The numbers of courses taught per semester by a random sample of university professors are shown in the histogram. Make a frequency distribution for the data. Then use the table to estimate the sample mean and the sample standard
deviation of the data set.
Make a frequency distribution for the data.
x f

1 _
2 _
3 _
4 _

Kindly check explanation

Step-by-step explanation:

Given the plot above :

X (f)fxf * x²

1 222

21734___68

32163___189

41664___256

56 163 ___515

Sample mean = Σfx / Σf

Σfx = 163 ; Σf = 56

Hence sample mean = 163 / 56

= 2.91

Standard deviation (s) :

Sqrt[(Σf*x² - (Σfx)²/Σf)) / Σf]

Sqrt [(515 - 474.45) / 56]

= sqrt(40.55 / 56)

= 0.851

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2

sorry i need the points

step-by-step explanation:

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