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irina [24]
3 years ago
11

A week before an election, 1,500 people were asked who they planned to vote for. Of the people asked, 45% said they planned to v

ote for candidate X, and 38% said they planned to vote for candidate Y. The rest said they had not yet decided. How many of the people that were asked have not yet decided who they plan to vote for?
Mathematics
1 answer:
Ivahew [28]3 years ago
5 0
By difference, the percentage of people who are not sure who to vote is 100% - 45% - 38% = 17%. The number of people who have not yet decided to whom their votes goes is the product of 1,500 and 17% in its decimal equivalent.
                                (1,500) x (0.17) = 255
Therefore, 255 have not yet decided who to vote. 

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

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

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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:  

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Let us find mean of both data sets.

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\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}

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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

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Q_1\text{ of data set 2}=1

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

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