Understanding Frequency Tables and Bar Charts

Given the following data set: [5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8], create a frequency table.

• | Value | Frequency | |-------|-----------| | 5 | 2 | | 6 | 3 | | 7 | 2 | | 8 | 4 |

• | Value | Frequency | |-------|-----------| | 5 | 1 | | 6 | 3 | | 7 | 2 | | 8 | 4 |

• | Value | Frequency | |-------|-----------| | 5 | 2 | | 6 | 2 | | 7 | 3 | | 8 | 4 |

• | Value | Frequency | |-------|-----------| | 5 | 2 | | 6 | 3 | | 7 | 3 | | 8 | 3 |

Which bar chart correctly represents the frequency table below? | Value | Frequency | |-------|-----------| | 2 | 5 | | 3 | 3 | | 4 | 6 | | 5 | 2 |

• A bar chart with bars of heights 5, 3, 6, 2 respectively.

• A bar chart with bars of heights 2, 6, 3, 5 respectively.

• A bar chart with bars of heights 6, 5, 3, 2 respectively.

• A bar chart with bars of heights 3, 5, 2, 6 respectively.

Tags

CCSS.2.MD.D.10

Analyze the data distribution: [10, 12, 12, 14, 14, 14, 16, 16, 18]. What is the mode of the data set?

• 10

• 12

• 14

• 16

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Given two data sets: [2, 3, 3, 4, 4, 4, 5, 5, 5, 5] and [1, 2, 2, 3, 3, 3, 4, 4, 4, 4], which data set has a higher mode?

• Data set 1

• Data set 2

• Both have the same mode

• Cannot be determined

Tags

CCSS.HSS.ID.A.3

What can be inferred if a bar chart shows a skewed distribution to the right?

• The mean is greater than the median.

• The mean is less than the median.

• The mean is equal to the median.

• The mode is greater than the median.

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

Which of the following is NOT a characteristic of a frequency table?

• It shows the frequency of each value in a data set.

• It can be used to create bar charts.

• It shows the cumulative frequency of values.

• It helps in identifying the mode of the data set.

Given the frequency table below, what is the total number of observations? | Value | Frequency | |-------|-----------| | 1 | 4 | | 2 | 5 | | 3 | 6 | | 4 | 3 |

• 15

• 16

• 17

• 18

Tags

CCSS.6.SP.B.5A

Which of the following bar charts represents a bimodal distribution?

• A bar chart with two peaks of equal height.

• A bar chart with one peak.

• A bar chart with three peaks.

• A bar chart with no peaks.

If a bar chart shows a normal distribution, what shape does it have?

• Bell-shaped

• Uniform

• Skewed to the left

• Skewed to the right

Compare the data sets: [1, 2, 2, 3, 3, 3, 4, 4, 4, 4] and [2, 3, 3, 4, 4, 4, 5, 5, 5, 5]. Which data set has a higher median?

• Data set 1

• Data set 2

• Both have the same median

• Cannot be determined

Tags

CCSS.HSS.ID.A.3