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Univariate Data SF

Total questions: 15

Worksheet time: 30mins

Name
Class
Date
1.

For the data set

165, 210, 220, 231, 232, 308, 427, 442, 451, 611

Calculate the five-number summary

a)

165, 220, 308, 442, 611

b)

165, 220, 270, 442, 611

c)

165, 232, 442, 451, 611

d)

165, 232, 427, 451, 611

2.

For the data set,

1, 3, 8, 8, 9 ,15, 16, 21, 29, 55, 61

determine the outlier(s) and the value of the interquartile range.

a)

IQR: 31.5

Outlier: 1

b)

IQR: 31.5

Outliers: 55, 61

c)

IQR: 21

Outlier: 61

d)

IQR: 21

Outliers: 55, 61

3.

Identify the company with the largest interquartile range

a)

Company A

b)

Company B

c)

Company C

d)

Compant D

e)

Company E

4.

Identify the company with the lowest median.

a)

Company B

b)

Company E

c)

Company C

d)

Company A

e)

Company D

5.

Identify the type of data that would be collected from the following survey question

What are the different forms of transport used by Australians to travel to work?

a)

Categorical Nominal

b)

Numerical Discrete

c)

Categorical Ordinal

d)

Numerical Continuous

6.

Identify the shape of the histogram.

a)

Positively skewed

b)

Negatively skewed

c)

Symmetrical

d)

Skewed to the right

7.
a)

Mean is less than the median

b)

Mean and median are equal

c)

Mean is greater than median

8.

Determine the standard deviation of the following dataset.

Round your answer to 1 decimal place

(a)  

9.

Outliers have the greatest effect on

a)

Median

b)

Mean

c)

Mode

d)

All of the above

10.

The amount of push-ups a group of students in Class A could do during sports day is displayed in the following boxplot.

Another group of students from Class B performed the same task. The parallel boxplot has the same median, lower and upper quartile but with a range of 2525.

a)

0

4

8

13.5

25

b)

1

4

8

13.5

24

c)

1

4

8

13.5

25

d)

0

4

8

13.5

24

11.

The number of team merchandise sold for two stores in a week is displayed in the following box plot.

Which statement is true about the sales for each store.

a)

Group B has a higher median than Group A

b)

Group A and Group B have the same range

c)

Group A as a higher median than Group B.

d)

Group A and Group B have the same median.

12.

Identify the formula for the upper fence of the dataset.

a)

Q1+1.5×IQRQ_1+1.5\times IQR

b)

Q3+1.5×IQRQ_3+1.5\times IQR

c)

Q11.5×IQRQ_1-1.5\times IQR

d)

Q31.5×IQRQ_3-1.5\times IQR

13.

Identify whether the mean will be greater than, equal to, or less than the median in the distribution above.

a)

mean is less than the median

b)

Mena and median are equal

c)

Mena is greater than the median

14.

Jamie surveyed some 10001000 people about their income level, where low is $0−$44 999, medium is $45 000−$74 999, and high is $75 000+$75 000+.

Identify the most appropriate ways to display the data.

a)

Column Graph

b)

Frequency Distribution Table

c)

Pie Chart

d)

Histogram

15.

Identify the label that represents the standard deviation on a calculator.

a)

sxsx

b)

σx\sigma x

c)

x\overline{x}

d)

nn