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MATH 225N Week 4 Statistics Quiz 2023 Premium Exam
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MATH 225N Week 4 Statistics Quiz 2023 Premium Exam
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MATH 225N Week 4 Statistics Quiz 2023 PremiumExam
Question
The frequency table below shows the ages of the students in a psychology lecture
hall.
Complete the Relative Frequency column of the table. Enter answers as an
unsimplified fraction.
Provide your answer below:
Age. 17 18 19 20 21 22
Frequency. 9 18 27 30 21 15
Relative Frequency - ANSWER AgeFrequency
RelativeFrequency
1799120=0.075181818120=0.15192727120=0.225203030120=0.25212121120=0.1
75221515120=0.125
Question
The relative frequencies for a set of data are shown in the table below.
ValueRelative Frequency10.1520.3030.4540.10
If there are a total of 40 data values, with what frequency does the data value 1
occur?
Provide your answer below: - ANSWER Dividing each frequency by the total
number of data values gives the relative frequency. Multiplying the relative frequency
by the total number of data values gives the frequency.
The data value 1 occurs with relative frequency 0.15 in a data set of 40 values, the
frequency of the data value 1 is0.15(40)=6.
The data value 1 occurs 6 times.
Given the relative frequency table below, which of the following is the corresponding
cumulative relative frequency table?
Value
Relative Frequency
2
0.23
3
0.33
4
0.24
5
0.2
Select the correct answer below:
Value
Cumulative relative frequency
20.2330.5640.851
Value
Cumulative relative frequency
20.2330.4640.851
, Value
Cumulative relative frequency
20.3330.5640.851
Value
Cumulative relative frequency
20.1330.5640.851 - ANSWER Answer Explanation
Correct answer:
Value:2 3 4 5.
cuulative relative frequency: 0.23 0.56 0.8 1
Remember that a cumulative frequency table adds the relative frequencies for the
previous entries in the table. For example, the entry for the value 4
is0.23+0.33+0.24=0.8
Question
As the manager of a store, you wish to determine the amount of money that people
who visit this store are willing to spend on impulse buys on products placed near the
checkout register. You sample twenty individuals and records their responses.
Construct a frequency table for grouped data using five classes.
8,18,15,10,29,4,15,2,4,9,16,14,13,8,25,25,27,1,15,24 - ANSWER Lower Class
LimitUpper Class LimitFrequency1647124131871924125304
Question
William wishes to view a frequency table for grouped data using his monthly credit
card statements for the last 20 months, shown below. Construct the table for William
using six classes.
1184, 1247, 945, 1124, 1034, 1352, 1025, 1439, 1136, 1439, 1368, 1057, 1130,
1259, 1256, 1381, 838, 1342, 842, 1395 - ANSWER To determine the class width,
use the formula:
Max Value−Min ValueNumber of Classes=1439−8386≈100.17
Since the data values are integers, round up to the next integer, 101. The minimum
value, 838, is the lower class limit of the first class. To find all other lower class limits,
add the class width, 101. For example, the second lower class limit would be:
838+101=939.
The upper class limit for each row is one less than the lower class limit from the
following row. For example, the upper class limit for the first row is 939−1=938. You
can also add the class width to one upper class limit to get the upper class limit for
the next row.
Lower Class LimitUpper Class
LimitFrequency838938293910393104011404114112411124213424134314436
Question
Given the relative frequency table below, which of the following is the corresponding
cumulative relative frequency table?
Value
3
4
5
6
Frequency
0.4
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