles in all
6 2/3 divided by 4 = 1.66666667
1.66666667 rounded to nearest tenth = 1.7
Answer:
A. 821.5 Square Yards
Step-by-step explanation:
30 x 30= 900
900 is the area for the whole park
To find the pool area you need to do pi times Radius squared
so 3.14 x 5 x 5
That equals 78.5 for the pool area.
So to find the grass area you need to subtract the pool area from the park
900 - 78.5 = 821.5 square yards!
Answer:
The base is decreasing at 2 cm/min.
Step-by-step explanation:
The area (A) of a triangle is given by:
(1)
Where:
b: is the base
h: is the altitude = 10 cm
If we take the derivative of equation (1) as a function of time we have:

We can find the base by solving equation (1) for b:

Now, having that dh/dt = 1 cm/min, dA/dt = 2 cm²/min we can find db/dt:

Therefore, the base is decreasing at 2 cm/min.
I hope it helps you!
In the original set of numbers, the median is six
But, if six was added to the set, then the median would be six
So the median wouldn't decrease at all