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NORMAL DISTRIBUTION — Statistics STD 12 Commerce — Question

Gujarat BoardEnglish MediumSTD 12 CommerceStatisticsNORMAL DISTRIBUTION3 Marks
Question
For a normal distribution, the mode and mean deviation are $32$ and $1.6$ respectively. $(1)$ Obtain an estimate of the value of extreme quartiles. $(2)$ Find $P[31 \leq X \leq 33]$. and $(3)$ Obtain the limit that includes exactly middle $95 \%$ of the observations of the distribution.
✓

Answer

$(1)\ Q_{1}=30.67, Q_{2}=33.33$
$(2)\ 0.3830$
$(3)\ 28.08$ to $35.92$

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