module 4 review test

What type of distribution is shown in the histogram below?

Positively Skewed Correct. The correct answer is c. This histogram reveals a distribution that is positively skewed as the long tail of the graph is to the right of the peak.

Use the following pie chart to answer the question below. Pie chart illustrating the distribution of where nurses work. If 50 nurses work in home health care, how many nurses were surveyed? a) 4 b) 40 c) 625 d) 6250

To find the answer divide 50 by 0.08 . 500.08=625 .

Identify the most significant mistake with the graph? Bar chart showing number of nursing jobs in 2008, compared to the projected number in 2018. a) Should have more years between 2008 and 2018. b) No vertical scale. c) Different colors should be used. d) Wrong type of graph used.

No vertical scale. Correct. The correct answer is b. There is no vertical scale

What is the third quartile ( Q3 ) of this data set? Data set: 78 85 87 90 100 105 115 117 123 125 125 128 135 140 152 159 160 169 179. a) 152 b) 155.5 c) 157 d) 159

) 155.5 Correct. The answer is b. Find the median, or mid-point, of the data set: 78 85 87 90 100 105 115 117 123 125 | 125 128 135 140 152 159 160 165 169 179 To find the third quartile ( Q3 ) identify the median of the upper half of the data set: 78 85 87 90 100 105 115 117 123 125 | 125 128 135 140 152 | 159 160 165 169 179 The median of the upper half of the data set falls between 152 and 159 . Therefore the third quartile ( Q3 ) =(152+159)2=155.5

The average male height in the U.S. in 2010 was 69.7 inches, with a standard deviation of 4 inches. Assuming a normal distribution, what percent of the data is between 65.7 and 73.7 inches? a) 34% b) 64% c) 58% d) 68%

) 68% Correct. The correct answer is d. According to the Standard Deviation Rule, approximately 68% of all values are within 1 standard deviation of the mean.

Which of the following would be the best option to graphically display continuous data? a) Bar Chart b) Histogram c) Pie Chart d) Box Plot

Histogram Correct. The answer is b. A histogram is a graph that displays continuous data. Histograms measure how continuous data is distributed over various ranges.

How are the mean, median, and mode of a sample related if the distribution is normally distributed? a) The mode is greater than the other two. b) The values are all equal c) The mean is largest value d) The mean is less than the median, which is less than the mode

In a normal distribution data is symmetrical, so the mean, median, and mode are all equal.

Which of the following is defined as data that represents values that can be counted or measured? a) descriptive data b) qualitative data c) categorical data d) quantitative data

quantitative Quantitative data consists of data values that are numbers, representing quantities that can be counted or measured.

What is the first quartile ( Q1 ) of this data set? Data set: 78 85 87 90 100 105 115 117 123 125 125 128 135 140 152 159 160 169 179.

102.5 Correct. The answer is d. Find the median, or mid-point, of the data set: 78 85 87 90 100 105 115 117 123 125 | 125 128 135 140 152 159 160 165 169 179 To find the first quartile ( Q1 ) identify the median of the lower half of the data set: 78 85 87 90 100 | 105 115 117 123 125 | 125 128 135 140 152 159 160 165 169 179 The median of the lower half of the data set falls between 100 and 105 . Therefore the first quartile ( Q1 ) =(100+105)2=102.5

What is second quartile ( Q2 ) of this data set? Data set: 78 85 87 90 100 105 117 123 125 125 128 135 140 152 159 165 169 179.

125 Correct. The answer is c. As there are an even number of data points in this data set, the median is half-way between 125 and 125 . Therefore, the second quartile ( Q2 ), also called the median, =125 .

What is the range of the following data set? diastolic bp data laid out in a row. Values from left to right are: 68 60 68 64 84 48 60 80 80 58 62 52 . a) 26 b) 28 c) 32 d) 36

36 The answer is d. The range is the difference between the smallest and greatest values (maximum and minimum) of a data set. The minimum value is 48 ; the maximum is 84 . 84−48=36 .

Adult diastolic blood pressures are normally distributed. The mean is 65.3 mm Hg and the standard deviation is 11.3 mm Hg. What values would 95% of the data fall between? a) 47.2 and 89.7 b) 42.2 and 86.9 c) 42.7 and 87.9 d) 41.6 and 86.8

42.7 and 87.9 The answer is c. Use the Empirical Rule to determine that 95% of the diastolic blood pressure values will be within two standard deviations of the mean. Therefore, the upper limit will be: 65.3+2(11.3)=65.3+22.6=87.9 And the lower limit will be: 65.3−2(11.3)=65.3−22.6=42.7 Therefore, 95% of the diastolic blood pressures will be between 42.7 mm Hg and 87.9 mm Hg.

Using the dot plot below, determine how many patients weigh between 116 and 140 pounds. Dot plot with a distribution of patient's weight. a) 10 b) 8 c) 6 d) Cannot determine.

6 Correct. The correct answer is c. There are 6 data points between 116 and 140 pounds.

What is the mean of the following data set? 68 60 68 64 84 48 60 80 80 58 62 52 .

65.3 The answer is a. To find the mean, the first step is to add all of the values together. Then divide that sum ( 784 ) by the number of values in the data set ( 12 ) . 78412=65.3

Assuming that adult diastolic blood pressures are normally distributed, what is the approximate percentage of adults who have diastolic blood pressures within 1 standard deviation of the mean, or between 54.0 mm Hg and 76.6 mm Hg? a) 50% b) 68% c) 95.4% d) 99.7%

68 The answer is b. The Standard Deviation Rule says that 68% of the values will fall within 1 standard deviation of the mean.

Given the following data set: {40, 11, 13, 26, 13, 40, 82, 5, 96, 45, 99, 36, 17, 33, 68} What is the range of this data set? a) 91 b) 88 c) 94 d) 89

94

Which of the following best describes a measure of spread? a) Day of the week with the most doctors on staff at BMC. b) The average number of beds in the ICU wards of a random sample of 15 hospitals. c) Live births in 2014 performed by midwives. d) Range of birth-weight for babies delivered in 2013

Range of birth-weight for babies delivered in 2013 Range is one example of a measure of spread.

Using the pie chart below, identify any possible misconception(s) with the graph. Pie chart illustrating the distribution of where nurses work. a) The % values do not sum to 100%. b) The pieces are not proportional. c) Both A and B d) No misconceptions.

The % values do not sum to 100% . Correct. The correct answer is a. The percent values do not add up to 100% . The values when added only add up to 75% .

A data point that is significantly distant from the other data points in the data set is called: a) An anomaly b) An outlier c) An outsider d) An origina

The answer is b. An outlier is a data point that is significantly distant from other data points in the data set.

About 95 percent of results in a normal distribution fall between one standard deviation below the mean and one standard deviation above the mean. True or False? a) True b) False

This is a false statement. According to The Empirical Rule, approximately 68% of the data points in a dataset will be within 1 standard deviation of the mean. 95% of all values are within 2 standard deviations of the mean.