Find the sample variance and the standard deviation for the following sample. Round the answers to at least two decimal places as needed. 16 30 20 18 13

Answers

Answer 1

Answer:

The sample variance is 41.8

The standard deviation is 6.465

Explanation:

Given: [tex]\text{n}=5[/tex]

Formulas used:

[tex]\begin{aligned}\text{Sample Mean} \;\left(\text{X} \right )&=\frac{\sum X}{\text{n}}\\\text{Sample Variance}\;\left(\text{S}^2 \right )&=\frac{\sum \left(\text{Xi-X} \right )^2}{\text{n}-1}\\\text{Sample Standard Deviation}&=\sqrt{\text{S}^2}\\\end{aligned}[/tex]

Computation:

[tex]\begin{aligned}\text{Sample Mean} \;\left(\text{X} \right )&=\frac{16+30+20+18+13}{5}\\&=19.4\\\text{Sample Variance}\;\left(\text{S}^2 \right )&=\frac{\left(16-19.4 \right )^2+\left(30-19.4 \right )^2+\left(20-19.4 \right )^2+\left(18-19.4 \right )^2+\left(13-19.4 \right )^2}{5-1}\\&=41.8\\\text{Standard Deviation}&=\sqrt{41.8}\\&=6.465\\\end{aligned}[/tex]


Related Questions

What are the factors that affect selection of a profession? .​

Answers

Answer:

Occupational choice is affected by four factors: psychological, social, economic, and cultural. An individual's job choice is molded by their family, morals, values, intelligence, abilities, finances, and many other factors.

Hope you like it. If yes then please make me the brainliest

Answer:

money

Explanation:

money can affect one in selecting a profession because without money certain profession can't be achieved

Which of the following descriptions corresponds with conservation biology?


a.)

Has the intention of repairing damaged or destroyed ecosystems


b.)

Protection and management of natural resources


c.)

Consideration of both the living and non-living components of an ecosystem


d.)

Has the intention of protecting biodiversity

Answers

your question:

Which of the following descriptions corresponds with conservation biology?

a.) Has the intention of repairing damaged or destroyed ecosystems

b.) Protection and management of natural resources

c.) Consideration of both the living and non-living components of an ecosystem

d.).Has the intention of protecting biodiversity

answer:

D. Has the intention of protecting biodiversity

Other Questions
When Patrick Henry declared "Give me Liberty or give me death, " he was referring to which of the following? A. the Boston Tea Party B. taxation without representation C. the Proclamation of 1763 D. the Intolerable Actsanswer is ....taxation without representation To what extent can the people participate in the governing process of each country? Explain your answers. Korea Paul bought a student discount card for the bus. The card allows him to buy daily bus passes for $1.30. After one month, Paul bought 12 passes and spent a total of $22.60.How much did he spend on the student discount card? Three students use a meterstick with millimeter markings to measure a length of wire. Their measurements are 3 cm, 3.3 cm, and 2.87 cm,respectively. Explain which answer was recorded correctly. Helpppppppppppppppppppp I need help with the perimeterthe measurements of a rectangular tablecloth are 94 cm and 64 cm.how many cm does the perimeter of the tablecloth measure?how many cm of fabric were used to make it? when i visited her she_____bed-ridden for six months.(be) 435 divided by 15 equals what? Help me pleaseeeesndjkdnskxndkdjd Help meee pleaseee I neeed it Does anyone know answers? If b is between a and c, then find the value of x and the measure of bc given the following information AB=3xBC=5xAC=8 7. MANSON'S FAVORITE SINGING GROUP WAS...O THE TEMPTATIONSO THE BEACH BOYSO THE ROLLING STONESO THE BEATLES (please help!)Add 1.25+2.5Plot the first addend and the sum on the number. m is the midpoint . LM = x+9 MN = 4x find the length of LN What is an analogous structure?A. a structure that has the same form butdifferent functions like an arm, fin, and wingB. a structure that has the same function butdifferent forms like the wing of a bee and wing ofa batC. a structure that used to serve a purpose butdoes not have a purpose in modern speciesD. a structure that is similar in all developingembryos pht trin loi hnh du lch sinh thi ln san h bin Nha Trang Which of the following is not considered a natural science?A. chemistryB. psychologyC. biologyD. physicsPlease select the best answer from the choices provided OB .D b. A line with a positive slope slantsand to the right. A line with anegative slope slantsand to the right. Aline has zeroslope. Aline has undefined slope. Pleaseee help what is not an advantages of being an entrepreneur?