The measures of spread include the range, quartiles and the interquartile range, variance and standard deviation. Let's consider each one by one.
<u>Interquartile Range: </u>
Given the Data -> First Quartile = 2, Third Quartile = 5
Interquartile Range = 5 - 2 = 3
<u>Range:</u> 8 - 1 = 7
<u>Variance: </u>
We start by determining the mean,

n = number of numbers in the set
Solving for the sum of squares is a long process, so I will skip over that portion and go right into solving for the variance.

5.3
<u>Standard Deviation</u>
We take the square root of the variance,

2.3
If you are not familiar with variance and standard deviation, just leave it.
Answer:
Part A:
Median value for Brand X = 13
Median value for Brand Y = 16
Part B: Brand Y has a longer battery life
Step-by-step explanation:
Part A:
Median value is depicted on a box plot by the vertical line that divides the rectangular box. Therefore:
Median value for Brand X = 13
Median value for Brand Y = 16
Part B:
Brand Y has a higher median value (16) than Brand X (13).
This implies that brand Y has a battery life that last longer than brand X.
Using Pythagorean theorem, we can justify our answer.
if c^2 = a^2 + b^2 then triangle is right one,
if c^2 > a^2 + b^2 then triangle is obtuse and
if c^2 < a^2 + b^2 then triangle is acute triangle.
Here a=8, b=11 and c=16
Put these values in the equation
16^2 = 8 ^2 + 11^2
256 = 64 +121
256> 185
So here c^2 > a^2 + b^2 Which means triangle is obtuse triangle.
Answer: Obtuse Triangle
Answer:
B) 18.
Step-by-step explanation:
Add them up then divide by the amount of numbers there are.