1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
algol [13]
3 years ago
14

Mr. Green teaches mathematics and his class recently finished a unit on statistics. The student scores on this unit are: 40 47 5

0 50 50 54 56 56 60 60 62 62 62 63 65 70 70 72 76 77 80 85 85 95 Perform a statistical analysis on this data set. a) Find the measures of central tendency and the range of the data.
Mathematics
1 answer:
Harrizon [31]3 years ago
5 0

Answer:

Mean = 64.46, Median = 62 and Mode = Bi-modal (50 and 62)

Range of the data is 55.

Step-by-step explanation:

We are given that Mr. Green teaches mathematics and his class recently finished a unit on statistics.

<u>The student scores on this unit are:</u>  40, 47, 50, 50, 50, 54, 56, 56, 60, 60, 62, 62, 62, 63, 65, 70, 70, 72, 76, 77, 80, 85, 85, 95.

We know that Measures of Central Tendency are: Mean, Median and Mode.

  • Mean is calculated as;

                   Mean  =  \frac{\sum X}{n}

where  \sum X = Sum of all values in the data

               n = Number of observations = 24

So, Mean  =  \frac{40+ 47+ 50+ 50+ 50+ 54+ 56+ 56+ 60 +60+ 62+ 62+ 62+ 63+ 65+ 70+ 70+ 72+ 76+ 77+ 80+ 85+ 85+ 95}{24}

=  \frac{1547}{24}  =  64.46

So, mean of data si 64.46.

For calculating Median, we have to observe that the number of observations (n) is even or odd, i.e.;

  • If n is odd, then the formula for calculating median is given by;

                     Median  =  (\frac{n+1}{2})^{th} \text{ obs.}

  • If n is even, then the formula for calculating median is given by;

                     Median  =  \frac{(\frac{n}{2})^{th}\text{ obs.} +(\frac{n}{2}+1)^{th}\text{ obs.}   }{2}

Now here in our data, the number of observations is even, i.e. n = 24.

So, Median  =  \frac{(\frac{n}{2})^{th}\text{ obs.} +(\frac{n}{2}+1)^{th}\text{ obs.}   }{2}

                    =  \frac{(\frac{24}{2})^{th}\text{ obs.} +(\frac{24}{2}+1)^{th}\text{ obs.}   }{2}

                    =  \frac{(12)^{th}\text{ obs.} +(13)^{th}\text{ obs.}   }{2}

                    =  \frac{62 + 62  }{2}  =  \frac{124}{2}  =  62

Hence, the median of the data is 62.

  • A Mode is a value that appears maximum number of times in our data.

In our data, there are two values which appear maximum number of times, i.e. 50 and 62 as these both appear maximum 3 times in the data.

This means our data is Bi-modal with 50 and 62.

  • The Range is calculated as the difference between the highest and lowest value in the data.

                      Range  =  Highest value - Lowest value

                                   =  95 - 40 = 55

Hence, range of the data is 55.

You might be interested in
Mid Topic 6 Assessment
sergey [27]
4(8x + 56) = 20
= 32x + 224 = 20

4 0
3 years ago
What is the equation of the horizontal asymptote? f(x)=4(52)x+7<br> y=?
natta225 [31]

ANSWER

y=7

EXPLANATION

The horizontal asymptote of an exponential function

f(x)= a {(b)}^{x}  + c

is y=c.

The given exponential function is

f(x)= 4 {(52)}^{x}  + 7

When we compare to

f(x)= a {(b)}^{x}  + c

c=7, therefore the horizontal asymptote is y=7.

4 0
3 years ago
The graph of a line has a slope of -3 and passes through the point (-6,-4).
prohojiy [21]

Answer:

(A) y+4=-3(x+6)

Step-by-step explanation:

The point-slope form of the equation of a line whose slope is m and passes through the point (x_1, y_1) is: y-y_1=m(x-x_1)

Given the point: (x_1, y_1)=(-6,-4)

Slope, m=-3

x_1=-6\\y_1=-4

Substituting these values into:  y-y_1=m(x-x_1), we obtain the point slope form of the equation:

y-(-4)=-3(x-(-6))\\\\y+4=-3(x+6)

The correct option is A.

6 0
3 years ago
Derek has $20 to spend on used
goldfiish [28.3K]
5x+2y = 20

For every hardcover book (x) you will be charged 5$.

For every paperback book (y) you will be charged 2$.

The amount of both types of books you buy has to be under or equal to 20$
5 0
3 years ago
Read 2 more answers
Simplify 15 - 4(11 - 8).<br><br> A. 27<br><br> B. 3<br><br> C. -3<br><br> D. 21
motikmotik

Answer:

15-44+32= 3

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • The surface area of the moon is 37,932,330km squared. Calculate the side length of a square with the same area.
    9·2 answers
  • Is 7.24979 a rational number
    10·1 answer
  • you buy a container of cat litter for $12.25 and a bag of cat food for xx dollars. the total purchase is $19.08, which includes
    14·1 answer
  • A. solve x-9=x-9
    10·1 answer
  • Swati recorded this data set, which contains an outlier.
    6·2 answers
  • ⚠️ HELP ⚠️
    15·2 answers
  • What is x+<img src="https://tex.z-dn.net/?f=x%2B2x" id="TexFormula1" title="x+2x" alt="x+2x" align="absmiddle" class="latex-form
    12·1 answer
  • The expression 0.08 + (x-200) models the final price of a computer with an instant rebate in a state that charges a sales tax.
    12·1 answer
  • Can someone answer these questions?? Thank you!!!
    14·1 answer
  • Need help with geometry!!!!!!! hurryyyy!!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!