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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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