Question

15. The marks scored by some students for a question in the Science test are shown in the table below
Marks 0 1 23 4 5
Number of students 3 2 3 5 x 1
(a) If the mode is 4 write down the smallest possible value of x
(b) if the mean a 9/4 find the value of x

(A) a- 6. b- 2
(B) a- 5. b- 2
(C) a- 6. b- 4
(D) a- 6. b- 3
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Answer 1

Step-by-step explanation:

are shown in the table below

Marks 0 1 23 4 5

Number of students 3 2 3 5 x 1

(a) If the mode is 4 write down the smallest possible value of x

(b) if the mean a 9/4 find the value of x

(A) a- 6. b- 2

(B) a- 5. b- 2

Answer 2

Answer:

Option A

Step-by-step explanation:

A. The mode is the data point that occurs with most frequency in a given set of data

Already 3 occurs 5 times and has the highest frequency yet. Hence for 4 to be the mode of the data, it should occur at least 6 times. Hence, for 4 to be the mode, the value of x must be 6.

B. $Mean=\frac{(0)(3) + (1)(2)+(3)(5)+(4)(x)+5(1)}{3+2+3+5+1+x} \\\\\frac{9}{4} =\frac{28+4x}{14+x} \\\\9(14+x)= 4(28+4x)\\\\126+9x=112+16x\\\\7x=14\\\\x=2$