question archive (Use the following one-way tabulation to answer the next three questions
(Use the following one-way tabulation to answer the next three questions
Subject:MarketingPrice:3.86 Bought12
(Use the following one-way tabulation to answer the next three questions.)
Value Frequency
1 12
2 15
3 8
4 7
25. What is the mode of the distribution for this variable?
a. 1
b. 2
c. 3
d. 4
e. none of the above
26. What is the mean of the distribution for this variable?
a. 10.50
b. 2.00
c. 2.24
d. 2.50
e. none of the above
27. Approximately what is the standard deviation of the distribution for this variable?
a. 1.06
b. 1.11
c. 6.76
d. 3.70
e. none of the above
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25. b.
26. c.
27. a.
Step-by-step explanation
25. b. 2
In a distribution, mode refers to a value which appears more frequently in a particular data set. In the distribution given, 2 has the highest frequency of 15 and thus is the mode in the data set.
26. c. 2.24
The mean of a distribution is calculated using the formula,
Mean= Total distribution/Number of frequencies
Total distribution= (1x12) + (2x15) + (3x8) + (4x7)
=12+30+24+28
=94
Number of frequencies= 12 + 15 + 8 + 7
= 42
Thus,
Mean= 94/42
=2.2380952
=2.24
27. a.1.06
Since, the data given is a grouped data, the standard deviation can be calculated by setting a table and to determine variance and then get square root of the variance.
The variance will be calculated by
Variance= (256 -94^2/42)/42-1
=(256-94^2/42)/41
=1.11265969803
Standard deviation is the square root of the variance. Thus, standard deviation is,
Standard deviation= √1.11265969803
=1.05482685689
=1.06
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