Mode 4 practice 2

Use the dot plot below to answer the following question. Dot Plot displaying the following data points: 5, 6, 6, 7, 8, 8, 8, 9, 9, 10. Determine the mean for the data. a 7 b 7.5 c 7.6 d Cannot determine

7.6 The mean is the average of the data set. To calculate the average, total the values and then divide by the number of data points in the set. 76 ÷ 10 = 7.6.

Determine Q3 for the following set of resting pulse rates.{60,47,65,85,81,77,70,56,47,84,75} a 25 b 57 c 68 d 81

81 The correct answer is d. Arrange the data in order from least to greatest: {47, 47, 56, 60, 65, 70, 75, 77, 81, 84, 85} Q3 for this data set is 81.

Determine Q1 for the sorted list of patient ages. {3,8,8,10,16,20,20,23,27,37,44,45,62,71} a 8 b 10 c 11 d 16

10 Q2 falls between 20 and 23. The lower range of the data includes the following data points: 3,8,8,10,16,20,20. Therefore, Q1 = 10

Determine the range for the following data set. {55,77,64,82,58,75,57,49,86,71,68,76} a 33 b 31 c 27 d 37

37 The range is equal to the difference between the minimum and maximum value in a given measurable set. The maximum value is 86, and the minimum value is 49; therefore, the range of this data set is 86 - 49 = 37.

On average, adults have a diastolic blood pressure of 70 mm Hg, with a standard deviation of 12 mm Hg. About what percentage of adults have a diastolic blood pressure between 70.0 mm Hg and 94.0 mm Hg? Assume a normal distribution. a 68% b 34% c 47.5% d 49.85%

47.5 The Standard Deviation Rule says that 95% of the values will fall within 2 standard deviations of the mean. Since we are looking for the amount that falls 2 standard deviations above the mean, we can divide this number in half to find the percentage. Therefore, 47.5% will fall within 2 standard deviations above the mean.

Which of the four different sets of numbers would have the least standard deviation? a 5,5,5,5,5 b 5,6,7,8,9 c 1,8,16,25,33 d 40,43,45,47

A Because the values are all equal, the standard deviation would be 0.

What can sometimes cause a bar graph or histogram to be misleading? a Whether or not the bars are touching b Starting the numerical scale on the vertical axis at a value other than zero c Leaving out a numerical scale on the vertical axis d b and c

Both leaving out the numerical scale and starting the numerical scale at something other than zero can cause a bar graph or histogram to be misleading.

What would be the best type of graph to use to display the age of all patients in a particular ward in the hospital? a Bar chart b Histogram c Scatterplot d Pie chart

Histogram This is quantitative data that will be grouped into ranges or bins. Therefore, a histogram is the best choice to display this data.

What type of data is represented in a histogram? a Quantitative b Categorical c Both A and B d Neither A nor B

Quantitative data is represented in a histogram.

Assuming a population is normally distributed, what percentage of the population will fall within 3 standard deviations of the mean? a 98.6% b 68% c 95% d 99.7%

The Standard Deviation Rule says that 99.7% of the values will fall within 3 standard deviations of the mean.

Use the bar chart below to answer the following question. Bar Chart reflecting the average number of ice creams sold on each day of the week. Mon. 70, Tue between 60 and 70, Wed. between 50 and 60, Thur. between 40 and 50, Fri. between 60 and 70, Sat between 30 and 40, Sun. 30. What type of data is presented in this chart? a Categorical b Quantitative c Numerical D both b and c

This data is categorical as it is grouped into categories. (ie. days of the week).

Determine any outliers in the following data set. {55,77,64,82,58,75,57,49,106,71,68,76} a 49 b 106 c Both A and B d There are no outliers in the data set.

106 The correct answer is b. First, order the data set from least to greatest. {49, 55, 57, 58, 64, 68, 71, 75, 76, 77, 82, 106}. Find the quartiles and IQR. Q2 = 69.5, Q1 = 57.5, Q3 = 76.5. IQR = Q3 - Q1 = 19. Using the 1.5 IQR Criterion Rule, outliers would be less than Q1 - 1.5 IQR = 57.5 - 1.5(19) = 57.5 - 28.5 = 29, or greater than Q3 + 1.5 IQR = 76.5 + 1.5(19) = 105 Since 106 is greater than 105, it is an outlier by definition.

Please use the pie chart below to answer the following question. Pie chart reflecting the average number of hours exercised per week. No exercise 36%, 1 - 2 hours 28%, 3 - 4 hours 12%, 4 - 5 hours 10%, 5 - 6 hours 8%, 6 - 7 hours 4%, more than 7 hours 2% . If 15 people exercised 3-4 hours per week, how many people were surveyed? a 18 b 180 c 1250 d 125

125 The correct answer is d. Because 12% is the proportion, divide 15 by 0.12.

If the following data are represented on a stem plot, how many leaves would be shown on the "6" stem? {57,63,55,59,52,60,65, 56,56,65,55,63} a 5 b 4 c 3 d 2

5 There are five numbers between 60 and 69. They are 63, 60, 65, 65, and 63.

Please use the pie chart below to answer the following question. Pie chart reflecting the average number of hours exercised per week. No exercise 36%, 1 - 2 hours 28%, 3 - 4 hours 12%, 4 - 5 hours 10%, 5 - 6 hours 8%, 6 - 7 hours 4%, more than 7 hours 2% . If 150 people are surveyed, how many claim to have exercised 6-7 hours per week? a 6 b 60 c 38 d Cannot determine

6 150 x 0.04 = 6.

Determine the mean for the following set of resting pulse rates.{60,47,65,85,81,77,70,56,47,84,75} a 67 b 70 c 47 d 68

68 It is found by adding all values and dividing by the total number of values. (747 ÷ 11 = 67.9, rounded up to 68)

Does a box plot include the mean of a set of data? a Yes, a box plot includes both the mean and the median. b No, a box plot does not include the mean.

The mean is not included in a box plot. A box plot includes the median value.

Of the following sets of data, which would you assume should have the smallest range? a Weight in pounds of children seen at a general practitioners office b Ages of patients currently in the geriatric ward c Numbers of pounds lost by members of a weight-loss trial d Lengths of newborn babies in the nursery of a hospital

d Since the lengths of newborns in a nursery are between approx. 15 and 25 in, so the range is approx. 10 in. The weight in pounds of children at a general practitioner office will vary by 30 pounds or more (range would be 30 or more), the ages of patients in the geriatric ward could be 75 to 100 (range around 25), and the weight loss by members of a trial could be between 0 and say 45 pounds average (range is larger than 10).

Arrange the mean, median, and mode in order from least to greatest in a distribution that it is skewed left. a Median, mode, mean b Mean, median, mode c Mean, mode, median d Mode, median, mean

mean median mode The median will always remain in the middle for skewed data, the mean goes towards the skew, and the mode goes away from the skew.

You are designing a study to determine if weight loss is dependent upon the number of hours of vigorous exercise done by a patient in a week. You survey a group of 200 men aged 20-35 and record the number of hours exercised versus the number of pounds lost. What type of data are you collecting? a Categorical b Qualitative c Quantitative d Both a and b.

quantiative This type of data is quantitative. It is information that can be measured with numbers.