CM HS CH.1
If the standard deviation is 10, the mean is 50, and the value in question is 30, then what is the Z-score?
-2
The lifespan of a certain battery is measured in cycles. A manufacturer claims that the average number of cycles for their battery is 2000 with a standard deviation of 100, and the number of cycles is distributed normally. You wish to buy a battery from this manufacturer. What is the probability that the battery will last between 1900 and 2200 cycles?
0.815
If the standard deviation is 5, the mean is 40, and the value in question is 45, then what is the Z-score?
1
Find the range for one standard deviation in the following data set: 16, 20, 14, 24, 16, 19, 30, and 8
12.175 to 24.575
Find the maximum in the data set: 27, 26, 33, 45, 38, 38, 58, 54, 19, 22, 31
58
Find the maximum in the data set: 27, 26, 33, 45, 38, 38, 58, 54, 19, 22, 31
58
This histogram shows test scores. Based on this information, how many students got a score of 91 or better?
6
Find the standard deviation for the following data set: 16, 20, 14, 24, 16, 19, 30, and 8
6.2
____ of normally distributed data is always contained within 1 standard deviation of the mean.
68%
If a student got a 75, which bar should increase?
71-80
During the first four Summer Olympic games attended by the United States, these medal counts were awarded. Calculate the mean number of medals won during these Olympic Games. (Round it to the nearest whole number.)
88
What do we call areas in a data set where no observations have been made?
gaps
if a data set has two different modes, then what is it?
if a data set has two different modes, then what is it?
Negative Z-scores appear on the _____ side of the normal distribution.
left
What is the sum of the numbers in a data set divided by the total number of values in the data set?
mean
Using the box plot provided, what is the vertical line circled in red?
quartile 3
Which side of the normal distribution does the positive Z-score appear on?
right
A graph that peaks to the left or the right of the center is known as _____.
skewed
You have a set of numbers you are working with to provide some data. You add them all up and divide that sum by the total number of values in your set. What statistic did you just produce?
the mean
Six Sigma seeks to limit errors to occur only outside of _____ standard deviations.
three
What is standard deviation?
A measure of how scattered a data set is.
Which of the following statements is NOT quantitative data?
Last night's gathering was ten times better than last week's.
What is a group of values and/or means that divide a data set into quarters, or groups of four?
Quartile
To find the median of a set of values, what is the first thing one must do?
arrange the values in ascending or descending order
Using the box plot provided, what is the vertical line circled in red?
median
A data set contains the following numbers: 9, 1, 10, 12, 13, 15, 12, 8 Which of the following options would describe the data set best?
the median
During the first four Summer Olympic games attended by the United States, these medal counts were awarded. Calculate the median number of medals won during these Olympic Games
47
During the first four Summer Olympic games attended by the United States, these medal counts were awarded. Calculate the mode number of medals won during these Olympic Games.
47
Find the first quartile for the following data set: 7, 9, 13, 4, 18, 3, 9, 10, 15, 8, 2, 6, 9
5
With what kind of value set does the mean provide the best representation?
data sets with numbers that are close together
For the following data set, select the best method for summarizing the data. 3, 3, 4, 5, 2, 9, 5, 2, 3, 4
median
What is the midpoint value of a data set, where the values are arranged in ascending or descending order?
median
What is the largest mathematical value in a data set?
Maximum
Where is the normal distribution curve at its highest point?
Mean
What is the smallest mathematical value in a data set?
Minimum
The value that occurs the most frequently in a data set is known as the _____.
Mode
You are creating a tree house and have made the doorway into the structure 71 inches tall. Suppose the average height of adult males is 68 inches with a standard deviation of 3 inches. What percentage of men will have to bend their heads to get into the house?
16%
The following data set represents the average annual temperatures for 10 European countries in 2016 (Celsius). Calculate the range. 1.75, 9.8, 7.55, 10.55, 5.8, 9.45, 19.2, 18.45, 16.2, 5.8
17.45
Find the standard deviation for the following data set: 101, 106, 125, 142, 78, and 109
19.9
Based on this histogram, how many people scored less than or equal to 80?
2
The tail lengths of a certain animal are normally distributed with a mean length of 1.5 feet and a standard deviation of 3 inches. What percentage of these animals have a tail that is at most one foot long?
2.5%
During the first four Summer Olympic games attended by the United States, these medal counts were awarded. Calculate the range number of medals won during these Olympic Games.
200
What is the range of the data set below? 3, 7, 9, 11, 11, 11, 15, 17, 18, 24
21
During the first four Summer Olympic games attended by the United States, these medal counts were awarded. Calculate the range number of medals won during these Olympic Games.
219
During the first four Summer Olympic games attended by the United States, these medal counts were awarded. If there is an outlier, identify it from the number of medals won during these Olympic Games
239
During the first four Summer Olympic games attended by the United States, these medal counts were awarded. If there is an outlier, identify it from the number of medals won during these Olympic Games.
239
In a certain video game you wish to be in the top 0.15% of the scores. Assuming that the scores are normally distributed with a mean score of 25,460 and a standard deviation of 570, what is the score you need to achieve?
27,170
Which of the following answers is an example of continuous data?
3.14 cm
The following data set represents the average number of children per family for 10 countries in 2014. Calculate the mean number of children per family. 5.8, 6.1, 1.9, 1.4, 2.6, 2.8, 1.3, 4.4, 4.4, 1.7
3.24
What is the variance of the data set below? 3, 7, 9, 11, 11, 11, 15, 17, 18, 24
32.84
Which of these would have the largest area?
Everything under a Z-score of 2
Using the box plot provided, what is the vertical line circled in red?
Extreme minimum
What type of information does a histogram show?
Frequency
Using the box plot provided, what is the rectangle circled in red?
Interquartile range
What is the difference between the upper quartile value and the lower quartile value?
Interquartile range
When a data set is visually symmetrical, what occurs all at the same point?
The mean, median, and mode
Which of the following data sets can I graph on a histogram?
The number of people who own cats between the ages of 25 and 75
A statistician has figured out the percentage of the area under a normal curve that meets certain criteria. How would they apply this knowledge to a given sample?
They would multiply the percentage by the total sample size.
What are three methods you can use to find the spread in data?
Variance, range, and interquartile range
Which has the lowest area under it?
Z-score of -3
If a data set has two different modes, then what is it?
bimodal
A statistician is studying a normally distributed population, and they are interested in the data that falls from the mean to one standard deviation above the mean. What percentage of the population falls within this range?
34%
Find the variance for the following data set: (rounding the answer to the nearest tenth). 16, 20, 14, 24, 16, 19, 30, and 8
38.5
Find the range for one standard deviation in the following data set: 16, 20, 14, 24, 16, 19, 30, and 8
12.175 to 24.575
A store sells suits that are only designed for men who are very tall. The smallest suit they make fits any man who is 75 inches tall. If the average height of men is 70 inches, with a standard deviation of 5 inches, then how many men can shop at this store? Use this z score table:
15.87%
Find the second quartile, or the median, for the following data set: 7, 9, 13, 4, 18, 3, 9, 10, 15, 8, 2, 6, 9
9
_____ of normally distributed data is always contained within 2 standard deviations of the mean.
95%
_____ of normally distributed data is always contained within 3 standard deviations of the mean.
99.7%
What is a Z-score?
A measurement of the distance from the mean to a point in terms of standard deviations.
Why might we represent a data set with a box plot?
Because we want to see the data set's quartiles, minimum, and maximum values on a number line
What is a single number that summarizes an entire data set?
Center of data
A distribution of data has a mean of 15 and a standard deviation of 2. How many standard deviations away from the mean is a value of 13?
It is one standard deviation below the mean.
Find the variance for the following data set: 101, 106, 125, 142, 78, and 109
Numerical
What do we call a value that is much smaller or larger than the other values in a data set?
Outlier
What is a value that is much larger or smaller than the other values in a data set, or a value that lies outside the given data set?
Outlier
Which of the following describes the best approach to finding the median of an even set of numbers?
Place numbers in ascending or descending order, calculate the average of the middle terms
Brown school has decided to review their ratio of girls to boys in the Second grade class. They decided to count the number of boys in Second grade. This is an example of what type of data?
Quantitative and discrete
What is the measure of how far the numbers in a data set are away from the mean or the median?
Spread in data
A statistician makes a graph, which includes a shape that's almost mirrored perfectly across a line, but not quite. How should we describe the shape
Symmetrical
What is the fastest way to find Z-score percentages?
Tables.
What do one-sided problems involve?
The area to the left or to the right of a single Z-score
What do two-sided problems involve?
The area within or outside of a range defined by two Z-scores.
A student makes a dot plot to represent the grades their classmates got on the last test, and finds that it makes a shape that is mirrored nearly perfectly across a line at the mean. Is this shape symmetrical? Why or why not?
Yes, it's symmetrical, because the shape is mirrored nearly perfectly across a line.
What is the term for data that is grouped by type or object, not by numbers?
categorical
Beth is an apartment complex manager, she wants to plan some activities for the residents that will increase a sense of community among them. She knows that age appropriate events will attract more residents. According to the rental applications, the ages of her residents are as follows: 60, 48, 26, 20, 66, 49, 22, 25, 63, 59
yes; the ages of her residents are skewed from the mean, around half of the residents are much younger and around half are older than 43.8
Find the interquartile range for the following data set: 7, 9, 13, 4, 18, 3, 9, 10, 15, 8, 2, 6, 9
6.5
_____ of normally distributed data is always contained within 1 standard deviation of the mean.
68%
Select the statement that represents discrete quantitative data
7 people came to my party
What is the minimum in the data set? 105, 88, 93, 102, 97, 93, 96, 86, 88, 82, 79, 85, 77, 94, 91, 87
77
Which of the following answers is an example of discrete data?
8 puppies
The following data set represents the minimum wage for 1990-2000. Calculate the median. (As this is money, round to two decimal places.) 8.25, 9.80, 7.25, 7.25, 8.44, 8.75, 8.44, 9.50, 9.60, 9.50
8.60
A dot plot is a visual representation of data using intervals or categories of variables, with each dot representing _____.
an observation in the data
