Statistics Quiz - Segmented Bar Graphs and Normal Distribution

For a certain online store, the distribution of number of purchases per hour is approximately normal with mean 1,200 purchases and standard deviation 200 purchases. For what proportion of hours will the number of purchases at the online store exceed 1,400 ?

• a.) 68%

• b.) 32%

• c.) 16%

• d.) 5%

• e.) 2.5%

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CCSS.HSS.ID.A.4

The distribution of the number of transactions performed at a bank each day is approximately normal with mean 478 transactions and standard deviation 64 transactions. Which of the following is closest to the proportion of daily transactions less than 350 ?

• a.) 0.023

• b.) 0.046

• c.) 0.477

• d.) 0.954

• e.) 0.977

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CCSS.HSS.ID.A.4

The segmented bar graph represents the number of lollipops sold at the Bushwick Bodega for the months of January through March.  Which of the following is true based on the graph?

• the most blueberry lollipops were sold in January

• 20 lime lollipops were sold in February

• there were 90 cherry lollipops sold in March

• more lime lollipops were sold in March than February

• the least amount of lollipops are sold in January.

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The distribution of the amount of a customer’s purchase at a convenience store is approximately normal, with mean $15.50 and standard deviation $1.72. Which of the following is closest to the proportion of customer purchase amounts between $14.00 and $16.00 ?

• a.) 0.19

• b.) 0.39

• c.) 0.42

• d.) 0.61

• e.) 0.081

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CCSS.HSS.ID.A.4

The segmented bar graph represents the percentage of people

in each class that died during the Titanic ship disaster.  

Which of the following can be confirmed as true from the segmented bar graph?

• there were 75 crew members aboard the titanic 

• more people in second class lived than died

• more people in third class lived than people in second class that lived

• a higher percentage of first class passengers died than the percentage that lived

• 45% of crew members died

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The distribution of the number of moths captured per night by a certain moth trap is approximately normal with mean 103. If 28 percent of the captures fall below 76 per night, which of the following equations can be used to find σ , the standard deviation of the distribution?

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CCSS.HSS.ID.A.4

The distribution of lengths of salmon from a certain river is approximately normal with standard deviation 3.5 inches. If 10 percent of salmon are longer than 30 inches, which of the following is closest to the mean of the distribution?

• a.) 26 inches

• b.) 28 inches

• c.) 30 inches

• d.) 33 inches

• e.) 34 inches

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The distribution of the weight of backpacks carried by students in a high school is approximately normal with a mean of 15 pounds and a standard deviation of 3 pounds. Which of the following is closest to the proportion of students carrying backpacks weighing more than 18 pounds?

• a.) 0.15

• b.) 0.25

• c.) 0.34

• d.) 0.50

• e.) 0.68

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CCSS.HSS.ID.A.4

In a study of a certain type of plant, the distribution of plant heights is approximately normal with a mean height of 20 inches and a standard deviation of 2 inches. If 5 percent of the plants are taller than 24 inches, which of the following is closest to the proportion of plants shorter than 18 inches?

• a.) 0.025

• b.) 0.16

• c.) 0.48

• d.) 0.84

• e.) 0.975

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The distribution of daily temperatures in July for a coastal city is approximately normal with a mean of 75 degrees Fahrenheit and a standard deviation of 5 degrees. Which of the following is closest to the proportion of days in July with temperatures exceeding 80 degrees Fahrenheit?

• a.) 0.05

• b.) 0.16

• c.) 0.32

• d.) 0.68

• e.) 0.95

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