Frequency Algebra Questionnaire

How to write answers EXAMPLE question

1

. A question

2

. D

Display the set of data in a cumulative frequency histogram.

s’ Pets

|

2

|1

|1

2

3

	Student
	Number of Pets			Tally			Frequency
	0-1					|
2-			3
	4-5
6-	7			| |
	8-9		| | |

Question 1 options:

Question 2 (5 points)

The tables show the number of points scored by two basketball teams this season.

	Red Hawks Points Scored
					42		59				50				37		36				43		44		38
					40		56				49		52						46				47		55		31

40494250464537

4042

45434647

	Hurricanes Points Scored
					45
	51		48

Use a graphing calculator to construct a box-and-whisker plot for the Red Hawks’ number of points scored. Describe the shape of the distribution.Question 2 options:The distribution is symmetric.The distribution is negatively skewed.The distribution is positively skewed.The distribution is linear.

Question 3 (5 points)

Find the mean. Round to the nearest tenth if necessary.

29, 22,

16

,

10

, 21, 23, 22, 29Question 3 options:21.5

20

.422.322

Question 4 (5 points)

The table shows the grade that 4 students received on a math test. Find the bar graph that represents the grades.

Student

60

Marks
John	71
Tyler		60
Jack	77
Levi

Question 4 options:

Question 5 (5 points)

Display the set of data in a histogram.

TallyFrequency

3

7

–

Weekly TV Viewing
Time (hrs)
0 – 4
5 – 9					14
10 – 14
			15			19				12

Question 5 options:

Question 6 (5 points)

Use a graphing calculator to construct a histogram for the data, and use it to describe the shape of the distribution.

9, 12, 12, 6, 22, 32, 35, 37, 8, 4, 40, 6, 4, 10, 22, 34, 35, 29

16, 15,

13

,

17

,

18

, 20, 13, 13, 18, 24, 23, 10, 16, 22, 10, 13, 26, 20

Question 6 options:negatively skewed distributionpositively skewed distributionsymmetric distributionlinear skewed distribution

Question 7 (5 points)

Find the median. Round to the nearest tenth if necessary.

49, 13.9, 5.9, 16.6, 43.1,

11

.2, 36.8, 43.7, 22.9, 45.1, 44.2Question 7 options:36.816.622.937.8

Question 8 (5 points)

Describe the center and spread of the data using either the mean and standard deviation or the five-number summary. Justify your choice by constructing a histogram for the data.

9, 1, 29, 10, 5, 39, 29, 4, 24, 8, 3, 33, 13, 32, 23, 32, 39, 10

18, 26, 26, 10, 9, 18, 15, 17, 12, 18, 9, 15, 9, 24, 12, 22, 20, 15

Question 8 options:The distribution is skewed, so use the five-number summary.range: 38, median: 16, half of the data are between 9.5 and 25The distribution is symmetric, so use the mean and standard deviation.mean: 17.7, standard deviation: 100

Question 9 (5 points)

Find the median. Round to the nearest tenth if necessary.35, 24, 32, 24, 17, 33, 39, 23Question 9 options:32242828.5

Question 10 (5 points)

Find the mode of each set of data.

23, 30, 36, 29, 19, 33, 15, 36Question 10 options:29.527.630.536

Question 11 (5 points)

The tables show the number of points scored by two basketball teams this season.Red HawksPoints Scored42595037364344384056495246475531HurricanesPoints Scored45404942504645374042514845434647What conclusion can you draw about the number of points scored by the Red Hawks and the Hurricanes?Question 11 options:The means differ by only about 0.5, but the standard deviations show that the Hurricanes’ number of points is generally closer to the mean.The means differ by only about 0.5, but the standard deviations show that the Red Hawks’ number of points is generally closer to the mean.The means and standard deviations are very close for the Red Hawks and the Hurricanes.No conclusion can be made.

Question 12 (5 points)

Draw a dot plot for the set of data.

0, 3, 1, 3, 1, 2, 1, 5, 2, 0, 1, 2

Question 12 options:

Question 13 (5 points)

Display the set of data in a cumulative frequency histogram.

Number of PetsTallyFrequency

0-1| | |3

| |2

4-5| |2

|1

8-9|1

Students’ Pets

2-3

6-7

Question 13 options:

Question 14 (5 points)

The table shows the prices of electronics at a store. Find the dot plot with a scaled number line that represents the prices in the table.

Sale Prices ($)
$10.43	$36.05	$22.11	$48.92
$43.28	$40.66	$56.39	$27.00
$22.16	$19.45	$69.98	$34.82

Question 14 options:

Question 15 (5 points)

Find the variance. Round to the nearest tenth.

{6, 6, 7, 17, 20, 20} Question 15 options:6.441.212.71.6

Question 16 (5 points)

Find the mean. Round to the nearest tenth if necessary.37.4, 11.7, 35.4, 18.6, 5.7, 48.8, 18.9, 30, 15.1, 26.6, 35.7, 40.2Question 16 options:2826.62725.8

Question 17 (5 points)

Find the range for each set of data.

71, 53, 102, 69, 100, 68, 104, 92, 90, 120, 64, 120, 71, 89, 105, 110Question 17 options:66679189

Question 18 (5 points)

Find the interquartile range.6, 8, 9, 30, 30, 36, 38, 54, 64, 70, 75, 81, 93

Question 18 options:8734.518.553

Question 19 (5 points)

Find the mode of each set of data.59, 48, 88, 24, 31, 76, 68, 88, 77, 18, 88Question 19 options:885960.568

Question 20 (5 points)

Jason’s and Colleen’s quiz scores for the first quarter are shown in the tables below.

13191819171618171416111519201820

Jason’s Quiz Scores

14111314151210111612151213131314

Colleen’s Quiz Scores

Use a graphing calculator to construct a histogram for Jason’s quiz scores. Describe the shape of the distribution.Question 20 options:The distribution is positively skewed.The distribution is negatively skewed.The distribution is symmetric.The distribution is linear.