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Fiesta28 [93]
2 years 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]2 years 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

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Answer:

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The answer to the question is

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Step-by-step explanation:

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Based on evidence from the sampled statistics, the likelihood of achieving an increased probability of success on subsequent attempt on the condition that previous attempts were successful in my opinion is plausible. This is because the ability to score points at a game is dependent on several variables, all of which are from previous occurrence, such dependent variables include

1.  The inherent ability of the sport athlete to deliver the required input for success. This is a conditional probability for success as such this forms part of the increased acceptance level for the  "hot hand" phenomenon

2. Conditions of play may favor a particular probability than others resulting in a change in the mean, and the standard deviation of the distribution resulting in a skewed outcome

3. Increased opportunity giving to the athlete that previously had a successful attempt possibly by the athlete himself by way of confidence, the audience by way of focus on the outcome of the athletes attempt, and the administrators by way of trying to make it achievable and hence easier within the rules for the athlete have a successful attempt

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3 years ago
What is the value of x?
spin [16.1K]

It is a 45-45 - 90 triangle (as the right angle is split in half for the outer one)

In this case, x is in the hypotenuse. The side lengths follow the 1, 1, √2 formula.

If  1 = 3, then:

3 x √2 = Answer

Answer = 3√2

hope this helps

5 0
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X^2+2x=24<br> Factor then solve?
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Answer:

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Step-by-step explanation:

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We can split it up into a net
actually, here is a hack

notice that indented side?
we can take the plane and push it so it makes 4 sides, neat

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2 L's so
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the sides
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10*3*4=120

toatl is 150+120=270

answer is A

3 0
3 years ago
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