Lesson 2.52.5 Small Group · Group 1
Group 1 · Set BSecond form · new problems, same idea
Learning target With my small group, I can find the range and the interquartile range of a data set and use them to describe how spread out the data is — one step at a time, with support.
Remember2.5 Small Group · Group 1
The range is greatest − least and covers all the data. The IQR is Q3 − Q1 and covers only the middle half. The range and the interquartile range (IQR) are two numbers that tell how spread out data is.
Words: Range and Interquartile Range (Rango y rango intercuartílico)Range (Rango)Quartile (Cuartil)Interquartile range (Rango intercuartílico)Variability (Variabilidad)
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1Complete each step, then write the final answer.
A box plot shows: least 40, Q1 45, median 50, Q3 56, greatest 70. What is the IQR?
Show your workHint Subtract Q1 from Q3: 56 − 45.
Final answer: -
2Complete each step, then write the final answer.
A box plot shows: least 10, Q1 16, median 21, Q3 27, greatest 35. What is the IQR?
Show your workHint Subtract Q1 from Q3.
Final answer: -
3Complete each step, then write the final answer.
The high temperatures for 9 days were 58, 61, 62, 65, 66, 68, 70, 71 and 77 °F. What is the range?
Show your workHint The range uses only the least and greatest values.
Final answer: -
4Complete each step, then write the final answer.
Data: 3, 5, 6, 8, 9, 10, 40. Find the range and the IQR. How much greater is the range than the IQR?
Show your workHint The median is 8. Find Q1 and Q3 from each half. Then compare.
Final answer:
Explain your thinkingClass C has a range of 37 and an IQR of 14. What does each number tell you about the scores?
Sentence starter The range is ___, so all the scores ___. · The IQR is ___, so the middle half of the scores ___.