Short Answer
Binomial distribution is a _________ distribution?
Probability
Find the mean and mode of:
2, 22, 3, 2, 5, 6, 21
Mean= 8.7, Mode = 2
With a normally distributed data set, roughly how much of the data values will have z-scores between -1 and 1?
Approximately 68%
What is the mean of the class scores:
77, 88, 90, 100, 54?
81.8
If the original data set is not normally distributed, when small samples are taken from a data set and the distribution of the means is considered, this distribution of the sample mean can be modeled with what distribution?
What is the outlier for the class scores:
77, 88, 90, 100, 54?
54
If in a fruit garden there is average of 100 apples grown in a week, normally distributed with a standard deviation of 20. What will be z-score if the number of apples in the garden grown is 120?
1
If we toss a coin to decide who will play the match for 13 times with a standard deviation of 4, what is the z-score if the number of trials is 18?
1.25
When each outcome has different possibility, what is the probability called?
Discrete.
If in a fruit shop there are 10 types of fruits with a standard deviation of 3, what is z-score if the type of fruits is 7?
-1
If in a theatre, there are 10 shows planned to telecast in a week with a standard deviation of 2. What is the z-score if the number of shows is 15 in a week?
2.5
Name 4 measure of the spread of a data set.
Range, Interquartile Range, Variance, Standard Deviation.
If the original set of data is not normally distributed, when small samples are taken from a data set and distribution of sample means is considered, this distribution of sample means can be modeled by the Normal Distribution. This important idea is called the ______.
Central Limit Theorem.
A set of exam scores is distributed normally. The exams had a mean score of 78 and a standard deviation of 12. Find the z-score corresponding to a score of 84.
0.5
The birth weights in a city were normally distributed with a mean of 120 oz with a standard deviation of 50 oz. What is the z-score for obtaining a birth weight of 138 oz or heavier?
0.36
What is the interquartile range for the following set of data?
5, 10, 15, 20, 25, 30
15
With Normal Distribution, roughly how much of the data falls within two standard deviation of the mean?
Approximately 99.7%
What is the standard deviation of the following test scores:
45,47, 85, 89, 91, 94, 96, 98,99
(Round your answer to the nearest integer)
21
In a bookshop if they budget to buy 40 books in a month, with a standard deviation of 6, what will be z-score to buy 48 books in the same month?
1.333
What is the expected value for the following probability distribution?
E1=4, E2=5, E3=3
p(E1)=0.25, p(E2)=0.5, p(E3)=1.58