Income Data — Quiz Answers

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The monthly commissions of a sales team of 9 members are: $⁢500 , $⁢543 , $⁢676 , $⁢650 , $⁢700 , $⁢750 , $⁢800 , $⁢850 , $⁢742 The mean commission is $⁢690.11 , while the median is $⁢700 Which statement is true about the commission distribution?

A
One or more team members earned a significantly higher commission, causing the mean to increase.
B
One or more team members earned a significantly lower commission, causing the mean to decrease.
C
Most team members earned commissions considerably lower than the mean of 690 point 1 1 dollars.
D
The commissions are uniformly distributed among the team members.
3

A group of college students were asked about their monthly stipends from part-time jobs. The data collected (in dollars) is as follows: { 200 , 210 , 215 , 220 , 225 , 230 , 235 , 240 , 245 , 250 }. The mean of the data set is $⁢227 What does this mean in the context of the scenario?

A
The college student stipend range starts at 227 dollars.
B
The majority of college students receive a stipend of 227 dollars.
C
The average monthly stipend of all college students surveyed is 227 dollars.
D
Only one college student receives a stipend of 227 dollars.
4

The annual incomes of a group of 10 individuals are as follows: $⁢45,000 , $⁢50,000 , $⁢52,000 , $⁢48,000 , $⁢46,500 , $⁢55,000 , $⁢53,500 , $⁢182,500 , $⁢47,000 , $⁢51,000 The mean income for this group is $⁢63,050 , while the median income is $⁢50,500 Based on the comparison of the mean and median incomes, which statement best describes the income distribution in the context of this scenario?

A
Most of the individuals have incomes close to the mean of 63 dollars comma 050.
B
The incomes are uniformly distributed, with each individual earning around the same amount.
C
There is an individual or a few individuals earning substantially more than the others, causing the mean to be higher than the median.
D
There is an individual or a few individuals earning significantly less than the others, causing the mean to be lower than the median.
5

In which scenario would the median be a more appropriate measure of central tendency due to skewed data?

A
Weekly allowances of five students: 10 dollars, 12 dollars, 13 dollars, 15 dollars, 20 dollars.
B
Money earned from selling old textbooks: 5 dollars, 7 dollars, 8 dollars, 10 dollars, 18 dollars.
C
Earnings from a summer job of five students: 200 dollars, , 230 dollars, 240 dollars, 1 dollars comma 300.
D
Earnings from a weekend bake sale by five students: 30 dollars, 35 dollars, 37 dollars, 40 dollars, 42 dollars.
6

A survey was conducted among adults in a neighborhood to find out their additional monthly income from side jobs. The data collected was: $⁢410 , $⁢420 , $⁢415 , $⁢430 , $⁢425 , $⁢410 , $⁢425 Which dot plot correctly represents the data?

A
Image with description A dot plot titled Income from Side Jobs. A number line from 410 to 430 is labeled Income ($). There is 1 dot above 410, 2 dots above 415, 2 dots above 420, 1 dot above 425, and 2 dots above 430.
B
Image with description A dot plot titled Income from Side Jobs. A number line from 410 to 430 is labeled Income ($). There are 2 dots above 410, 1 dot above 415, 1 dot above 420, 2 dots above 425, and 2 dots above 430.
C
Image with description A dot plot titled Income from Side Jobs. A number line from 410 to 430 is labeled Income ($). There are 2 dots above 410, 1 dot above 415, 1 dot above 420, 2 dots above 425, and 1 dot above 430.
D
Image with description A dot plot titled Income from Side Jobs. A number line from 410 to 430 is labeled Income ($). There are 2 dots above 410, 2 dots above 415, 1 dot above 420, 1 dot above 425, and 2 dots above 430.
8

A group of 6 friends shared their weekly allowances: $⁢20 , $⁢25 , $⁢30 , $⁢35 , $⁢40 , $⁢120 The mean allowance is $⁢45 , while the median is $⁢32.50 What can be inferred about their allowances?

A
One or more friends receive a significantly larger allowance than the others.
B
Most of the friends have allowances close to the mean of 45 dollars.
C
One or more friends receive a significantly smaller allowance than the others.
D
The allowances are uniformly distributed among the friends.
9

What is the median monthly salary?

A
3 dollars comma 200
B
3 dollars comma 300
C
3 dollars comma 500
D
3 dollars comma 400
10

What is the mode of the monthly salaries?

A
3 dollars comma 200
B
3 dollars comma 300
C
3 dollars comma 500
D
3 dollars comma 400

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