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lisabon 2012 [21]
1 year ago
15

Please help:What is the mode of the data set?61, 92, 61, 89, 92, 61Enter your answer in the box.

Mathematics
1 answer:
Lana71 [14]1 year ago
8 0

Solution

- The mode of a dataset is the number that occurs the most within that dataset. In other words, it is the value with the highest frequency in the dataset.

- The dataset given is:

61, 92, 61, 89, 92, 61

- The frequency of these numbers is given below:

61 --------> 3

92 -------> 2

89 -------> 1

- Thus, we can see that 61 occurs 3 times

Final Answer

The Mode of the dataset is 61

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Step-by-step explanation:

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3 years ago
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Given the equation 2y = 5x - 3:

A way to find out which of the ordered pair options lie on the line is to substitute their coordinates into the equation.


A) (2, 5)
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2(5) = 5(2) - 3
10 = 10 - 3
10 = 7 (False statement). this means that (2, 5) is not a solution to the given equation.

B) (6, 3)
2y = 5x - 3
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C) (3, -6)
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D) (3, 6)
2y = 5x - 3
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E) (2, -5)
2y = 5x - 3
2(-5) = 5(2) - 3
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-10 = 7 (False statement). this means that (2, -5) is not a solution to the given equation.

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The trip took 5 hours and 45 mins
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3 years ago
A psychologist obtains a random sample of 2020 mothers in the first trimester of their pregnancy. The mothers are asked to play
leva [86]

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In all hypothesis proof procedure, we must work with the null one, rejecting it or accepting it. If we reject the null hypothesis, it will mean that our principal hypothesis is true.

According to the problem, the null hypothesis must be: H_{o} : u = 100; because it says that 100 is the normal mean that is used.

The alternative hypothesis must be: H_{a} : u > 100; because the question is asking if there's enough evidence to say that they children have a higher IQ than 100.

Then, we must calculate the P-value, which is the probability value that we are gonna use to accept or reject the null hypothesis. This P-value we can calculate it with the formula: Z=\frac{x-u}{\frac{o}{\sqrt{n} } }; where x is the sample mean, u is the hypothetical mean parameter, o is the sample deviation and n is the sample.

Extracting all values from the problem: x = 104.3; u = 100; o = 14 and n = 20.

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<em>In this problems, if the P-value is more than the level of significance, the null hypothesis is accepted. If the P-value is less than the level of significance the null hypothesis is rejected.</em>

Therefore, there is no enough evidence to say that the sample children have higher IQs, because the P-value is higher than the level of significance. (0.735>0.05).

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