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slega [8]
2 years ago
10

Diego wondered how far sixth-grade students could throw a ball. He decided to collect data to find out. He asked 10 friends to t

hrow a ball as far as they could and measured the distance from the starting line to where the ball landed. The table shows the distances he recorded in feet.
40 76 40 63 47 57 49 55 50 53
Find the median and IQR of the data set.
On a later day, he asked the same group of 10 friends to throw a ball again and collected another set of data. The median of the second data set is 49 feet, and the IQR is 6 feet.
Did the 10 friends, as a group, perform better (or throw farther) in the second round compared to the first round? Explain how you know.
Were the distances in the second data set more variable or less variable compared to those in the first round? Explain how you know.
Mathematics
1 answer:
Oksana_A [137]2 years ago
7 0

Answer:

cheeks

Step-by-step explanation:

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from 2 random samples you cant figure it out

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What is the measure of angle x?
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The number of bus riders was recorded on one route. The data have these values: minimum = 18, lower quartile = 22, median = 26,
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Which expression is equivalent to -51 - (-60)?
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3 years ago
let x1,x2, and x3 be linearly independent vectors in R^(n) and let y1=x2+x1; y2=x3+x2; y3=x3+x1. are y1,y2,and y3 linearly indep
Nutka1998 [239]

Answer with Step-by-step explanation:

We are given that

x_1,x_2 and x_3 are linearly independent.

By definition of linear independent there exits three scalar a_1,a_2 and a_3 such that

a_1x_1+a_2x_2+a_3x_3=0

Where a_1=a_2=a_3=0

y_1=x_2+x_1,y_2=x_3+x_2,y_3=x_3+x_1

We have to prove that y_1,y_2 and y_3 are linearly independent.

Let b_1,b_2 and b_3 such that

b_1y_1+b_2y_2+b_3y_3=0

b_1(x_2+x_1)+b_2(x_3+x_2)+b_3(x_3+x_1)=0

b_1x_2+b_1x_1+b_2x_3+b_2x_2+b_3x_3+b_3x_1=0

(b_1+b_3)x_1+(b_2+b_1)x_2+(b_2+b_3)x_3=0

b_1+b_3=0

b_1=-b_3...(1)

b_1+b_2=0

b_1=-b_2..(2)

b_2+b_3=0

b_2=-b_3..(3)

Because x_1,x_2 and x_3 are linearly independent.

From equation (1) and (3)

b_1=b_2...(4)

Adding equation (2) and (4)

2b_1==0

b_1=0

From equation (1) and (2)

b_3=0,b_2=0,b_3=0

Hence, y_1,y_2 and y_3 area linearly independent.

5 0
3 years ago
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