Mathematics, 07.03.2021 14:00 mujithkalhan2762

The table shows the mean monthly temperatures in Alcudia for the last 2 years in degrees Celsius. °C Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
Last Year 9 10 11 14 19 22 27 29 21 18 11 6
2 Years Ago 7 11 10 13 17 23 25 25 20 18 12 9

What is the difference in the range of temperature between the two years?

°C

What was the modal temperature last year?
°C

What was the median temperature 2 years ago?
°C

Answers: 2

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Answers

Answer from: amariciara05

(a) The difference is 5

(b) No mode

Step-by-step explanation:

Given

The above data

Solving (a): Difference in their range

Range is calculated as:

Range = Highest - Lowest

For last year:

R_1 = 29 - 6 = 23

For 2 years ago

R_2 = 25 - 7 =18

The difference is:

R = R_1 - R_2 = 23 - 18

R = 5

Solving (b): The modal of last year

This is the entry with the highest frequency

From "last year" data, each of the entry has a frequency of 1.

This implies that there is no mode

Solving (c): Median of last 2 years

First, arrange in ascending order

Sorted: 7, 9,10, 11 ,12,13 ,17,18,20 ,23 ,25 ,25

The median is then calculated as:

$Median = \frac{n+1}{2}th$

$Median = \frac{12+1}{2}th$

$Median = \frac{13}{2}th$

Median = 6.5th

This means that we calculate the average of the 6th and 7th entry

$Median = \frac{1}{2} * (13 + 17)$

$Median = \frac{1}{2} * 30$

Median =15

Answer from: Quest

the speed is $135$ miles per hour > is false

step-by-step explanation:

we know that

a relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

in a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

the graph shown in the figure represent a direct variation

the slope of the line represent the speed

$y/x=k$

for the point $(1.5,90)$

substitute the values of x and y

$k=90/1.5=60\ miles/hour$

the linear equation is equal to

$y=60x$

statements

case a) it takes $2$ hours to go $120$ miles

the statement is true

because

substitute

for $x=2$

find the value of y in the linear equation

$y=60(2)=120\ miles$ > is correct

case b) the speed is $135$ miles per hour

the statement is false

because the speed is $60\ miles/hour$

case c) the unit rate for the trip is $60\ miles/hour$

the statement is true

because the speed is equal to the slope of the linear equation

case d) it took $20$ minutes to go the first $20$ miles

the statement is true

because

substitute

for $x=20\ minutes=(1/3)\ hour$

find the value of y in the linear equation

$y=60(1/3)=20\ miles$ > is correct

Answer from: Quest

school a:

minimum value is 2

maximum value is 22

the lower quartile is 2.5

the median is 10

the upper quartile is 15.5

school b:

minimum value is 9

maximum value is 20

the lower quartile is 12

the median is 16

the upper quartile is 18

box plot for school a isn't symmetrical. the data tails on the right

box plot for school b isn't symmetrical. the data tails on the left

hope i

-lavira: )

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