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3 years ago

The heights of plants, in inches, are 13, 4, 6, 9, 11, 23, and 7. Which measure is most affected by the extreme value?

Mathematics

1 answer:

devlian [24]3 years ago

4 0

Using statistical concepts, it is found that the mean is most affected by extreme values.

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The mean of a data-set is the sum of all values divided by the number of values, and thus, if an extreme measure is included in the data-set, it will be included in the calculation of the mean.
The median is the measure that separates the upper 50% of the data-set from the lower 50%. If an outlier is included, it may have an small effect on the data-set, as the value of the middle may change, but the change will be small compared to the mean, thus, the mean is most affected.

A similar problem is given at brainly.com/question/14455456

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3 years ago

Identify the factors of x2 − 4x − 21. (x − 7)(x 3) (x 7)(x − 3) (x 21)(x − 1) (x − 21)(x 1)

Tanzania [10]

The factors of the quadratic expression x² - 4x - 21 is (x - 7)(x + 3), making the first option the right choice.

A quadratic expression is of the form ax² + bx + c, which can be factorized using the mid-term factorization method, where b is shown as the sum or difference of two such numbers, whose product is equal to the product of a and c.

In the question, we are asked to factorize the quadratic expression, x² - 4x - 21.

In the given expression, a = 1, b = -4, and c = -21.

Thus, ac = -21.

The numbers having a product 21 are:

1*21 = 21,

3*7 = 21.

Since, 3 - 7 = -4 (That is b), we break b into 3 and -7.

Thus, the expression can now be shown as:

x² - 4x - 21

= x² + (3 - 7)x - 21

= x² + 3x - 7x - 21

= x(x + 3) - 7(x + 3) {By taking common}

= (x - 7)(x + 3) {By taking common}.

Thus, the factors of the quadratic expression x² - 4x - 21 is (x - 7)(x + 3), making the first option the right choice.

Learn more about factorizing a quadratic expression at

brainly.com/question/52959

#SPJ1

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