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Expenses Data — Quiz Answers

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Grace's entertainment expenses for the year were: $⁢50 , $⁢55 , $⁢60 , $⁢50 , $⁢55 , $⁢60 , $⁢50 , $⁢60 , $⁢55 What is the standard deviation of her expenses? Use the following formula to calculate standard deviation: sigma is equal to square root of the fraction with numerator the sum from i is equal to 1 to n of open paren x sub i minus m close paren squared and denominator n end root where x sub i is each data point, and n is the number of data points.

A
4 point 0 8 dollars
B
5 point 0 0 dollars
C
10 point 0 0 dollars
D
50 point 0 0 dollars
2
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Soraya recorded her weekly expenses on groceries and transportation for three weeks. The data is as follows: Week Groceries ($) Transportation ($) Week 1 80 50 Week 2 90 55 Week 3 85 60 Which stacked bar graphs accurately depicts Soraya's weekly expenses?

A
Image with description A stacked graph shows month labeled Week 1 to Week 3 on the x-axis and expenses (in dollars) on the y-axis labeled 20 to 180. Each bar is divided into two sections Transportation and Groceries. For all three weeks, the transportation expense is around 50 and the groceries expense ranges from 50 to 130.
B
Image with description A stacked graph shows month labeled Week 1 to Week 3 on the x-axis and expenses (in dollars) on the y-axis labeled 20 to 180. Each bar is divided into two sections Transportation and Groceries. In week 1, the transportation expense is around 80 and the groceries expense ranges from 80 to 160. In week 2, the transportation expense is around 90 and the groceries expense ranges from 90 to 180. In week 3, the transportation expense is around 85 and the groceries expense ranges from 85 to 170.
C
Image with description A stacked graph shows month labeled Week 1 to Week 3 on the x-axis and expenses (in dollars) on the y-axis labeled 20 to 180. Each bar is divided into two sections Transportation and Groceries. In week 1, the transportation expense is around 80 and the groceries expense ranges from 80 to 160. In week 2, the transportation expense is around 90 and the groceries expense ranges from 90 to 180. In week 3, the transportation expense is around 95 and the groceries expense ranges from 95 to 170.
D
Image with description A stacked graph shows month labeled Week 1 to Week 3 on the x-axis and expenses (in dollars) on the y-axis labeled 20 to 180. Each bar is divided into two sections Transportation and Groceries. In week 1, the transportation expense is around 50 and the groceries expense ranges from 50 to 130. In week 2, the transportation expense is around 55 and the groceries expense ranges from 55 to 145. In week 3, the transportation expense is around 60 and the groceries expense ranges from 60 to 145.
3

Shane tracked his weekly expenses on groceries for a month and created the box plot shown. Expand Image What description matches the box plot shown?

A
Minimum expense: $60 First quartile (Q1): $60 Median (Q2): $70 Third quartile (Q3): $80 Maximum expense: $90
B
Minimum expense: $50 First quartile (Q1): $60 Median (Q2): $20 Third quartile (Q3): $80 Maximum expense: $90
C
Minimum expense: $50 First quartile (Q1): $60 Median (Q2): $70 Third quartile (Q3): $80 Maximum expense: $90
D
Minimum expense: $60 First quartile (Q1): $50 Median (Q2): $70 Third quartile (Q3): $90 Maximum expense: $80
4

Anika spent $500, $550, and $600 on her three vacations this year. What is the range of her vacation expenses?

A
$200
B
$150
C
$50
D
$100
5

Given the data set: {4,6,8} , calculate the standard deviation. Use the following formula to calculate standard deviation: sigma is equal to square root of the fraction with numerator the sum from i is equal to 1 to n of open paren x sub i minus m close paren squared and denominator n end root where x sub i is each data point, and n is the number of data points.

A
1 point 5
B
2 point 6 7
C
2
D
1 point 6 3
6

Irene's grocery bills for two years (24 months) had a standard deviation of $15. If the lowest bill was $100 and the highest was $140, what is the range of her grocery bills?

A
$45
B
$30
C
$35
D
$40
7

Cleo paid monthly rents of $800, $820, $825, $810, and $825 over the last five years. What is the interquartile range (IQR) of her rents?

A
$15
B
$10
C
$20
D
$25
8

Brantley tracked his vacation expenses for the past five trips he took. He noticed that the range of his trip expenses was $ 1,200 The standard deviation of the expenses was $⁢400 , and the IQR was $⁢700 Based on these measures of spread, which of the following statements is true?

A
The majority of Brantley's trip expenses were less than 400 dollars. - no response given
B
The average amount Brantley spent on his trips was 1 dollars comma 200. - incorrect
C
The middle 50 percent of Brantley's trip expenses were all below 700 dollars. - no response given
D
Brantley's highest trip expense was 1 dollars comma 200 more than his lowest expense. - not selected, this is the correct answer
9

Nathalie is a cinema enthusiast and often spends on movie tickets and streaming subscriptions. The average entertainment expense for individuals like Nathalie in her city is $⁢120 per month with a standard deviation of $⁢15 Last month, Nathalie's entertainment expenses totaled $⁢150 What is the z -score for Nathalie's entertainment expenses last month? Use the following formula to calculate z -score: z is equal to the fraction with numerator x minus mu and denominator sigma where x is the data point, μ is the mean, and σ is the standard deviation.

A
1 point 5 - no response given
B
0 point 5 - no response given
C
0 - incorrect
D
2 point 0 - not selected, this is the correct answer
10

Lucas observed his daily coffee expenses for a month. He made a box plot to visualize the data. Expand Image Based on the box plot of Lucas's daily coffee expenses, which statement is true?

A
The range of Lucas's coffee expenses was $2. - no response given
B
Lucas spent a maximum of $5 on coffee. - incorrect
C
Lucas's median coffee expense was $5. - no response given
D
The majority of Lucas's coffee expenses were between $3 and $5. - not selected, this is the correct answer
11

Oliver and Samantha observed that the range in their dining out expenses was $90. The standard deviation was $30, and the IQR was $40. Based on these measures of spread, which of the following statements is true?

A
Oliver and Samantha's dining expenses fluctuate by exactly $30 every time they dine out. - no response given
B
Oliver and Samantha's dining out expenses typically vary around the mean with an average deviation of $30. - not selected, this is the correct answer
C
They always spend $90 when dining out. - incorrect
D
The average amount Oliver and Samantha spend on dining out is $90. - no response given
12

Ella tracked her weekly art supplies expenses for several weeks. She made a box plot graph to understand the data. Expand Image Based on the box plot of Ella's weekly art supplies expenses, which statement is true?

A
The majority of Ella's art supplies expenses were between $10 and $20. - incorrect
B
Ella's median art supplies expense was $10. - no response given
C
The range of Ella's art supplies expenses was $20. - not selected, this is the correct answer
D
Ella spent a minimum of $10 on art supplies. - no response given

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Expenses Data — Quiz Answers — Financial Math