A. Multiple Choice. Choose the letter of the best answer.

_____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. Q2