Ask question

Ask question

All categories

Sunny_sXe [5.5K]

3 years ago

5

What numbers represent the lower and upper quartiles?

1 answer:

Allushta [10]3 years ago

7 0

The lower quartile 85 median 93.5 upper 115.5 lower 85 median 97 upper 115.5

You might be interested in

PLS HELP.!!!!!!!!!!!

Bezzdna [24]

Answer:

35040

Step-by-step explanation:

3.48(104)+0.24(103)

=35040

7 0

3 years ago

Read 2 more answers

The estimated daily living costs for an executive traveling to various major cities follow. The estimates include a single room

Alexandra [31]

Answer:

$\bar x = 260.1615$

$\sigma = 70.69$

The confidence interval of standard deviation is: $53.76$ to $103.25$

Step-by-step explanation:

Given

$n =20$

See attachment for the formatted data

Solving (a): The mean

This is calculated as:

$\bar x = \frac{\sum x}{n}$

So, we have:

$\bar x = \frac{242.87 +212.00 +260.93 +284.08 +194.19 +139.16 +260.76 +436.72 +355.36 +.....+250.61}{20}$

$\bar x = \frac{5203.23}{20}$

$\bar x = 260.1615$

$\bar x = 260.16$

Solving (b): The standard deviation

This is calculated as:

$\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}$

$\sigma = \sqrt{\frac{(242.87 - 260.1615)^2 +(212.00- 260.1615)^2+(260.93- 260.1615)^2+(284.08- 260.1615)^2+.....+(250.61- 260.1615)^2}{20 - 1}}$ $\sigma = \sqrt{\frac{94938.80}{19}}$

$\sigma = \sqrt{4996.78}$

$\sigma = 70.69$ --- approximated

Solving (c): 95% confidence interval of standard deviation

We have:

$c =0.95$

So:

$\alpha = 1 -c$

$\alpha = 1 -0.95$

$\alpha = 0.05$

Calculate the degree of freedom (df)

$df = n -1$

$df = 20 -1$

$df = 19$

Determine the critical value at row $df = 19$ and columns $\frac{\alpha}{2}$ and $1 -\frac{\alpha}{2}$

So, we have:

$X^2_{0.025} = 32.852$ ---- at $\frac{\alpha}{2}$

$X^2_{0.975} = 8.907$ --- at $1 -\frac{\alpha}{2}$

So, the confidence interval of the standard deviation is:

$\sigma * \sqrt{\frac{n - 1}{X^2_{\alpha/2} }$ to $\sigma * \sqrt{\frac{n - 1}{X^2_{1 -\alpha/2} }$

$70.69 * \sqrt{\frac{20 - 1}{32.852}$ to $70.69 * \sqrt{\frac{20 - 1}{8.907}$

$70.69 * \sqrt{\frac{19}{32.852}$ to $70.69 * \sqrt{\frac{19}{8.907}$

$53.76$ to $103.25$

8 0

3 years ago

Write the first four multiples of each number.<br><br>1. 3 <br>2. 4<br>3. 8 <br>4. 15

Levart [38]

Answer:

3, 6, 9, 12

4, 8, 12, 16

8, 16, 24, 32

15, 30, 45, 60

Step-by-step explanation:

multiply each number by itself

5 0

3 years ago

Divide 20m^2n^3 - 10m^2n by 5mn

Sonja [21]

$\frac{20 {m}^{2} {n}^{3} - 10 {m}^{2}n }{5mn} \\ = \frac{5mn(4m {n}^{2} - 2m) }{5mn} \\ = 4 {m}^{2} n - 2m \\ = 2m(2mn - 1)$

Hope this helps. - M

6 0

3 years ago

Which expression is equivalent to x−2y ?

Tresset [83]

Answer:

-2y+x

Step-by-step explanation:

x-2y

-2y+x

3 0

4 years ago

Read 2 more answers