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2 years ago

What is mean median mode range?

Mathematics

1 answer:

adoni [48]2 years ago

3 0

Answer:

Mean- the average of data, meaning you add up all the numbers, and then divide the sum of the numbers by how many numbers there are. For example:

2, 2, 3, 4, 6, 6, 9.

7 numbers total.

2 + 2 + 3 + 4 + 6 + 6 + 9 = 32

32 ÷ 7 = 4.57

The mean would be 4.57.

Median- the middle point of the numbers. You cross off each of the numbers until you have one last number standing. If you have an even number of numbers, you find the middle of the last two numbers you crossed off. For example:

2, 2, 3, 4, 6, 6, 9

2, 3, 4, 6, 6

3, 4, 6

4 would be the median.

Mode- the largest number on the data.

Range- subtract the mode (largest number) from the smallest number to get range. For example:

2, 2, 3, 4, 6, 6, 9

9 - 2 = 7

7 would be the range.

Step-by-step explanation:

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Explained below.

Step-by-step explanation:

(1)

The hypothesis can be defined as follows:

H₀: The Speedy Oil Change will change the oil in customers’ cars in more than 30 minutes on average, i.e. μ > 30.

Hₐ: The Speedy Oil Change will change the oil in customers’ cars in less than 30 minutes on average, i.e. μ ≤ 30.

(2)

Use Excel to compute the sample mean and standard deviation as follows:

$\bar x=\text{AVERAGE(array)}=24.917\\\\s=\text{STDEV.S(array)}=8.683$

Compute the test statistic as follows:

$t=\frac{\bar x-\mu}{s/\sqrt{n}}=\frac{24.917-30}{8.683/\sqrt{36}}=-3.51$

The degrees of freedom is:

df = n - 1

= 36 - 1

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Compute the p-value as follows:

$p-value=P(t_{35}$

(3)

The p-value = 0.0006 is very small.

The null hypothesis will be rejected at any of the commonly used significance level.

(4)

There is sufficient evidence to support the claim that the Speedy Oil Change will change the oil in customers’ cars in less than 30 minutes on average.

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