What’s the square route of 6

The frequency distributions of two data sets are shown in the dot plots below.

fredd [130]

Answer:

1st, 4th and 6th statements are true.

Step-by-step explanation:

We have been given two dot-plots and we are asked to select all the true statements about given dot plots.

Let us write all the data points of both dot plots.

Data set 1:

1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 7.

Data set 2:

1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4.

1. The mean of data set 1 is greater than the mean of data set 2.

Let us find mean of both data sets.

$\text{Mean of data set 1}=\frac{1+1+1+1+1+2+2+2+2+2+2+2+2+3+3+3+4+4+7}{19}$

$\text{Mean of data set 1}=\frac{45}{19}$

$\text{Mean of data set 1}=2.3684\approx 2.37$

$\text{Mean of data set 2}=\frac{1+1+1+1+1+2+2+2+2+2+2+2+2+3+3+3+4+4}{18}$

$\text{Mean of data set 2}=\frac{38}{18}$

$\text{Mean of data set 2}=2.11$

We can see that mean of data set 1 is greater than mean of data set 2, therefore, 1st statement is true.

2. The mean of data set 1 is equal to the mean of data set 2.

Since mean of data set 1 is greater than mean of data set 2, therefore, 2nd statement is false.

3. The median of data set 1 is greater than the median of data set 2.

Since data set 1 has 19 data points, so median of data set 1 will be value of 10th data set, that is 2.

Our data set 2 has 18 data points, so median of data set 2 will be the average of 9th and 10th data points.

$\text{Median of data set 2}=\frac{2+2}{2}$

$\text{Median of data set 2}=\frac{4}{2}=2$

Since median of data set 2 is also 2, therefore, 3rd statement is not true.

4. The median of data set 1 is equal to the median of data set 2.

Since both data set's median is 2, therefore, 4th statement is true.

5. The standard deviation of data set 1 is smaller than the standard deviation of data set 2.

Using online SD calculator we get SD of data set 1 is 1.422 and SD of data set 2 is 0.936. Since 1.422 is greater than 0.936, therefore, 5th statement is false.

6. The data sets have the same interquartile range.

$Q_1\text{ of data set 1}=1$

$Q_3\text{ of data set 1}=3$

$\text{IQR of data set 1}=3-1=2$

$Q_1\text{ of data set 2}=1$

$Q_3\text{ of data set 2}=3$

$\text{IQR of data set 2}=3-1=2$

Since both data set's IQR is 2, therefore, 6th statement is true.

3 0

3 years ago

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A lift holds no more than 1200 pounds. If you are rolling a cart that weighs 760 pounds, how much more can the elevator hold?

cluponka [151]

1200-760=440

Answer is 440

5 0

3 years ago

Part A: Abe rented a bike at $36 for 5 days. If he rents the same bike for 8 days, he has to pay a total rent of $48.

lawyer [7]

(5,36)(8,48)
slope = (48 - 36) / (8 - 5) = 12/3 = 4

y = mx + b
slope(m) = 4
(5,36)...x = 5 and y = 36
now sub and find b
36 = 4(5) + b
36 = 20 + b
36 - 20 = b
16 = b

equation is : y = 4x + 16.....in standard form : 4x - y = -16 <==
=======================
function notation : f(x) = 4x + 16
=======================
x axis will be ur hrs....I would label them at intervals of 1
y axis will be total cost of renting the bike......as far as the intervals...not sure how to label them.....sorry....I wanna say intervals of 2...but am not sure

y = 4x + 16
slope = 4
y int = (0,16)
x int = (-4,0)

so start at (-4,0)....and since ur slope is 4, go up 4 and to the right 1...keep doing this and u will cross the y axis at (0,16)

7 0

3 years ago

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HELP!!! PLEASE HELP ME!

Karolina [17]

5+2+7
Hope this helps

3 0

3 years ago

Suppose you earn 7.25 per hour working part time for a florist. Write and solve an inequality to find how many full hours you mu

tiny-mole [99]

17-18 hours i hope i helped

5 0

3 years ago

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