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zavuch27 [327]
2 years ago
10

What is the interquartile range of 45,60,40,90,60,50,75,120,90

Mathematics
1 answer:
puteri [66]2 years ago
5 0
IQR = 40

1) Put the numbers in order: 40, 45, 50, 60, 60, 75, 90, 90, 120
2) Find the median: Median is 60 (the 2nd one)
3) Place parentheses around the numbers above and below the median. For easy identification of Q1 and Q3. (40, 45, 50, 60,) 60, (75, 90, 90, 120)
4) Find the Q1 and Q3. Q1 = median of the lower half of the data; Q3 = median of the higher half of the data. Q1 and Q3 have even sets so its median cannot be defined.
5) Had both sets contain odd sets, the median of Q1 is subtracted from the median of Q3 to get the IQR.

We can then use the Alternative definition of IQR.
IQR is the difference between the largest and smallest values in the middle 50% of a set data.

40, 45, 50, 60, 60, 75, 90, 90, 120

Middle 50% is 50, 60, 60, 75, 90; IQR = Largest value - smallest value;

IQR = 90 - 50 = 40



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Fiesta28 [93]
A.) 135 miles in 3 hours = 45 miles per hr

B.) 22 miles in 1 hour= 22 miles per hr

C.) 7.5 miles in 1/4 hour = 30 miles per hr

D.) 100/3 in 2/3 hour = About 49.9 mph

E.) 97.5 in 1.5 hours = 65 miles per hr
4 0
2 years ago
The function f(x) varies directly with x and f(x)=12 when x=8
malfutka [58]
F(x) = kx
12 = 8k
k = 12/8 = 3/2

Required equation is f(x) = 3/2 x
4 0
3 years ago
1. What is the slope intercept form for -3, and (4,2) SIMPLIFIED??
Ostrovityanka [42]

Answer:

Step-by-step explanation:

1. y - 2 = -3(x - 4)

  y - 2 = -3x + 12

  y = -3x + 14

2. y - 6 = -1/2(x + 5)

   y - 6 = -1/2x - 5/2

   y - 12/2= -1/2x - 5/2

   y = -1/2x + 7/2

4 0
2 years ago
If (ax+2)(bx+7)=15x2+cx+14 for all values of x, and a+b=8, what are the 2 possible values fo c
dolphi86 [110]

Given:

(ax+2)(bx+7)=15x^2+cx+14

And

a+b=8

Required:

To find the two possible values of c.

Explanation:

Consider

\begin{gathered} (ax+2)(bx+7)=15x^2+cx+14 \\ abx^2+7ax+2bx+14=15x^2+cx+14 \end{gathered}

So

\begin{gathered} ab=15-----(1) \\ 7a+2b=c \end{gathered}

And also given

a+b=8---(2)

Now from (1) and (2), we get

\begin{gathered} a+\frac{15}{a}=8 \\  \\ a^2+15=8a \\  \\ a^2-8a+15=0 \end{gathered}a=3,5

Now put a in (1) we get

\begin{gathered} (3)b=15 \\ b=\frac{15}{3} \\ b=5 \\ OR \\ b=\frac{15}{5} \\ b=3 \end{gathered}

We can interpret that either of a or b are equal to 3 or 5.

When a=3 and b=5, we have

\begin{gathered} c=7(3)+2(5) \\ =21+10 \\ =31 \end{gathered}

When a=5 and b=3, we have

\begin{gathered} c=7(5)+2(3) \\ =35+6 \\ =41 \end{gathered}

Final Answer:

The option D is correct.

31 and 41

8 0
1 year ago
Your favorite Flip Flops are on sale, 2 for $3.00. The shipping is a flat rate of $5.00 no matter how many Flip Flops you buy. F
andriy [413]

Answer:

2 for $3  $3x23=69 then add shipping which equals $74 you can buy  46 pairs.

Step-by-step explanation:

3 0
3 years ago
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