Unit 9 Name: Date: Integrated Math 4G: HMWK

Unit 9: Statistics – Days 1-4 Homework

Day 1 Homework – Measures of Central Tendency and Standard Deviation Green Notes (#1-4) Find the measures of central tendency and the standard deviation of the following data sets. Round the final answers for �̅� and 𝜎 to the nearest tenth. 1) {1, 2, 3, 4, 5, 6, 7, 8, 9} 2) {7, 5, 7, 6, 2, 4} 3) {4, 7, 4, 5, 4, 8, 4, 8, 4, 4, 8, 4, 6, 8, 2} 4) {5, 9, 1, 2, 7, 3, 1, 8, 8, 1, 3} Set up your answers like this: Mean: �̅� =______ Median: ______ Mode: ______ SD: 𝜎 =______ Day 2 Homework – Z-Score Yellow Notes (#1-2) Find the following items for each data set. 1) {13, 2, 15, 9, 15, 18, 12} Mean, Median, Mode, SD, 𝑍9, 𝑍12, 𝑍15, 𝑍18 Also, in words interpret 𝑍12 and 𝑍18 2) {7, 12, 3, 14, 17, 20, 5, 3, 17, 2} Mean, Median, Mode, SD, 𝑍5, 𝑍12, 𝑍14, 𝑍17, 𝑍20

Unit 9 Day 3 Homework – Range, Interquartile Range, and Outliers Pink Notes (#1-2) Find the measures of central tendency for each of the following data sets. Also, find the range and IQR. Answer the question about outliers – there is not necessarily a right or wrong answer for that, just be sure to justify your answer. 1) {6283, 5700, 6381, 6274, 5700, 5896, 5972, 6075, 5993, 5581} Would you consider any of these data values outliers? Justify your answer. 2) {7, 12, 3, 14, 17, 20, 5, 3, 17, 4, 13, 2, 15, 9, 15, 18, 6, 9, 1, 16} Would you consider any of these data values outliers? Justify your answer. Set up your answers like this: Mean: �̅� =______ Median: ______ Mode: ______ Range: ______ IQR: ______ (#3) Answer the following question. 3) Create two data sets: one with an outlier that is larger than the rest of the data and one with an

outlier smaller than the rest of the data. Day 4 Homework – Box and Whisker Plots Blue Notes (#1-4) Make a box and whisker plot for the following data sets. Be sure to plot and label 𝑄1, 𝑄2, and 𝑄3. Also label your number line. 1) {4, 5, 7, 9, 10, 13} 2) {12, 10, 27, 14, 21, 15, 18} 3) {12, 11, 15, 12, 19, 20, 19} 4) {120, 145, 133, 105, 117, 150} (#6-9) Give two examples of qualitative data and two examples of quantitative data. 6) qualitative 7) qualitative 8) quantitative 9) quantitative

Unit 9 – Day 1 Name: Date: Integrated Math 4G: HMWK Statistics – Measures of Central Tendency and Standard Deviation (#1-4) Find the measures of central tendency and the standard deviation of the following data sets. Round the final answers for �̅� and 𝜎 to the nearest tenth.

1) {1, 2, 3, 4, 5, 6, 7, 8, 9}

Mean: �̅� =

Median:

Mode:

Standard Deviation: 𝜎 =

2) {7, 5, 7, 6, 2, 4}

Mean: �̅� =

Median:

Mode:

Standard Deviation: 𝜎 =

Unit 9 – Day 1 3) {4, 7, 4, 5, 4, 8, 4, 8, 4, 4, 8, 4, 6, 8, 2}

Mean:

Median:

Mode:

Standard Deviation:

4) {5, 9, 1, 2, 7, 3, 1, 8, 8, 1, 3}

Mean:

Median:

Mode:

Standard Deviation:

Unit 9 – Day 2 Name: Date: Integrated Math 4G: HMWK Statistics – Z-Score (#1-2) Find the following items for each data set. 1) {13, 2, 15, 9, 15, 18, 12} Mean: Median: Mode: SD: 𝑍9 : 𝑍12 : 𝑍15 : 𝑍18 : In words, interpret 𝑍12: In words, interpret 𝑍18:

Unit 9 – Day 2 2) {7, 12, 3, 14, 17, 20, 5, 3, 17, 2} Mean: Median: Mode: SD: 𝑍5 : 𝑍12 : 𝑍14 : 𝑍17: 𝑍20:

Unit 9 – Day 3 Name: Date: Integrated Math 4G: HMWK

Statistics – Range, Interquartile Range, and Outliers (#1) Find the measures of central tendency for each of the following data sets. Also, find the range and IQR. Answer the question about outliers – there is not necessarily a right or wrong answer for that, just be sure to justify your answer. 1) {6283, 5700, 6381, 6274, 5700, 5896, 5972, 6075, 5993, 5581} Mean: __________ Median: __________ Mode: __________

Range: __________ IQR: __________

Would you consider any of these data values outliers? Justify your answer.

Unit 9 – Day 3 (#2) Find the measures of central tendency for each of the following data sets. Also, find the range and IQR. Answer the question about outliers – there is not necessarily a right or wrong answer for that, just be sure to justify your answer. 2) {7, 12, 3, 14, 17, 20, 5, 3, 17, 4, 13, 2, 15, 9, 15, 18, 6, 9, 1, 16} Mean: __________ Median: __________ Mode: __________

Range: __________ IQR: __________

Would you consider any of these data values outliers? Justify your answer. (#3) Answer the following question.

3) Create two data sets: one with an outlier that is larger than the rest of the data and one with an outlier smaller than the rest of the data.

Unit 9 – Day 4 Name: Date: Integrated Math 4G: HMWK Statistics – Box and Whisker Plots (#1-4) Make a box and whisker plot for the following data sets. Be sure to plot and label 𝑄1, 𝑄2, and 𝑄3. Also label your number line. 1) {4, 5, 7, 9, 10, 13}

2) {12, 10, 27, 14, 21, 15, 18}

Unit 9 – Day 4 3) {12, 11, 15, 12, 19, 20, 19}

4) {120, 145, 133, 105, 117, 150}

(#6-9) Give two examples of qualitative data and two examples of quantitative data. 6) qualitative: 7) qualitative: 8) quantitative: 9) quantitative: