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ELEN [110]
3 years ago
15

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

Mathematics
2 answers:
maria [59]3 years ago
5 0

Based on the options given, the most likely answer to this query are

1) The mean of data set 1 is greater than the mean of data set 2.2) The median of data set 1 is equal to the median of data set 2.3) The data sets have the same interquartile range.

Thank you for your question. Please don't hesitate to ask in Brainly your queries. 
fredd [130]3 years ago
3 0

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.

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kirza4 [7]

Answer:

The relationship of the number of months and the total amount paid is proportional for both Hanks and Lynn.

Step-by-step explanation:

Let us divide the equation into 2 parts.

Hanks

Hank paid $2000 up front when he bought the car and he pays $200 every month. Therefore, the total amount paid (y)  and the number of month (x)can be expressed as follows.

Let

x = number of month

y = total amount paid

y = 2000 + 200x

The relationship between amount paid and the number of months is proportional

Lynn

She did not paid anything upfront but she paid $275 every month. Therefore,

x = number of month

y = total amount paid

y = 275x

This relationship between amount paid and number of month is directly proportional

7 0
2 years ago
Which of the following expresses 16 + 36 by using the GCF of the two numbers?
sergij07 [2.7K]

16 + 36 = 52 so the answer would be A) 4(4 + 9) because that equals 52 as well.

6 0
2 years ago
Read 2 more answers
What is the domain of g
olga nikolaevna [1]

Answer:

A

Step-by-step explanation:

The domain of g(x) is the set of all real numbers. Meaning that all the numbers between the min and max of g would be -7 ≤ x ≤ 7.

6 0
1 year ago
A random sample of n people selected from a large population will be asked whether they have read a novel in the past year. Let
kozerog [31]

Answer:

b. A binomial variable with 25 independent trials

Step-by-step explanation:

The conducted experiment is binomial experiment because outcome can be divided into success or failure. The success would be the people who read novel in the past year and also responses are independent of each other. We have to find the number of trials n in the given problem.

we are given that variance of R=6 and p=probability of success=0.4.

We know that variance of binomial distribution is

Variance=npq

where q=1-p=1-0.4=0.6.

By putting the values in variance formula, we can get the value of n.

6=n*0.4*0.6

6=0.24*n

n=6/0.24

n=25

Hence, random variable R is a binomial variable with 25 independent trials.

4 0
2 years ago
Which number has an 8 that is 1 tenth the value of the 8 in 78
yKpoI14uk [10]
9.75 i think I’m not really sure do you have any options?
8 0
3 years ago
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