Mathematics, 01.04.2020 18:54 NathanaelLopez

Item 4 Find the median, first quartile, third quartile, and interquartile range of the data. 40,33,37,54,41,34,27,39,35 Item 4 Find the median, first quartile, third quartile, and interquartile range of the data. 40,33,37,54,41,34,27,39,35

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Answer from: granthazenp5e9mj

Median =37

First quartile = 33.5

Third quartile=40.5

Interquartile=7

Step-by-step explanation:

Given data

40,33,37,54,41,34,27,39,35

First we have to rearrange the data in either ascending order or descending order.

We can rewrite the data as

27,33,34,35,37,39,40,41,54

Median:

The middle term of the data is the median of the data.

The number of data = n

If n is odd, the median of the data= $(\frac{ n+1}2)^{th$ term

If n is even, the median of the data $\frac{(\frac {n}{2})^{th} +{(\frac {n}{2}+1)^{th}}}{2}$

Here n= 9

The median of the data= $(\frac{9+1}{2})^{th}$ term

$=(\frac{10}{2})^{th}$ term

$=5^{th}$ term

=37

First quartile:

The median term of the lower half of the data.

Lower half = 27,33,34,35

The median of the lower half = $\frac{(\frac 42)^{th} term+(\frac 42+1)^{th}term}{2}$

= $\frac{(2)^{nd} term+(3)^{rd}term}{2}$

= $\frac{33+34}2$

=33.5

The first quartile= 33.5

Third quartile:

The median term of the upper half of the data.

Upper half 39,40,41,54

The median of the lower half = $\frac{(\frac 42)^{th} term+(\frac 42+1)^{th}term}{2}$

= $\frac{(2)^{nd} term+(3)^{rd}term}{2}$

= $\frac{40+41}2$

=40.5

Interquartile:

The difference between first quartile and third quartile.

Interquartile = 40.5-33.5

Answer from: Quest

step-by-step explanation:

we are given the following expression and we are to solve it and find the product:

-13 × (-5)

solving the given expression in the standard order of solving a mathematical expression, beginning with the opening of brackets and then multiplying the terms and changing their signs.

-3 × -5 = 15 (answer is positive because when negative is multiplied with negative, it gives a positive answer)

Answer from: Quest

step-by-step explanation:

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Item 4 Find the median, first quartile, third quartile, and interquartile range of the data. 40,33,3...