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Wednesday Exit Ticket- Measure of Variation

Total questions: 25

Worksheet time: 1hrs 5mins

Name
Class
Date
1.

What is the range in statistics?

a)

(Highest + lowest)/2

b)

Highest - lowest

c)

(Highest - lowest)/2

d)

(Highest - lowest)2

2.

What does variance represent?

a)

How many different variations are in the data set.

b)

How the population varies compared to the sample.

c)

How spread out each data value is from the mean.

d)

The range, but with a bunch of other stuff going on.

3.

Before you can begin calculating the variance, you must first:

a)

find the mean

b)

find the median

c)

find the mode

d)

find the range

4.

Once you've calculated the mean, and listed the values in a table, what is the next step to calculating the variance?

a)

Square each value in the data set

b)

Subtract each value in the data set from the mean

c)

Subtract the mean from each value in the data set

d)

Add the mean to each value in the data set

5.

What is the difference between the formulas for population variance and sample variance?

a)

The sample variance is the square root of the population variance.

b)

The population variance divides the sum of the squares by n-1, while sample divides by N.

c)

The population variance divides the sum of the squares by N, while sample divides by n-1.

d)

There is no difference.

6.

How do you calculate the standard deviation?

a)

Divide the variance by 2.

b)

Its a long process and I can't explain it right now.

c)

Find the mean and multiply it by the variance.

d)

Take the square root of the variance.

7.

Calculate the mean.

a)

μ = 10

b)

μ = 10.5

c)

x̄ = 10.5

d)

μ = 11

8.
Which of the following is a measure of variability?
a)
mean
b)
median
c)
mode
d)
standard deviation
9.
What does this symbol represent?
a)
Variance
b)
Standard Deviation
c)
Mean Absolute Deviation
d)
Sigma
10.
What does this symbol represent?
a)
Standard Deviation
b)
Variance
c)
Mean Absolute Deviation
d)
Sigma
11.
Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Roger's scores?
a)
193
b)
127
c)
60
d)
66
12.

The standard deviation describes the spread about which of the following?

a)

median

b)

mode

c)

mean

d)

range

13.
What is the mode?
a)
# happening the most
b)
the average
c)
biggest - smallest
d)
the middle #
14.
What is the mean?
a)
# happening the most
b)
the number in the middle
c)
biggest-smallest
d)
the average
15.
What is the median?
a)
biggest- smallest
b)
average
c)
the middle #
d)
# that happens the most
16.

Once you've calculated the mean, and listed the values in a table, what is the next step to calculating the variance?

a)

Square each value in the data set

b)

Subtract each value in the data set from the mean

c)

Subtract the mean from each value in the data set

d)

Add the mean to each value in the data set

17.

What is the outlier in this data set?

{23, 60, 30, 21, 25, 35, 29}

a)

35

b)

21

c)

30

d)

60

18.

At Donald's Donuts the number of donut holes in a bag can vary. Help Donald find the mode.

12,10,10,10,13,12,11,13,10

a)

13

b)

12

c)

11

d)

10

19.

Which is the formula for population standard deviation?

a)

σ=Σ(x−μ)2N\sigma=\sqrt{\frac{\Sigma\left(x-\mu\right)^2}{N}}

b)

s=Σ(x−x‾)2n−1s=\sqrt{\frac{\Sigma\left(x-\overline{x}\right)^2}{n-1}}

20.

Which is the formula for population mean?

a)

x‾=Σxn\overline{x}=\frac{\Sigma x}{n}

b)

μ=ΣxN\mu=\frac{\Sigma x}{N}

21.

True or False: The variance is calculated differently depending on if you have a population or a sample.

a)

True

b)

False

22.

What is the correct expression for finding sample variance?

a)

SSxn\frac{SS_x}{n}

b)

Σdn\frac{\Sigma d}{n}

c)

SSx(n−1)\frac{SS_x}{\left(n-1\right)}

d)

Σd(n−1)\frac{\Sigma d}{\left(n-1\right)}

23.
How many modes can you have in a data set?
a)
Zero
b)
One
c)
Two
d)
All the above
24.
Which measure of central tendency is MOST EASILY affected by outliers?
a)
mean
b)
median
c)
mode
d)
IQR
25.

Which Dot Plot shows the Least Variability?

a)

A

b)

B