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4 years ago

Find the standard deviation of the sample data set 127 135 128 131-133 127 122

Mathematics

1 answer:

svet-max [94.6K]4 years ago

4 0

Answer:

The standard deviation of the sample data set is 4.36

Step-by-step explanation:

* Lets explain how to find the standard deviation

# Step 1: find the mean of the data set

∵ The mean = the sum of the data ÷ the number of the data

∵ The data set is 122 , 127 , 127 , 128 , 131 , 133 , 135

∵ Their sum = 122 + 127 + 127 + 128 + 131 + 133 + 135 = 903

∵ They are seven

∴ The mean = 903 ÷ 7 = 13.29

# Step 2: subtract the mean from each data and square the answer

∴ (122 - 129)² = 49

∴ (127 - 129)² = 4

∴ (128 - 129)² = 1

∴ (131 - 129)² = 4

∴ (133 - 129)² = 16

∴ (135 - 129)² = 36

# Step 3: find the mean of these squared difference

∵ The data is a sample data set

∵ The mean = the sum of the data ÷ (the number of the data - 1)

∵ The sum = 49 + 4 + 4 + 1 + 4 + 16 + 36 = 114

∴ The mean = 114 ÷ (7 - 1) = 114 ÷ 6 = 19

# Step 4: the standard deviation is the square root of this mean

∴ The standard deviation = √(19) = 4.3589 ≅ 4.36

* The standard deviation of the sample data set is 4.36

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DaniilM [7]

The solution to your problem is as follows:

Since the equation of a line is:

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4 years ago

A random sample of 7 fields of durum wheat has a mean yield of 29.8 bushels per acre and standard deviation of 3.62 bushels per

meriva

Answer:

CI = 29.8 ± 3.53

Critical value is z = 2.58

Step-by-step explanation:

First of all let's find margin of error. It is given by the formula;

ME = zσ/√n

We are given;

Standard deviation; σ = 3.62

Sample size; n = 7

Mean; x¯ = 29.8

Now, z-value for 99% Confidence level is 2.58

Thus;

ME = (2.58 × 3.62)/√7

ME = 3.53

CI is written as;

CI = x¯ ± ME

CI = 29.8 ± 3.53

Critical value is z = 2.58

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3 years ago

Dominic considers buying 2 points on a 25-year, fixed rate mortgage for $187,600. His interest rate will be 5.45% if he does not

algol [13]

Answer:

If Dominic buys 2 points (2% of the loan value) he will get a better rate and hence less payment. The question is asking how long will it take him to save the initial investment of 2% of the loan value due to a smaller payment. The monthly payment at 5.45% is $1,146.43, the monthly payment for 5.2% is $1,118.66. This is a difference of $27.77 per month. The 2 points will cost him $3,752.00. The question is asking how long will it take Dominic to re-coup his $3,752.00 if he saves $27.77 per month. Just divide the 2 numbers and you get 135.10 months. If you divide that by 12 you get 11.26 years, which is roughly 11 years, 4 months.

Step-by-step explanation:

Here is what the question is asking. If Dominic buys 2 points (2% of the loan value) he will get a better rate and hence less payment. The question is asking how long will it take him to save the initial investment of 2% of the loan value due to a smaller payment. The monthly payment at 5.45% is $1,146.43, the monthly payment for 5.2% is $1,118.66. This is a difference of $27.77 per month. The 2 points will cost him $3,752.00. The question is asking how long will it take Dominic to re-coup his $3,752.00 if he saves $27.77 per month. Just divide the 2 numbers and you get 135.10 months. If you divide that by 12 you get 11.26 years, which is roughly 11 years, 4 months.

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4 years ago

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natka813 [3]

Answer:

d, e, g, and h.

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3 years ago

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Butoxors [25]

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3 years ago