A club bowling team has 12 members. The first ten members bowl a game, and their average score is 156. If you know the next two members bowl scores of 173 and 151, do you have enough information to find the total of all 12 scores? (A) Yes, the total is 157. (B) Yes, the total is 1872. (C) Yes, the total is 1884. (D) No, we would need to know the ten individual scores. (E) No, we would need to know the standard deviation.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
9. A club bowling team has 12 members. The first ten members bowl a game, and their average score is 156. If you know the next two members bowl scores of 173 and 151, do you have enough information to find the total of all 12 scores?
- (A) Yes, the total is 157.
- (B) Yes, the total is 1872.
- (C) Yes, the total is 1884.
- (D) No, we would need to know the ten individual scores.
- (E) No, we would need to know the standard deviation.
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