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katrin2010 [14]
3 years ago
7

Find the mean, median, mode and range. Round the mean to the nearest tenth.

Mathematics
1 answer:
Temka [501]3 years ago
4 0

Answer:

The Mean is 17.5

The median is 19

The mode is 19

The range is 22

Step-by-step explanation:

The mean is the average where you add all the numbers and then divide the sum by the number of them

The median is the middle value in the list of numbers arranged from smallest to greatest

The mode is the most repeated number

The range is the difference between the greatest and the smallest numbers

From the figure the numbers are:

6, 10, 10 , 11, 11, 13, 18, 19, 19, 19, 20, 20, 21, 23, 23, 27, 28

- Find their sum

∵ Their sum = 298

∵ They are 17 numbers

∵ Mean = sum ÷ number

∴ Mean = 298 ÷ 17 = 17.529411

- Round it to the nearest tenth

∴ Mean = 17.5

∵ The median is the middle number

- The middle of 17 numbers is 9th number because (17+1) ÷ 2 = 9,

    that means before it 8 numbers and after it 8 numbers

∵ The value of the 9th number is 19

∴ Median = 19

∵ The mode is the most repeated number

∵ 19 is repeated 3 times

∵ No other number repeated more than 3 times

∴ Mode = 19

∵ The smallest number = 6

∵ The greatest number = 28

∵ Range = greatest number - smallest number

∴ Range = 28 - 6

∴ Range = 22

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Two numbers that have a sum of 100 and a diffrence of 6
Genrish500 [490]

Answer:

50 + 50 = 100 bus the difference is 0

(50 + 3) + (50 - 3) = 100 and the difference is 6

53 and 47 are the numbers

other way

I. x + y = 100

II. x - y = 6

I + II 2x = 106 --> x = 53

53 + y = 100 --> y = 47

3 0
3 years ago
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A shirt is regularly priced an $32. It is on sale for 45% off. What is the sale price of the shirt
ValentinkaMS [17]

45% of 32 is 14.4.

32 - 14.4 = 17.6.

The sale price of the shirt is $17.60.

⭐ Please consider brainliest! ⭐

✉️ If any further questions, inbox me! ✉️

3 0
3 years ago
a particular city had a population of 24,000 in 1900 and a population of 29,000 in 1920. Assuming that its population continues
DerKrebs [107]

Answer:

It will have a population of 61,779 in 2000.

Step-by-step explanation:

The population for the city, in t years after 1900, can be modeled by a exponential function with constant growth rate in the following format:

P(t) = P(0)(1+r)^{t}

In which P(0) is the population in 1900 and r is the growth rate.

Population of 24,000 in 1900

This means that P(0) = 24000

Population of 29,000 in 1920.

1920 is 1920 - 1900 = 20 years after 1900.

This means that P(20) = 29000. So

P(t) = P(0)(1+r)^{t}

29000 = 24000(1+r)^{20}

(1+r)^{20} = \frac{29000}{24000}

\sqrt[20]{(1+r)^{20}} = \sqrt[20]{\frac{29000}{24000}}

1 + r = 1.0095

So

P(t) = P(0)(1+r)^{t}

P(t) = 24000(1.0095)^{t}

What population will it have in 2000

2000 is 2000 - 1900 = 100 years after 1900. So this is P(100).

P(t) = 24000(1.0095)^{t}

P(100) = 24000(1.0095)^{100} = 61779

It will have a population of 61,779 in 2000.

4 0
3 years ago
The graph of the function f(x) is shown.
Elza [17]

Answer:

x = 2

x = -1.5

Step-by-step explanation:

The graph is of function f(x) = x²

Therefore, to find where the function intersects with y = 0.5x + 3,

equal the functions and solve for x:

⇒ x² = 0.5x + 3

⇒ x² - 0.5x - 3 = 0

Multiply both sides by 2:

⇒ 2x² - x - 6 = 0

Factor:

⇒ 2x² - 4x + 3x - 6 = 0

⇒ 2x(x - 2) + 3(x - 2) = 0

⇒ (x - 2)(2x + 3) = 0

Therefore:

(x - 2) = 0  ⇒  x = 2

(2x + 3) = 0  ⇒  x = -1.5

8 0
2 years ago
Move a symbol to each box to compare the fractions.<br> 5/6 10/12<br> 12/100 10/12<br> &lt;&gt;=
Eva8 [605]

Answer:

See below ~

Step-by-step explanation:

<u>Question 1</u>

5/6 _ 10/12

  • Take LCM as 12
  • 5/6 x 2/2 _ 10/12
  • 10/12 _ 10/12
  • <u>10/12 = 10/12</u>

<u></u>

<u>Question 2</u>

12/100 _ 10/12

  • Simplify both sides
  • 3/25 = 5/6
  • Take LCM as 150
  • 3/25 x 6/6 = 5/6 x 25/25
  • 18/150 _ 125/150
  • 125 is greater than 18
  • <u>12/100 < 10/12</u>
7 0
2 years ago
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