Statistics Terminology
What type of data is described by words and qualities?
Quantitative data
Christopher looked at his quiz scores shown below for the first semester of his Algebra class.
78, 91, 88, 83, 94
What is the range?
16
A well‐drawn histogram should have
a) bars all the same width
b) no space between bars
c) a clearly marked vertical scale
d) all of these
d
A positive correlation always exists on a scatter plot when
1) y remains unchanged as x increases
2) y changes randomly as x increases
3) y decreases as x increases
4) y increases as x increases
4) y increases as x increases
For which of the following sets of data is the mode 5?
[A] 3, 6, 5, 8, 1, 5, 9, 5
[B] 2, 4, 1, 5, 7, 5, 2, 2
[C] 5, 0, 1, 2, 1, 4, 1, 0
[D] 8, 4, 8, 8, 3, 5, 5, 1
[A] 3, 6, 5, 8, 1, 5, 9, 5
Craig sees an advertisement for a car in a newspaper. Which information would not be classified as quantitative?
1) the cost of the car
2) the car’s mileage
3) the model of the car
4) the weight of the car
3) The model of the car
Which statement is true about the data set 3, 4, 5, 6, 7, 7, 10?
1) mean = mode
2) mean > mode
3) mean = median
4) mean < median
3) mean = median
How do you find the Interquartile range?
Q3-Q1
Bella recorded data and used her graphing calculator to find the equation for the line of best fit. She then used the correlation coefficient to determine the strength of the linear fit. Which correlation coefficient represents the strongest linear relationship?
1) 0.9
2) 0.5
3) -0.3
4) -0.8
1) 0.9
Analysis of data from a statistical study shows a linear relationship in the data with a correlation coefficient of -0.524. Which statement best summarizes this result?
1) There is a strong positive correlation between the variables.
2) There is a strong negative correlation between the variables.
3) There is a moderate positive correlation between the variables.
4) There is a moderate negative correlation between the variables.
4) There is a moderate negative correlation between the variables.
Which situation should be analyzed using bivariate data?
1) Ms. Saleem keeps a list of the amount of time her daughter spends on her social studies homework.
2) Mr. Benjamin tries to see if his students’ shoe sizes are directly related to their heights.
3) Mr. DeStefan records his customers’ best video game scores during the summer.
4) Mr. Chan keeps track of his daughter’s algebra grades for the quarter.
2) Mr. Benjamin tries to see if his students’ shoe sizes are directly related to their heights.
The test scores for five students were 59, 60, 63, 76, and 87. How many points greater than the median is the mean?
6
A scatterplot that does not follow a pattern has what type of correlation?
No correlation
Would you expect a positive correlation, a negative correlation, or no correlation between the number of minutes a candle burns and the height of the candle?
Negative
The table below shows the number of grams of carbohydrates, x, and the number of Calories, y, of six different foods. Which equation best represents the line of best fit for this set of data?
x: 8 9.5 10 6 7 4
y: 120 138 147 88 108 62
1) y = 15x
2) y = 0.07x
3) y = 0.1x − 0.4
4) y = 14.1x + 5.8
4) y = 14.1x + 5.8
A survey is being conducted to determine if a cable company should add another sports channel to their schedule. Which random survey would be the least biased?
1) surveying 30 men at a gym
2) surveying 45 people at a mall
3) surveying 50 fans at a football game
4) surveying 20 members of a high school soccer team
2) surveying 45 people at a mall
On an English examination, two students received scores of 90, five students received 85, seven students received 75, and one student received 55. The average score on this examination was
1) 75
2) 76
3) 77
4) 79
4) 79
Which statistic can not be determined from a box plot representing the scores on a math test in Mrs. DeRidder’s algebra class?
1) the lowest score
2) the median score
3) the highest score
4) the score that occurs most frequently
4)
Which situation describes a correlation that is not a causal relationship?
1) the length of the edge of a cube and the volume of the cube
2) the distance traveled and the time spent driving
3) the age of a child and the number of siblings the child has
4) the number of classes taught in a school and the number of teachers employed
3) the age of a child and the number of siblings the child has
Jenna took a survey of her senior class to see whether they preferred pizza or burgers.
Pizza: 18 male 21 female
Burgers: 32 males 17 female
Of the people who preferred burgers, approximately what percentage were female (nearest whole number)?
35%
Standard Deviation: The standard deviation is the average distance of each data point from the _____.
mean
Rosario and Enrique are in the same mathematics class. On the first five tests, Rosario received scores of 78, 77, 64, 86, and 70. Enrique received scores of 90, 61, 79, 73, and 87. How much higher was Enrique’s average than Rosario’s average?
1) 15 points
2) 2 points
3) 3 points
4) 4 points
3) 3 points
Create a box-and-whisker plot using the following set of data:
7, 6, 2, 7, 8, 3, 12, 9, 7, 4, 6, 7, 11
What percent of the scores are below 7.
50%
A study showed that a decrease in the cost of carrots led to an increase in the number of carrots sold. Which statement best describes this relationship?
1) positive correlation and a causal relationship
2) negative correlation and a causal relationship
3) positive correlation and not a causal relationship
4) negative correlation and not a causal relationship
2) negative correlation and a causal relationship
In a mathematics class of ten students, the teacher wanted to determine how a homework grade influenced a student’s performance on the subsequent test. The linear regression equation to represent this data is y = 0.834x + 14.650, where x represents the HW grade and y represents the test grade.
A new student comes to the class and earns a homework grade of 78. Based on the equation above, what grade would the teacher predict the student would receive on the subsequent test, to the nearest integer?
80