Mathematics, 13.06.2020 22:57 yariiixox

The data below represents the number of practices each member of Nidhi's ski team attended. 25 , 28 , 29 , 29 , 30 , 34 , 35 , 35 , 37 , 38 25,28,29,29,30,34,35,35,37,3825, comma, 28, comma, 29, comma, 29, comma, 30, comma, 34, comma, 35, comma, 35, comma, 37, comma, 38 Which box plot correctly summarizes the data? Choose 1

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Answer from: starlightmoon213

Answer/Step-by-step Explanation:

=>Note: The data set is repeated in this question. 25 , 28 , 29 , 29 , 30 , 34 , 35 , 35 , 37 , 38, should be the data we're to find a box plot that summarises it. Options showing possible box plots are also omitted. However, we'd construct one that summarises the data.

Given the data set 25 , 28 , 29 , 29 , 30 , 34 , 35 , 35 , 37 , 38, which are ordered already, we need to derive the min, max, median, Q1 and Q3 from the given data set. These are all the values needed to construct a box plot to summarize the data.

Thus:

Min = 25;

Max = 38

Median is the middle value of the data set and it lies between the 5th and the 6th data points. The average of both values would give us our median data point = (30 + 34) ÷ 2 = 32

Our Q1 would be the middle data point of the bottom half of the data set = 29

Q3 would be middle data point of the top half of the data set = 35

(See the diagram 1 for illustration)

Having derived these values, we can now construct a box plot to summarize the given data.

(See diagram 2 for the box plot constructed that summarizes the data given).

The right box plot that summarizes the data should look like the one constructed below in the diagram attached.

The data below represents the number of practices each member of Nidhi's ski team attended. 25 , 28

Answer from: Quest

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.

Answer from: Quest

the required function is $y=-x+4$ .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{4-7}{)}=\frac{-3}{3}=-1$

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

$y=mx+b$

where, m is slope and b is y-intercept.

$y=-1x+4$

$y=-x+4$

therefore the required function is $y=-x+4$ . the graph of this function is shown below.

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