Math 1312 Exam 1

Find the 5 number summary for the following data set:

2, 4, 8, 12, 15, 16, 18, 19, 21, 22, 23, 24, 26

Tags

CCSS.6.SP.B.5C

The three quartiles for the average resting heart rate in a sample of 2134 women were Q1=64, Q2=76, and Q3=82. Would a heart rate of 104 bpm be considered an outlier?

• No

• Yes

Describe the type of data: The competitions at a company picnic include three-legged race, wiffle ball, egg toss, sack race, and pie eating contest.

• discrete

• continuous

• nominal

• ordinal

A population has a mean of 21 and standard deviation of 5. Find the number that has a z-score of 0.9

• 21.9

• 22.3

• 20

• 25.5

Tags

CCSS.HSS.ID.A.4

Find the sample variance and sample standard deviation of the following sample:

14, 30, 19, 16, 11

Round to at least one decimal place as needed.

Answer explanation

sample variance=53.5

sample standard deviation=7.3

Determine whether the study described is a randomized experiment or an observational study.

A math department chair wants to determine the effectiveness of online homework systems. She chooses four college algebra classes and assigns a different online homework system to three of the classes. One class does not use any online homework system. She administers a common pretest and final exam to measure the effectiveness.

• randomized experiment

• observational study

Tags

CCSS.HSS.IC.B.3

Determine whether the study described is a randomized experiment or an observational study.

A study took a random sample of students and asked them about their bedtime schedules. The data showed that people who sleep for at least 8 hours before the exam day were more likely to get good grades than those who sleep for less than 8 hours.

• randomized experiment

• observational study

Tags

CCSS.HSS.IC.B.3

Describe the shape of the following histogram.

Answer explanation

This histogram is skewed to the left.

Find the mean, median, and mode of the following data set:

98, 57, 71, 65, 57, 22

Round to one decimal place if necessary.

Answer explanation

Mean=61.7

Median=61

Mode=57

Tags

CCSS.6.SP.B.5C

A population has a mean of 24 and standard deviation of 6. Find the z-score for a population value of 4.

• -3.33

• 4.5

• -4.5

• 3.33

Tags

CCSS.HSS.ID.A.4