Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

The table above shows two lists of numbers. Which of the following is a true statement comparing list A and list B?

The means are the same, and the standard deviations are different.
The means are the same, and the standard deviations are the same.
The means are different, and the standard deviations are different.
The means are different, and the standard deviations are the same.

hint Hint:

Hint:

Mean of any n data is ratio of sum of all n data to number of data

Standard deviation of n data is $square root of fraction numerator vertical line x minus mean invisible function application vertical line squared over denominator n end fraction end root$

The correct answer is: The means are the same, and the standard deviations are different.

Explanation:

We have given two set of data in table form.

We have to find their means and standard deviation and compare them

Step 1 of 1:
The given data in table form is

Now, For List A,
First calculate mean
So,
Mean = $fraction numerator 1 plus 2 plus 3 plus 4 plus 5 plus 6 over denominator 6 end fraction$
$equals 21 over 6$
= 3.5
And standard deviation will be $square root of fraction numerator vertical line x minus mean invisible function application vertical line squared over denominator n end fraction end root$
So,
$equals square root of fraction numerator vertical line 1 minus 3.5 vertical line squared plus vertical line 2 minus 3.5 vertical line squared plus vertical line 3 minus 3.5 vertical line squared plus vertical line 4 minus 3.5 vertical line squared plus vertical line 5 minus 3.5 vertical line squared plus vertical line 6 minus 3.5 vertical line squared over denominator 6 end fraction end root$
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell equals square root of 2.917 end root end cell row cell equals 1.71 end cell end table$
Now, For List B
$text Mean end text equals fraction numerator 2 plus 3 plus 3 plus 4 plus 4 plus 5 over denominator 6 end fraction$
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell equals 21 over 6 end cell row cell equals 3.5 end cell end table$
And standard deviation will be
$equals square root of fraction numerator vertical line 2 minus 3.5 vertical line squared plus vertical line 3 minus 3.5 vertical line squared plus vertical line 3 minus 3.5 vertical line squared plus vertical line 4 minus 3.5 vertical line squared plus vertical line 4 minus 3.5 vertical line squared plus vertical line 5 minus 3.5 vertical line squared over denominator 6 end fraction end root$
$equals square root of 0.917 end root$
= 0.96
Thus, List A and List B have the same mean but different standard deviation.
Hence, Option A is correct.

Related Questions to study

Check if the number is rational or irrational for 83.396668…

Check if the number is rational or irrational for 83.396668…

Check if the number is rational or irrational for $straight capital phi$ ( Golden ratio)

Check if the number is rational or irrational for $straight capital phi$ ( Golden ratio)

$f left parenthesis x right parenthesis equals fraction numerator x plus 3 over denominator 2 end fraction$
For the function f defined above, what is the value of f(-1)?

$f left parenthesis x right parenthesis equals fraction numerator x plus 3 over denominator 2 end fraction$
For the function f defined above, what is the value of f(-1)?

parallel

If , $20 minus x equals 15$ what is the value of 3x ?

If , $20 minus x equals 15$ what is the value of 3x ?

Check if the number is rational or irrational for 89.402106106106106……..

Check if the number is rational or irrational for 89.402106106106106……..

Find the equivalent fraction for the following decimal number 0.57894736842 and say whether it is a rational number or an irrational number?

Find the equivalent fraction for the following decimal number 0.57894736842 and say whether it is a rational number or an irrational number?

parallel

$text If end text u plus t equals 5 text and end text u minus t equals 2$ what is the value of $left parenthesis u minus t right parenthesis open parentheses u squared minus t squared close parentheses ?$

$text If end text u plus t equals 5 text and end text u minus t equals 2$ what is the value of $left parenthesis u minus t right parenthesis open parentheses u squared minus t squared close parentheses ?$

Jake buys a bag of popcorn at a movie theater. He eats half of the popcorn during the 15 minutes of previews. After eating half of the popcorn, he stops eating for the next 30 minutes. Then he gradually eats the popcorn until he accidentally spills all of the remaining popcorn. Which of the following graphs could represent the situation?

Jake buys a bag of popcorn at a movie theater. He eats half of the popcorn during the 15 minutes of previews. After eating half of the popcorn, he stops eating for the next 30 minutes. Then he gradually eats the popcorn until he accidentally spills all of the remaining popcorn. Which of the following graphs could represent the situation?

A text messaging plan charges a flat fee of $straight $ 5$ per month for up to 100 text messages sent plus $straight $ 0.25$ for each additional text message sent that month. Which of the following graphs represents the cost, y , of sending texts in a month?

A text messaging plan charges a flat fee of $straight $ 5$ per month for up to 100 text messages sent plus $straight $ 0.25$ for each additional text message sent that month. Which of the following graphs represents the cost, y , of sending texts in a month?

parallel

Explain whether the following are rational or irrational and justify it.
e (Euler’s number = 2.7182818284590452353602874713527)

Explain whether the following are rational or irrational and justify it.
e (Euler’s number = 2.7182818284590452353602874713527)

Explain whether the following are rational or irrational and justify it.
$stack pi with _ below left parenthesis 3.1415926535897932384626433832795 right parenthesis with _ below$

Explain whether the following are rational or irrational and justify it.
$stack pi with _ below left parenthesis 3.1415926535897932384626433832795 right parenthesis with _ below$

$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 2 x plus 3 y equals 1200 end cell row cell 3 x plus 2 y equals 1300 end cell end table$
Based on the system of equations above, what is the value of 5x 5y?

$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 2 x plus 3 y equals 1200 end cell row cell 3 x plus 2 y equals 1300 end cell end table$
Based on the system of equations above, what is the value of 5x 5y?

parallel

A helicopter, initially hovering 40 feet above the ground, begins to gain altitude at a rate of 21 feet per second. Which of the following functions represents the helicopter's altitude above the ground y , in feet, t seconds after the helicopter begins to gain altitude?

A helicopter, initially hovering 40 feet above the ground, begins to gain altitude at a rate of 21 feet per second. Which of the following functions represents the helicopter's altitude above the ground y , in feet, t seconds after the helicopter begins to gain altitude?

Juan purchased an antique that had a value of $straight $ 200$ at the time of purchase. Each year, the value of the antique is estimated to increase $10 straight percent sign$ over its value the previous year. The estimated value of the antique, in dollars, 2 years after purchase can be represented by the expression 200a,where a is a constant what is the value of a?

Juan purchased an antique that had a value of $straight $ 200$ at the time of purchase. Each year, the value of the antique is estimated to increase $10 straight percent sign$ over its value the previous year. The estimated value of the antique, in dollars, 2 years after purchase can be represented by the expression 200a,where a is a constant what is the value of a?

$vertical line 2 x plus 1 vertical line equals 5$
If and are the solutions to the equation above, what is the value of.

$vertical line 2 x plus 1 vertical line equals 5$
If and are the solutions to the equation above, what is the value of.

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.