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
Fiesta28 [93]
1 year ago
15

The manager of a bank recorded the amount of time each customer spent waiting in line during peak business hours one Monday. The

frequency distribution below summarizes the results. Find the standard deviation. Round your answer to one decimal place. Waiting Time (Minutes) Number of Customer 0-3 13 4-7 13 8-11 10 12-15 11 16-19 0 20-23 3
Mathematics
1 answer:
zavuch27 [327]1 year ago
7 0

The standard deviation of the frequency distribution is 5.54

<h3>How to determine standard deviation?</h3>

The table of values is given as:

x     f(x)

0-3 13

4-7  13

8-11 10

12-15 11

16-19 0

20-23 3

Rewrite the table by calculating the class midpoints:

x     f(x)

1.5 13

5.5  13

9.5 10

13.5 11

17.5 0

21.5 3

Start by calculating the mean using:

\bar x = \frac{\sum fx}{\sum f}

This gives

\bar x = \frac{1.5 * 13 + 5.5 * 13 + 9.5 * 10 + 13.5 * 11 + 17.5 * 0 + 21.5 * 3}{13 + 13 + 10 + 11 + 0 +3}

Evaluate

\bar x = 7.98

The standard deviation is then calculated as:

\sigma = \sqrt{\frac{\sum f(x - \bar x)^2}{\sum f }}

So, we have:

\sigma= \sqrt{\frac{13 * (1.5 - 7.98)^2 + 13  * (5.5 - 7.98)^2 + (9.5 - 7.98)^2 * 10 + (13.5 - 7.98)^2 * 11 + (17.5 - 7.98)^2 * 0 + (21.5 - 7.98)^2 * 3}{13 + 13 + 10 + 11 + 0 +3}}

Evaluate

\sigma= \sqrt{30.6496}

Solve

\sigma= 5.54

Hence, the standard deviation is 5.54

Read more about standard deviation at:

brainly.com/question/15858152

#SPJ1

You might be interested in
Help meeeeee plzzzzzz
laiz [17]
Okay.....so line them up
352
+788 and add
3 0
3 years ago
2. What is the mass of an object that is 10 m above the ground and has<br> 543 J of PE?
Musya8 [376]
PE = mgh
Plug in the values
543 J = m * 9.8 * 10
543 = m * 98
Divide both sides by 98
m = 5.54 kg
6 0
2 years ago
Given f(x)= 3x^2-5x+2 and g(x)= 4x- 6, find f(x)+g(x).
kirill115 [55]

f(x) = 3x² - 5x + 2

g(x) = 4x - 6


f(x) + g(x)


(3x²- 5x + 2) + (4x - 6)

3x² - 5x + 2 + 4x - 6

3x²- 5x + 4x + 2 - 6

3x² - x - 4

8 0
3 years ago
The width of a rectangle is 8 units less than the length. If the area is 153 square units, then find the dimensions of the recta
Liono4ka [1.6K]
Length: 17 units
<span>Width: 9 units.  i think this is right </span>
6 0
3 years ago
PLS HELP ASAP WILL DO ANYTHING The picture below shows a right-triangle-shaped charging stand for a gaming system: Which express
Fynjy0 [20]

Answer:

AB= 8/Cosine 60 degrees

Step-by-step explanation:

Cosine=Adjacent/Hypotenuse

Cosine=8/AB

AB=8/Cosine 60 degrees

7 0
3 years ago
Other questions:
  • What is the distance between -7 and 18
    8·2 answers
  • I need help. y = –3x – 5
    9·1 answer
  • 14 is no less than 8 times a number x plus 6.<br><br> An inequality is ?
    12·1 answer
  • Which point lies below the x-axis and to the right of the<br>y-axis?​
    5·1 answer
  • Edward’s recipe for salad uses a ratio of 3 3/4 cups of lettuce to 1/2 lb of tomatoes. Use a complex fraction to compare the amo
    10·1 answer
  • Which of the following is equivalent to sqrt-75
    13·1 answer
  • Help help help help help help find surface area​
    13·1 answer
  • Can someone help :(!
    5·2 answers
  • If i= -1, what is the value of i3?<br> O-1<br> Ο i <br> O 1<br> O -i
    13·1 answer
  • Which of the following represents an inverse variation function? A) y = 13x B) y = 3x2 C) y = x3 + 1 D) y = 3x2
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!