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2 years ago

Find the standard deviation for the set of data. (17,26,28,9,30, 29,6,21,23}

Mathematics

1 answer:

gogolik [260]2 years ago

7 0

Using it's concept, the standard deviation for the given data-set is of 8.22.

<h3>What are the mean and the standard deviation of a data-set?</h3>

The mean of a data-set is given by the sum of all values in the data-set, divided by the number of values.

The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, divided by the number of values.

The mean for this problem is:

M = (17 + 26 + 28 + 9 + 30 + 29 + 6 + 21 + 23)/9 = 21

Hence the standard deviation is:

$S = \sqrt{\frac{(17-21)^2 + (26-21)^2 + (28-21)^2 + \cdots + (21-21)^2 + (23-21)^2}{9}} = 8.22$

More can be learned about the standard deviation of a data-set at brainly.com/question/12180602

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What is the volume of a cone that has a height of 7 mm and a radius of 3 mm? Use 3.14 to approximate pi and round the answer to

Anna [14]

Volume=1/3 times area of base (circle) times height

circle=3.14 times radius^2
circle=3^2 times 3.14
circle=9 times 3.14=28.26
times height (7)
197.82
times 1/3=65.94
answer is 65.94 mm^3

3 0

3 years ago

Find Sn for the arithmetic series 5+7+9 + … and determine the value of n for which the series has sum 165.

SVETLANKA909090 [29]

Answer:

see explanation

Step-by-step explanation:

the sum to n terms of an arithmetic sequence is

$S_{n}$ = $\frac{n}{2}$ [2a + (n - 1)d ]

where d is the common difference and a is the first term

here d = 9 - 7 = 7 - 5 = 2 and a = 5, hence

$S_{n}$ = $\frac{n}{2}$ [(2 × 5) + 2(n - 1) ]

= $\frac{n}{2}$ (10 + 2n - 2)

= $\frac{n}{2}$ (2n + 8)

= n² + 4n

When sum = 165, then

n² + 4n = 165 ← rearrange into standard form

n² + 4n - 165 = 0 ← in standard form

(n + 15)(n - 11) = 0 ← in factored form

equate each factor to zero and solve for n

n + 15 = 0 ⇒ n = - 15

n - 11 = 0 ⇒ n = 11

but n > 0 ⇒ n = 11

4 0

3 years ago

Do anyone know the answer

Vlada [557]

Answer:

Step-by-step explanation:

Domain the "input" to the function, range is the "output" of the function.

6 0

2 years ago

Read 2 more answers

A golfer hits an errant tee shot that lands in the rough. A marker in the center of the fairway is 150 yards from the center of

Gwar [14]

$\bold{\huge{\underline{ Solution}}}$

<h3>Given :-</h3>

A marker in the center of the fairway is 150 yards away from the centre of the green
While standing on the marker and facing the green, the golfer turns 100° towards his ball
Then he peces off 30 yards to his ball