Worksheet: Range and Mean of Statistical Data

In this worksheet, we will practice determining the range and mean of given statistical data.

Q1:

Find the mean of the values 3 1 0 4 0 2 1 0 1 8 0 2 9 0 , , , , a n d . Give your answer to three decimal places.

Q2:

Given that the mean of the values 4 , π‘₯ , 5 , 8 , and 18 is 10, find the value of π‘₯ .

Q3:

The table shows the marks that four students received in their end of year exams. Calculate the mean mark for mathematics.

Student Mathematics Chemistry Physics Biology History
(A) 12 5 15 14 8
(B) 12 11 14 8 10
(C) 13 10 9 12 7
(D) 11 10 14 6 15

Q4:

The ages of the people at a gathering were 49, 27, 37, 44, 34, 36, 19, 24, 23, 40, 20, 21, and 43. When one more person joined the gathering the mean age became 31. How old was the person who joined?

Q5:

Given the values 68, 11, 59, and 92, determine the range of this data.

Q6:

The table shows the average temperature of each day in November. What is the range of the data?

27℃ 28℃ 24℃ 25℃ 24℃ 25℃ 23℃ 26℃ 20℃ 23℃
24℃ 20℃ 27℃ 26℃ 19℃ 22℃ 26℃ 23℃ 26℃ 25℃
24℃ 27℃ 24℃ 26℃ 27℃ 27℃ 23℃ 24℃ 22℃ 24℃

Q7:

Given that the values of a set of data are between 2 and 81, find the range of the data.

Q8:

Given the range of a set of data is 86 and the lowest value is 53, determine the highest value in the set.

Q9:

If the maximum value in a set is 70 and the range of the set of data is 46, then find the minimum value in the set.

Q10:

Given that the sum of five values is 165, find the mean of the values.

Q11:

The frequency table shows the distribution of marks that 50 students attained in an exam. Find the mean mark.

Mark 10– 20– 30– 40– 50– Total
Frequency 9 8 11 13 9 50

Q12:

The frequency table shows the distribution of daily wages of 50 workers in a factory. Find the mean wage received.

Wages 25–34 35–44 45–54 55–64 65– Total
Frequency 7 9 15 10 9 50

Q13:

Amira’s average score in a game is 196 for 20 rounds. If she dropped her lowest score of 135, determine which of the following equations can be used to find her new average score 𝑛 .

  • A 𝑛 = ( 1 3 5 Γ— 2 0 ) βˆ’ 1 9 6 1 9
  • B 𝑛 = ( 2 0 Γ— 1 9 6 ) βˆ’ 1 3 5 2 0
  • C 𝑛 = ( 1 3 5 Γ— 2 0 ) βˆ’ 1 9 6 2 0
  • D 𝑛 = ( 2 0 Γ— 1 9 6 ) βˆ’ 1 3 5 1 9
  • E 𝑛 = ( 1 9 6 βˆ’ 1 3 5 ) Γ— 2 0 1 9

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