Determine whether the question is a statistical question. If it is a statistical question, identify the units for the answer.
An antique collector wants to know the age of a particular chair in a shop.
I do not feel that this is a statistical question. Am I correct on this?
Which question is a statistical question?
Responses
A If I wanted to buy a car with the lowest insurance rate which one would it be?If I wanted to buy a car with the lowest insurance rate which one would it be?
B Does my father like a Mazda more than a Lexus?Does my father like a Mazda more than a Lexus?
C What is my brother's favorite type of car to drive?What is my brother's favorite type of car to drive?
D What type of car do the seniors in the local high school prefer to drive?
D: What type of car do the seniors in the local high school prefer to drive?
This is a statistical question because it involves gathering data from a specific group (seniors in a local high school) in order to find an answer. The units for the answer would be the type of car preferred by the seniors, such as sedan, SUV, truck, etc.
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Dylan is going fishing. The lengths, in centimeters, of nine earthworms are shown below. He just caught a tenth earthworm that is 9.5 centimeters long. What is the median of the data once the tenth earthworm is included in the data set?
3, 4, 5, 5, 6, 7, 8, 9, 10
Responses
A 6.5
B 6
C 6.65
D 9.59
B 6
To find the median of a set of data, you need to order the numbers from least to greatest and find the middle number.
The ordered set of data is: 3, 4, 5, 5, 6, 7, 8, 9, 10, 9.5
The middle number is 6, which is the median of the data set once the tenth earthworm is included.
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Consider this data set:
{34, 35, 42, 18, 20, 51, 19, 47, 37, 34}
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
The mean is Response area
The median is Response area
The mode is Response area
The range is Response area
Suppose the value 26 is added to the data set.
The mean decreases by Response area.
The median decreases by Response area.
The mode is Response area.
The range is Response area.
The mean is 34.2
The median is 34
The mode is 34
The range is 33
Suppose the value 26 is added to the data set.
The mean decreases by 0.4.
The median stays the same.
The mode is still 34.
The range increases by 8 to 41.
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Consider this data set:
{34, 35, 42, 18, 20, 51, 19, 47, 37, 34}
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
The mean is Response area
The median is Response area
The mode is Response area
The range is Response area
Suppose the value 26 is added to the data set.
The mean decreases by Response area.
The median decreases by Response area.
The mode is Response area.
The range is Response area.
answer choices 0.7 34 unchanged 33 0.50 33.7 34.5
The mean is 34.2
The median is 34
The mode is 34
The range is 33
Suppose the value 26 is added to the data set.
The mean decreases by 0.4.
The median stays the same.
The mode is still 34.
The range increases by 8 to 41.
Therefore, the answers should be:
The mean decreases by 0.4. - 0.4
The median decreases by unchanged. - unchanged
The mode is still 34. - unchanged
The range increases by 8 to 41. - 41
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Which question is a statistical question?
A How old is my neighbor?How old is my neighbor?
B How old are the students in my school?How old are the students in my school?
C How old am I?How old am I?
D How old is my cat?
B How old are the students in my school?
This is a statistical question as it involves gathering data about a specific group (students in the school) in order to find an answer. The units for the answer would be the ages of the students, such as 10 years old, 11 years old, 12 years old, etc.
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Which question is a statistical question?
A What type of car do the seniors in the local high school prefer to drive?What type of car do the seniors in the local high school prefer to drive?
B What is my brother's favorite type of car to drive?What is my brother's favorite type of car to drive?
C Does my father like a Mazda more than a Lexus?Does my father like a Mazda more than a Lexus?
D If I wanted to buy a car with the lowest insurance rate which one would it be?
A What type of car do the seniors in the local high school prefer to drive?
This is a statistical question as it involves gathering data about a specific group (seniors in a local high school) in order to find an answer. The units for the answer would be the type of car preferred by the seniors, such as sedan, SUV, truck, etc.
Claire wrote down the number of centimeters that each plant in her science experiment grew last week as shown. Which dot plot could Claire use to show the data?
3, 3, 1, 4, 6, 3, 2, 2, 5, 6, 3, 4, 5, 0, 3, 5, 1, 2, 4, 4, 4
Responses
A
B
C
D
Sorry, there is no dot plot image provided to select an option. Can you please provide me with the options given for the dot plot?
Which question is a statistical question?
Responses
A How do I rate the taste of ice-cream on a scale of 1-10?
B Which brand of ice cream is preferred by the people shopping at a grocery store?
C How does my brother rate the taste of ice-cream on a scale of 1-10?
D Does my father or my mother like the ice-cream from the grocery store better?
B Which brand of ice cream is preferred by the people shopping at a grocery store?
This is a statistical question as it involves gathering data about a specific group (people shopping at a grocery store) in order to find an answer. The units for the answer will be the brand of ice cream preferred by people.
{20, 30, 40, 50, 60, 70, 80}
The mean of this set of numbers is
The sum of the numbers in the set is:
20 + 30 + 40 + 50 + 60 + 70 + 80 = 350
To find the mean, we divide the sum by the number of terms (which is 7 in this case):
350 ÷ 7 = 50
Therefore, the mean of this set of numbers is 50.
Jerry wrote down the number of centimeters that each plant in his garden grew in the last week as shown. can you separate the numbers least to greatest?
2, 3, 2, 1, 6, 6, 0, 5, 3, 4, 4, 3, 3, 2, 4, 5, 5, 4, 2, 3
0, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6
(0,1,1,1,1,2,2,2,3,4)
Consider the dot plot which shows the distribution of data collected on the amount of time Marty spends playing video games each day. Which statement BEST describes the center of the data?
A median is greater than the mean
B mean is greater than half the rang
C mean is 2 points greater than the median
D mean is greater than the median
E median is greater than half the range
D mean is greater than the median
We can see that the center of this data lies somewhere between the value of 1 and 2. If we calculate the median of the data set:
(0, 1, 1, 1, 1, 2, 2, 2, 3, 4)
The median is (1+2)/2 = 1.5
To calculate the mean, we sum all the numbers and divide by the total number of values:
(0+1+1+1+1+2+2+2+3+4)/10 = 1.7
Since the mean is greater than the median, we can say that the data is skewed to the right, with some higher values dragging the mean value above the median.
{49, 50, 45, 23, 35, 66, 34, 74, 54, 50}
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response.
The mean is
The median is
The mode is
The range is
Suppose the value 60 is added to the data set.
The mean increases by
The median increases by
The mode is
The range is
The mean is 47.0
The median is 49.5
The mode is 50
The range is 51
Suppose the value 60 is added to the data set.
The mean increases by 4.3. (To find the new mean, we add 60 to the sum of the original values and divide by 11)
(49+50+45+23+35+66+34+74+54+50+60) / 11 = 51.3
The median increases by 0.5. (To find the new median, we sort the data from least to greatest)
23, 34, 35, 45, 49, 50, 50, 54, 60, 66, 74
The new median is the average of the two middle values: (50 + 54) / 2 = 52
The mode is still 50.
The range increases by 60. The new range is 111 (60-23 = 37 is the minimum and 74 is the maximum).
make a box-and-whisker plot matches the data?
8, 8, 2, 8, 5, 4, 8, 6, 7, 9, 8, 3, 10, 4, 4, 5, 12
Here is a box-and-whisker plot that matches the data:
```
| | | | |
----+-----------+------------+-----------+-----------+----
2 4 8 10 12
```
In this plot, the left whisker starts at the minimum value of 2, and the right whisker ends at the maximum value of 12. The box covers the interquartile range, which extends from the first quartile (Q1) at 4 to the third quartile (Q3) at 8. The median is represented by a vertical line inside the box, which is at 6.5 in this case (the average of the two middle numbers when the data is sorted from least to greatest).
Month Rainfall (cm)
January 4.3
February 3.9
March 4.0
April 5.0
May 2.9
June 3.2
July 1.9
August 2.0
September 3.7
October 3.8
November 4.2
December 4.9
What is the mode of the data in the rainfall table?
Responses
A 5.0
B no mode
C 3.65
D 3.13
E 3.7
B No mode
In this data set, there is no value that appears more frequently than any other, so there is no mode.
Find the area of the trapezoid by decomposing it into other shapes.
To find the area of a trapezoid, you can decompose it into a rectangle and two right triangles. Here are the steps:
1. Draw a vertical line down from the top left vertex to the bottom base. This splits the trapezoid into a rectangle and a right triangle.
2. Label the length of the top base as "a", the length of the bottom base as "b", and the height of the trapezoid as "h". Also label the length of the vertical line from Step 1 as "x".
3. The area of the rectangle is given by: A = x * h
4. The areas of the two right triangles are given by: A = (1/2) * x * (a - b)
5. Add the areas of the rectangle and the two triangles together to find the total area of the trapezoid:
A = x * h + (1/2) * x * (a - b)
Here is an example:
Suppose we have a trapezoid with a top base of length 4 cm, a bottom base of length 8 cm, and a height of 5 cm. We draw a vertical line down from the top left vertex to split the trapezoid into a rectangle and a right triangle. The vertical line has length:
x = 8 cm - 4 cm = 4 cm
The area of the rectangle is:
A = x * h = 4 cm * 5 cm = 20 cm^2
The areas of the two right triangles are:
A = (1/2) * x * (a - b) = (1/2) * 4 cm * (4 cm - 8 cm) = -8 cm^2 (note: the negative sign just means that the area is in the opposite direction)
A = (1/2) * x * (b - a) = (1/2) * 4 cm * (8 cm - 4 cm) = 8 cm^2
Adding these areas together, we get the total area of the trapezoid:
A = 20 cm^2 + (-8 cm^2) + 8 cm^2 = 20 cm^2
Therefore, the area of the trapezoid is 20 cm^2.
how to find the surface area of a triangler prism
To find the surface area of a triangular prism, you need to find the area of all its faces, add those areas together, and then simplify. Here are the steps:
1. Identify the bases of the prism. In a triangular prism, there are two congruent triangles that make up the bases.
2. Find the area of one of the triangles. To do this, you need to know the length of the base and the height of the triangle. If the base has length "b" and the corresponding height is "h", then the area of the triangle is:
Area = (1/2) * b * h
3. Multiply the area of one triangle by 2 to find the total area of the two bases.
4. Identify the lateral faces of the prism. In a triangular prism, there are three rectangles that make up the lateral faces.
5. Find the area of one of the rectangles. To do this, you need to know the length and width of the rectangle. The length is the same as the length of the triangular base, and the width is the height of the prism. If the length is "l" and the width is "w", then the area of the rectangle is:
Area = l * w
6. Multiply the area of one rectangle by 3 to find the total area of the three lateral faces.
7. Add together the area of the two bases and the three lateral faces to find the total surface area.
8. Simplify the expression.
Here's an example:
Suppose you have a triangular prism with a triangular base that has base length 6 cm, height 4 cm, and side lengths of 5 cm, 7 cm, and 7 cm. The height of the prism is 10 cm.
To find the area of one of the triangular bases:
Area = (1/2) * b * h = (1/2) * 6 cm * 4 cm = 12 cm^2
Since there are two bases, the total area of the bases is:
2 * 12 cm^2 = 24 cm^2
To find the area of one of the rectangular lateral faces:
Area = l * w = 6 cm * 10 cm = 60 cm^2
Since there are three lateral faces, the total area of the lateral faces is:
3 * 60 cm^2 = 180 cm^2
72, 80, 74, 68, 65, 66, 72, 70, 68, 80, 74
Sara's recent golf scores are shown.
From the data shown what is the median of her scores?
Responses
A 65
B 71
C 66
D 72
E 85
F 80
Which question is a statistical question?
Responses
A Does my father or my mother like the ice-cream from the grocery store better?Does my father or my mother like the ice-cream from the grocery store better?
B How do I rate the taste of ice-cream on a scale of 1-10?How do I rate the taste of ice-cream on a scale of 1-10?
C How does my brother rate the taste of ice-cream on a scale of 1-10?How does my brother rate the taste of ice-cream on a scale of 1-10?
D Which brand of ice cream is preferred by the people shopping at a grocery store?