Quiz about Algebra 2B Unit 6 Review - Modeling Data Distributions

Question 1

Some test scores are shown in the histogram. Which option best describes the shape of the test scores?

Accepted Answer

skewed left

Answer

symmetric

Answer

skewed right

Answer

uniform

Question 2

Based on the bar graph, what is the mode height range?

Accepted Answer

65-70 inches

Answer

40-45 inches

Answer

55-60 inches

Answer

75-80 inches

Question 3

Which option best describes the shape of the data displayed in the histogram?

Accepted Answer

bimodal, symmetric

Answer

unimodal, symmetric

Answer

skewed right and left

Answer

uniform, symmetric

Question 4

A histogram displaying some height data is shown.

Select three true statements.

Accepted Answer

The graph is skewed right.

Accepted Answer

median > mode

Accepted Answer

mean > median

Answer

The mean is 45-50 inches.

Answer

mode = median

Question 5

A data set has mean $$\mu$$ and standard deviation $$\sigma.$$ Which statement is correct?

Accepted Answer

A value chosen randomly from the data set will typically be contained in the interval $$[\mu - \sigma, \mu + \sigma]$$

Answer

A value chosen randomly from the data set will typically be contained in the interval $$[\mu, \mu + \sigma]$$

Answer

A value chosen randomly from the data set will typically be contained in the interval $$[\mu - \sigma, \mu]$$

Question 6

Use the image to answer the question. Which number is the best estimate of the standard deviation for the distribution shown?

Accepted Answer

8

Answer

4

Answer

16

Answer

20

Question 7

Which two statements about the curves is true?

Select two true statements.

Accepted Answer

Curve A has the smallest mode.

Accepted Answer

Curve A has the smallest standard deviation

Answer

Curve C has the smallest standard deviation.

Answer

Curve C has the smallest mean

Question 8

Isabelle creates the smooth curve to model the data in the histogram. How could Isabelle describe the shape of the curve?

Accepted Answer

The curve is skewed right.

Answer

The curve is bimodal.

Answer

The curve is symmetric.

Answer

The curve is skewed left.

Question 9

The mean score on a particular test is 80 and the standard deviation is 5. What is the probability that a randomly selected test score is more than 90? Use the Empirical Rule to solve.

Accepted Answer

2.5%

Answer

97.5%

Answer

2.35%

Answer

0.15%

Question 10

The male shoe sizes within a community are normally distributed with a mean of 10 and a standard deviation of 1.5. Apply the Empirical Rule to find the probability that a man will have a shoe size between 13 and 14.5.

Accepted Answer

2.35%

Answer

0.5%

Answer

2.5%

Answer

5%

Question 11

Consider a population mean of 135 and a standard deviation of 5. What data point, x, would result in a z-score of 1.6?

Accepted Answer

143

Answer

115

Answer

127

Answer

145

Question 12

Estimate the area percentage under a normal curve between a z-score of 0.21 and 1.67.

Accepted Answer

36.93%

Answer

40.00%

Answer

30.50%

Answer

25.12%

Question 13

The mean height of a group of plants is 20 cm, with a standard deviation of 3 cm. What is the probability that a randomly selected plant is between 20.2 cm and 24.9 cm tall? You can use the z-score chart or desmos.

Accepted Answer

42%

Answer

50%

Answer

36%

Answer

31%

Question 14

Estimate the mean for the distribution shown. State the estimated mean and explain why your answer is reasonable.

Accepted Answer

The mean is approximately 39 because the distribution is skewed to the left.

Answer

The mean is approximately 42 because that's the peak

Answer

The mean is approximately 45 because the distribution is skewed to the right.

Answer

The mean is approximately 30 because the distribution has a long tail to the left.

Question 15

Which is the best description of a normal distribution?

Accepted Answer

A normal distribution is symmetric, has a single peak, and the mean, median, and mode are all equal.

Answer

A normal distribution is uniform, is relatively flat and the mean is greater than the mode.

Answer

A normal distribution is skewed, has multiple peaks, and the mean is different from the median.

Answer

A normal distribution is symmetric, has multiple peaks, and the mean is less than the median.

Algebra 2B Unit 6 Review - Modeling Data Distributions

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