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Statistics Practice Test 1
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© examsnet.com
Question : 33
Total: 37
The table given below shows the frequency distribution of a discrete variable X with two missing frequencies. If the total frequency is 25 and the arithmetic mean of X is 2, then what is the value of the missing frequency f ?
X
0
1
2
3
4
Frequency
4
f
9
g
4
4
5
6
7
None of these
Validate
Solution:
👈: Video Solution
Arithmetic mean
X
=
4
×
0
+
1
×
f
+
2
×
9
+
3
×
g
+
4
×
4
25
⇒
50
=
34
+
f
+
3
g
⇒
f
+
3
g
−
16
=
0
..... (i)
Also given
4
+
f
+
9
+
g
+
4
=
25
⇒
f
+
g
=
8
...... (ii)
On solving Eqs. (i) and (ii), we get
f
=
g
=
4
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