All categories

3 years ago

Find the mean, median, mode, and range for each of the following sets of numbers

Mathematics

1 answer:

Sidana [21]3 years ago

8 0

Answer:

The mean - $45\dfrac{2}{7};$ the median - 35, the mode - 27, the range - 47.

Step-by-step explanation:

Arrange the set of data (31,74,27,58,65,27,35) in ascending order:

27, 27, 31, 35, 58, 65, 74.

The mean is the usual average, so add aal numbers and then divide by the number of numbers:

$\dfrac{27+27+31+35+58+65+74}{7}=\dfrac{317}{7}=45\dfrac{2}{7}.$

The median is the middle value. The middle value in the row 27, 27, 31, 35, 58, 65, 74 is 35.

The mode is the number that is repeated more often than any other, so 27 is the mode.

The largest value in the set is 74, and the smallest is 27, so the range is 74 – 27 = 47.

You might be interested in

3×=18 what the answer to this problem

Luden [163]

Answer:

x=6

Step-by-step explanation:

Divide both sides by 3

7 0

2 years ago

Read 2 more answers

A company makes 100 bags. 32 of the bags have buttons but no zips. 32 of the bags have zips but no buttons. 35 of the bags have

elena-14-01-66 [18.8K]

Answer:

Step-by-step explanation:

6 0

3 years ago

A rain gutter is made from sheets of aluminum that are 16 inches wide by turning up the edges to form right angles. Determine th

blsea [12.9K]

Answer:

Depth of the rain gutter is 8 inches

Step-by-step explanation:

Let’s assume ‘x’ is the depth of the rain gutter

Then the width of the rain gutter can be written as 16 - 2x

Cross sectional area

A = depth x width

Substitute values

A = x*(16 - 2x)

A = 16x – 2x^2

Now according to axis of symmetry for maximum area x = -b/2a

x = -16/2*(-2)

x = 4 inches depth of rain gutter, substitute the value of x to get

Width of rain gutter 16 – 2(4) = 8 inches

Area of the rain gutter for maximum water flow

A = 4 * 8

A = 32 square inch.

8 0

3 years ago

Jenna and her 2 sisters want to take a camping trip. they have $125 saved. each of them will save $24 a week until they have $42

Alexxandr [17]

Answer:

After 4 weeks they have $413

After 5 weeks they have $485 (more than enough money)

Step-by-step explanation:

we know that here are 3 people saving up this money and we know that they have already saved 125 dollars.

if each saves $24 per week... 24*3=72 (total profit per week)

for 4 weeks... 72*4=288

288+125(already saved up)= 413

If they go one more week and save up another 72 dollars in 1 week this will bring them past their goal

7 0

3 years ago

The length of bills backyard swimming pool is 60 feet longer than the width of the pool. The surface area of the water is 1600 s

shutvik [7]

Answer:

The width is 20 ft and the length is 80 ft

Step-by-step explanation:

Area = l * w

l = w +60

SA = 1600 ft^2 ( which is the regular area) The surface area of the water is just what is on top which is length times width

1600 = l*w

Substitute in l = w+60

1600 = (w+60) *w

Distribute the w

1600 = w^2 +60w

Subtract 1600 from each side

1600-1600 = w^2 + 60w -1600

0 = w^2 + 60w -1600

Factor

0=(w-20) (w+80)

Using the zero product property

w-20=0 w+80 =0

w=20 or w=-80

The width cannot be negative so

w=20

Now we need to find the length

l = w+60

l = 60+20

l =80

7 0

2 years ago