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Numeracy Foundation November 2018 Unit 1 Q6

WJECFoundationCurrent spec7 marksAverages (including IQR)Forming Equations

6.

(a)

Rob has carried out a survey.
He asked 25 students how many times they visited the library last month.
His results are shown below.

Tally chart. Number of library visits 0, 1, 2, 3, 4, 5. Tally: 0 none; 1 six (five-bar gate and one); 2 seven (five-bar gate and two); 3 four; 4 eight (five-bar gate and three); 5 none

Using Rob’s results, answer the following questions.

(i)

What is the range?
Circle your answer. [1]

0  1  2  3  4  5

(ii)

What is the median?
Circle your answer. [1]

0  1  2  3  4  5

(b)

Rob puts some books and a weight on a set of balance scales.
All the books are identical.

Balanced scales: 7 books on the left; 2 books and a 1750 g weight on the right

What is the mass of one book? [2]

(c)

Rob balances some identical dictionaries.
10 dictionaries are on one side.
2 dictionaries and a 3200 g weight are on the other side.

Let the mass of one dictionary be \(x\) grams.

(i)

Use the information above to write an equation in terms of \(x\). [1]

(ii)

Find the total mass of all 12 dictionaries. [2]

The total mass of all 12 dictionaries is ................ g

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