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Statistics question

2025 · Shift 1 · Q30
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Statistics question

2025 · Shift 1 · Q30

JEE AdvancedMathematicsStatisticsMCQ+4 / −1

Consider the following frequency distribution:

Value458961211
Frequency5f1f_1f1​f2f_2f2​2113

Suppose that the sum of the frequencies is 19 and the median of this frequency distribution is 6.

For the given frequency distribution, let α\alphaα denote the mean deviation about the mean, β\betaβ denote the mean deviation about the median, and σ2\sigma^2σ2 denote the variance.

Match each entry in List-I to the correct entry in List-II and choose the correct option.

List – I List – II
(P) 7 f1 + 9 f2 is equal to (1) 146
(Q) 19 α is equal to (2) 47
(R) 19 β is equal to (3) 48
(S) 19 σ2 is equal to (4) 145
(5) 55
  1. A
    (P) → (5) (Q) → (3) (R) → (2) (S) → (4)
  2. B
    (P) → (5) (Q) → (2) (R) → (3) (S) → (1)
  3. C
    (P) → (5) (Q) → (3) (R) → (2) (S) → (1)
  4. D
    (P) → (3) (Q) → (2) (R) → (5) (S) → (4)
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