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In this lesson, we will learn how to find the range of a data set.
Q1:
What is the name of the difference between the greatest and the smallest values of a data set?
Q2:
The number of goals scored by twelve soccer players in a season are 13, 11, 12, 5, 5, 9, 6, 11, 8, 5, 6, and 19. State whether the following statement is true or false: The range of the data is 14 goals.
Q3:
Average temperatures were recorded throughout a week starting from Saturday to Friday. The temperatures were 4 0 ∘ C , 3 0 ∘ C , 3 6 ∘ C , 3 7 ∘ C , 2 6 ∘ C , 3 2 ∘ C , and 2 7 ∘ C , respectively. Find the difference between the highest and lowest temperatures.
Q4:
What is the range of the following numbers: 7, 5, 6, 4, 2, 2?
Q5:
Dina recorded the outside temperature for five nights for a school project. Determine the range of the recorded data: , , , , .
Q6:
Find the range of the following set of data: 6.8, 8.3, 5.7, 5.3, 7.9, 8.4, 4.1, 1.5, 5.5, 5.4, 4.7, 1.2.
Q7:
The graph shows the weights, in kilograms, of emperor penguins at a zoo. Is the range of the weights 24 kilograms?
Q8:
Let the greatest element in a set be 445 and the range of the set be 254. What is the smallest element of this set?
Q9:
The given graph shows the revenue generated by a company’s major products. Determine the range of the monthly revenue generated by product B.
Q10:
The given table shows the average temperatures in Fahrenheit for some cities in January. Find the range for the three cities with the lowest temperatures.
Q11:
Farida works at an ice cream shop, and counts the number of ice creams she sell each hour. In the last 6 hours she sold 10 ice creams, 8 ice creams, 9 ice creams, 9 ice creams, 7 ice creams, and 9 ice creams.
What is the range of the numbers of ice creams sold?
Q12:
Find the range for the following set of data: − 1 8 . 8 5 , − 1 8 . 1 8 , − 1 8 . 9 1 , − 1 0 . 4 6 , − 1 5 . 3 1 , − 1 9 . 6 3 , − 1 6 . 4 5 , − 8 . 2 7 , − 1 7 . 8 1 , − 1 4 . 0 5 .
Q13:
By completing the table, find the range of the scores.
Q14:
Find the value of 𝑥 , given that the range of the values 7 9 5 4 6 2 𝑥 , , , , , , a n d is 8 and 𝑥 > 2 .
Q15:
Dina asked 9 of her friends about the number of friend requests they accept on Facebook each week. The numbers were 3 requests, 5 requests, 1 request, 3 requests, 6 requests, 3 requests, 3 requests, 6 requests, and 5 requests. What is the range of the number of acceptances?
Q16:
Each time he writes a song, a songwriter creates a number of drafts. For the last five songs, he wrote 7 drafts, 8 drafts, 10 drafts, 6 drafts, and 6 drafts. Find the range of the number of drafts he writes.
Q17:
The table shows the amount of money Liam saves each day. Describe how the range would change if the data for Thursday was not included.
Q18:
Bassem has the following data:
16, 17, 16, 17, 𝑚 .
If the range is 6, which number could 𝑚 be?
Q19:
A delivery company delivered to 6 locations. The number of packages delivered to each location was 6, 8, 8, 9, 7, and 7. Find the range of the number of packages delivered.
Q20:
Nabil has the following data: 6, 8, , 8, 8, 9.
If the range is 7, which number could be?
Q21:
The table given represents the heights of 40 students in centimetres. Determine the range of their heights.
Q22:
Fady has the following data: 6, 8, , 8, 8, 9.
If the range is 3, which number could be?
Q23:
The following figure demonstrates the number of glasses of water a group of people consume per day. Describe how the range would change if an additional data value of 1 was added to the data set.
Q24:
Engy is buying new headphones. The range of prices of the headphones she likes is $106. If the most expensive one costs $270, determine the cost of the least expensive one.
Q25:
The table shows the average time taken to do various chores. Determine the range of the data.
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