1. Which of the following is not a measure of central tendency? a. median b. mean c. range d. mode
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.
A. Multiple Choice. Choose the letter of the best answer.
_____1. Which of the following is not a measure of central tendency?
a. median b. mean c. range d. mode
_____2. The mean of a set of observations is their ________ divided by the number of observations.
a. difference b. sum c. product d. division
_____3. ________________ enables us to calculate an average that takes into account the importance of each value,
to the overall total.
a. arithmetic mean b. weighted mean c. mode d. median
_____4. ________________ of a distribution is/are the value of the variable that divides it into two equal parts.
a. quartile b. percentiles c. median d. deciles
_____5. After data are arranged in an ordered sequence, ____________ divide/divides it into four equal parts.
a. median b. deciles c. percentiles d. quartiles
_____6. In a data series, when values of the observations are arranged in an ordered sequence, __________
divide/divides the data in ten equal parts.
a. quartiles b. percentiles c. deciles d. median
_____7. ___________ divide/divides the data in one hundred equal parts.
a. median b. percentiles c. quartiles d. deciles
_____8. Suppose that to make the golf team you need to score no more than 73 on average over 5 games. If you
scored 75, 75, 75, and 66 in your first 4 games what is the highest score you can shoot in your 5th game and still
make the team?
a. 75 b. 74 c. 72 d. 76
_____9. The front row in a movie theatre has 23 seats. If you were asked to sit in the seat that occupied the median
position, in which seat would you have to sit?
a. 1 b. 11 c. 23 d. 12
_____10. Which of the following measures can have more than one value for a set of data?
a. median b. mode c. mean d. none of these
B. Solve the following and show your complete solution.
1. A petrol station owner records the number of cars which visit his premises on 10 days. The numbers are: 204, 310,
279, 314, 257, 302, 232, 261, 308, 217
a. Find the mean number of cars per day.
b. The owner hopes that the mean will increase if he includes the number of cars on the next day. If 252 cars use the
petrol station on the next day, will the mean increase or decrease?2. The weights, in grams, of seven sweet potatoes are 260, 225, 205, 240, 232, 205, 214. What is the median weight?
3. In a singing contest, the scores awarded by eight judges were: 5.9 6.7 6.8 6.5 6.7 8.2 6.1 6.3, using the
eight scores, determine:
a. the mean
b. the median
c. the mode
d. Only six scores are to be used. Which two scores may be omitted to leave the value of the median the same? List
all the possible scores.
4. You are managing a store at the mall and have recorded the value of the average sale for each of 10 randomly
selected days in the last quarter. The data are:
28 32 19 28 29 29 30 32 31 35
19 28 28 29 29 30 31 32 32 35
Find the following:
a. P23
b. P88
c. D4
d. D9
e. Q3
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
