Each of the following is a measure of center EXCEPT Mean (b) Mode (c) Mid-Range
ID: 3206494 • Letter: E
Question
Each of the following is a measure of center EXCEPT
Mean (b) Mode (c) Mid-Range (d) Variance
Which measure of center divides a data set equally, such that half of the data values are above the measure and half of the data values are below the measure?
Mean (b) Mode (c) Median (d) Mid-Range
Which measure of center should be used with nominal data?
Mean (b) Mode (c) Median (d) Mid-Range
4.A measure of variation describes how values in a data set are dispersed around the mean. Which of the following is a measure of variation?
(a)Z-score (b) range (c) median (d) percentile (e)mid-range
5.All of the following are properties of the mean EXCEPT:
(a)The mean is found by adding all the values in a data set and dividing by the number of values.
(b)The mean is affected by outliers.
(c)The mean is the halfway point in a data set.
(d)The mean is unique and not necessarily one of the data values.
6.If the mean of five values is 64, what is the sum of the values?
(a)69 (b) 12.8 (c) 59 (d) 320 (e)4096
7.The symbol for the mean of a population is:
x (b) (c) µ (d) x (e) ²
8.The symbol for the standard deviation of a population is:
x (b) (c) µ (d) x (e) ²
9.The symbol for the standard deviation of a sample is:
s² (b) (c) µ (d) s (e) ²
10.The symbol for the mean of a sample is:
(a)x
11.The symbol for the variance of a sample is:
s² (b) (c) µ (d) s (e) ²
12.The symbol for the variance of a population is:
s² (b) (c) µ (d) s (e) ²
13.Which measure of central tendency can be misleading when a data set contains outliers?
(a) Mean (b) Mode (c) Median (d) Range (e) All of the above
The number of data values in a population is represented by:
N (b) (c) n (d) µ (e)
The ____ is the value that occurs with the greatest frequency
(a) Mean (b) Median (c) Mode (d)Mid-Range
Questions 16 – 23 pertain to the following data below.
17 19 21 18 20 18 19 20 20 21
What is the mean?
(a) 19.9 (b) 20.4 (c) 19.3 (d) 18.6
What is the median?
19.0 (b) 19.5 (c) 20.0 (d) 18.7
What is the mode?
18 (b) 19 (c) 21 (d) 20
What is the mid-range?
20 (b) 21 (c) 19 (d) 18
What is the standard deviation?
1.8 (b) 1.3 (c) 1.7 (d) 19.3
What is the variance?
1.2 (b)1.3 (c)1.7 (d)1.4
Find the value of Q1
18 (b) 19 (c) 20 (d) 21
Find the value of Q3?
18 (b) 19 (c) 20 (d) 21
Which has a better relative position: a score of 75 on a Statistics test with a mean of 60 and a standard deviation of 10 or a score of 36 on a Biology test with a mean of 30 and a variance of 16?
Statistics (b) Biology (c) Both are the same (d) Cannot be determined
True or False. For any data set, the median is always equal to the 50th percentile
True (b) False
If the standard deviation of a data set is 5.0, what is the variance?
2.5 (b) 2.24 (c) 25.0 (d) 250.0 (e) 10
Questions 27 – 30 pertain to the following: The US Military, when designing a new fighter jet must consider the sitting heights of airforce pilots. Listed below are the sitting heights (in millimeters) obtained from a random sample of pilots.
936, 928, 924, 880, 934, 923, 878, 930, 936
What is the mean of the sample values?
907 (b) 918.8 (c) 936.8 (d) 928
What is the median of the sample values?
928 (b) 918.8 (c) 936 (d) 907
What is the standard deviation of the sample values?
529 (b)23.0 (c) 230 (d) 21.7
Find the value of Q3?
934 (b) 930 (c) 923 (d) 878
A Physician is concerned that a three-year old girl has a height of only 87.8 cm. Heights of three-year old girls have a mean of 97.5 cm and a standard deviation of 6.9 cm. Use the range rule of thumb to find the minimum and maximum usual heights of three-year old girls?
83.7 & 111.3 (b) 81.4 & 114.6 (c) 84.5 & 116.3 (d) 81.5 & 116.3
Consider the boxplot below.
Median (Q2)
Q3
85
Which of the following statements are true?
The Interquartile range is 60
The maximum value is 110
The 50th percentile is equal to 60
I only
II only
III only
I and II only
I and III only
The heights of a group of professional basketball players are summarized in the frequency distribution below. Find the mean height. Round your answer to one decimal place.
Height (inches)
Frequency
70-71
1
72-73
6
74-75
10
76-77
12
78-79
8
80-81
6
82-83
1
13.5 in (b) 78.2 in (c) 74.7 in (d) 76.4 in
Refer to question 33 above. What is the modal class?
72-73 (b) 76-77 (c) 74-75 (d) 78-79 (e)80-81
When the Final exam statistic test scores of 500 students were analyzed, a mean score of 82 was obtained with a standard deviation of 6. Assuming that the scores were normally distributed, how many students had scores between 76 and 88?
(a) 340 (b) 350 (c) 360 (d) 370
Refer to question 35 above. A student had a score of 68, would this score be considered unusual?
(a) Yes (b) No
37. A professor gives 3 tests and uses a weighted average to determine the final grades in his Psychology class. The weights are as follows: Test 1 = 30%, Test 2 = 20%, and test 3 = 50%. If a student scores 95 on the first test, 70 on the second test, and 80 on the third test, what would be her final score?
(a) 82.5 (b) 83.7 (c) 80.5 (d) 81.5 (e) 78.8
Questions 38 and 39 pertain to the frequency table below.
The frequency distribution below describes the speed of drivers ticketed by the town of Poughkeepsie police. These drivers were travelling through a 30 mile/hr speed zone on Creek Road.
What is the mean speed of the ticketed drivers?
(a) 43.8 (b) 55.6 (c) 46.8 (d) 41.4
If a histogram is constructed using the data from the frequency table above, what would be the shape of the distribution?
(a) Positively skewed (b) Negatively skewed (c) Symmetric (Normal Distribution)
If a data set has a mean of 10.0 seconds and a standard deviation of 2.0 seconds, what is the z-score corresponding to a time of 4.0 seconds?
(a)3.0 (b) 2.0 (c) -3.0 (d) -2.0
Which score has a higher relative position, a score of 50 on a test for which the x = 30 and s = 8, or a score of 375 on a test for which the x = 280 and s = 44?
A score of 50 (b) A score of 375
Both scores have the same relative position
What is the value of the mode when all values in the data set are different?
0 (b) 1 (c) There is no mode (d) It cannot be determined
In a positively skewed distribution, the mean is located to the right of the median and the mode is located to left of the median.
True (b) False
When there are outliers in a data set, what measure of central tendency should be used?
mean (b) median (c) mode (d) mid-range (e) frequency
A statistic that tells the number of standard deviations a data value is above or below the mean is called:
A quartile (b) a percentile (c) a coefficient of variation score (d) a Z-score
Calories in 12 breakfast cereals
Apple Jacks
Basic 4
Bran Chex
Bran Flakes
Cap’ n Crunch
Cinnamon Crunch
Cocoa Puffs
Corn Chex
Corn Flakes
Corn Pops
Count Chocula
What is the Z-score for the calories of Bran Flakes?
-0.79 (b) 1.79 (c) 1.65 (d) 0.93 (e) -1.65
Find the number of calories associated with a z-score of -1
109.167 (b) 120.812 (c) 97.522 (d) 114.989 (e) 87.225
Determine whether any of the cereals is an outlier:
Cinnamon Crunch (b) Basic 4 (c) Apple Jacks (d) Cap’ n Crunch
Find the 95th percentile:
130 calories (b) 115 calories (c) 110 calories (d) 105 calories
Find the IQR:
5 calories (b) 10 calories (c) 15 calories (d) 20 calories
Median (Q2)
Q3
85
Explanation / Answer
1)
Each of the following is a measure of center EXCEPT
- Variance ( all other are meausre of centers)
Mean is average of all data points
Mode is the most frquent data point
Mid-Range is the middle point of the range
Variance is the spread and not the tendency of center
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