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3 years ago

The box plot shows the number of cousins students in Mr. Myer's class have. Which

Mathematics

1 answer:

AnnZ [28]3 years ago

6 0

Answer:

We choose C

The spread from the lower quartile to the median is greater than the spread from the median to the upper quartile.

Step-by-step explanation:

I think your question missed key information, allow me to add in and hope it will fit the orginal one. Because I answered this question once in Brainly

Please have a look at the attached photo

In the photo, we know that:

Median: 7
Upper quartile: 9
Lower quartile: 4
Interquartile range: 9 - 4 = 5
Lower quartile to median: 7 - 4 = 3
Upper quartile to median: 9 - 7 = 2

Let analyse 4 answers:

A. Wrong, Lower quartile to median is more than Uper quartile to median

B. Wrong

C. True

D. Wrong

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Which table represents a direct variation? Table A x 4 6 8 10 y 7 9 11 13 Table B x 4 6 8 10 y 12 18 24 30 Table C x 4 6 8 10 y

Greeley [361]

Answer:

We conclude that 'Table B' represents a direct variation.

Step-by-step explanation:

We know that when y varies directly with x, the equation is

y ∝ x

y = kx

k = y/x

where 'k' is called the constant of proportionality.

Table A

x 4 6 8 10

y 7 9 11 13

Finding k for all the pairs of x and y

k = y/x

k = 7/4, k = 9/6 = 3/2, k = 11 / 8, k = 13/11

As constant of proportionality 'k' does not remain constant.

Hence, table A does not represent a direct variation

Table B

x 4 6 8 10

y 12 18 24 30

Finding k all the pairs of x and y

k = y/x

k = 12/4 = 3, k = 18/6 = 3, k = 24/8 = 3, k = 30/10 = 3

As the constant of proportionality remains constant.

Therefore, the value of k = 3 for all the points in the table.

Hence, table B represents a direct variation.

Table C

x 4 6 8 10

y 1 3 5 7

Finding k all the pairs of x and y

k = y/x

k = 1/4, k = 3/6 = 1/2, k = 5/8, k = 7/10

As the constant of proportionality 'k' does not remain constant.

Hence, table C does not represent a direct variation.

Table D

x 4 6 8 10

y 3 3 3 3

Finding k all the pairs of x and y

k = y/x

k = 3/4, k = 3/6, k = 3/8, k = 3/10

As the constant of proportionality 'k' does not remain constant.

Hence, table D does not a direct variation.

Therefore, we conclude that 'Table B' represents a direct variation.

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