Topic 8 ENR

1. Which is a statistical question that could have been asked to collect the data shown in the dot plot?

• • How many times did you buy a school lunch last week?

• • How many days were in last month?

• • Is your favorite number between 0 and 5?

• • What is the perimeter of a
    1.5 inch × 1 inch index card?

1. The data set shows the distance, in miles, to school for 10 students.

2. 2, 3, 4, 4, 2, 3, 4, 3, 4, 2

3. Select Yes or No for each statement:

4. The range is 2. ​ ​ ​ ​​ ​ ​ ​ (a)  

5. The median and mode are 4. ​ (b)  

6. The median is 4 and the mode is 3. ​ (c)  

7. The median is 3 and the mode is 4. ​ (d)  

• Yes

• No

1. The number of miles that Paula ran each week are: 8, 9, 15, 18, 14, 12, 12, 21
   Choose the words that make the inequalities true.

2. range > ​ ​ ​ (a)  

3. median < ​ (b)  

• mode
• mean
• range
• median

The data show the average monthly temperatures, in degrees Fahrenheit, for a city during a 12-month period:

50, 56, 61, 65, 73, 81, 76, 63, 61, 41, 45, 48

What is the MAD for this set of data?

The histogram shows the number of hours per week that students in Mrs. Green’s class spend playing sports. According to the histogram, how many students spend between 6 and 11 hours per week playing sports?

Choose the numbers that make the statements correct. The third quartile is (a)   and the first quartile is ​ (b)   . The IQR is ​ (c)  

• 31
• 21
• 10
• 20
• 24
• 35
• 15
• 11

7. Eight middle school bands in a competition had the following distribution of band members.

8. 14, 8, 13, 12, 16, 15, 20, 14

9. What is the MAD of band members?

• 0

• 1.75

• 2.25

• 3.5

7. Hector made a dot plot showing the amount of time he spent studying each day for two weeks. He says that he usually studies 3.5 hours per day because that is the time that occurs most often. Do you agree with Hector’s reasoning? Explain.

• Yes because 3.5 is the mode.

• No. The mean and median are more typical times than the mode.

7. Paula recorded the grams of protein in each serving of 7 different brands of nutritional shakes: 13, 25, 25, 29, 18, 15, and 32.

8. What is the third quartile of the data?

Frank kept track of the amount of money he earned each day for 2 weeks. The amounts, in dollars, are listed below.

25, 30, 24, 20, 20, 22.5, 75, 27, 27, 22, 22, 27, 22.5, 28

Part A Find the measures of center and variability that best summarize Frank’s data. Explain

• The median and IQR are the best measures since there is an outlier.

• The mean and MAD are the best measures since there are no outliers and the data is clustered together.