Questions refer to the (incomplete) grouped frequency distribution below which depicts the mass (in kilograms) of 25 kittens and cats at a veterinarian. \begin{tabular}{|l|l|l|l|l|} \hline Mass (kg) & Number of cats (f) & \begin{tabular}{c} Midpoint \\ \( (\mathrm{m}) \) \end{tabular} & \( \mathrm{Fm} \) & \( \mathrm{fm}^{2} \) \\ \hline \( 0<2 \) & 3 & 1 & 3 & 3 \\ \hline \( 2<4 \) & 6 & 3 & 18 & 54 \\ \hline \( 4<6 \) & 10 & 5 & 50 & 250 \\ \hline \( 6<8 \) & 4 & 7 & 28 & 196 \\ \hline \( 8<10 \) & 2 & 9 & 18 & 162 \\ \hline S & 25 & - & \( A \) & \( B \) \\ \hline \end{tabular} QUESTION 12 The mode (in \( \mathrm{kg} \) ) is: A. 5.20 ?. 4.55 c 4.20 a. 4.80 QUESTION 13 The variance (in \( \mathrm{kg}^{2} \) ) is closest to: A. 3.04 B. 2.21 c 4.89 b. 5.27
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### Question 12: Finding the Mode ** Show more…
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Problem 1: Weights X of female cats of a certain breed are normally distributed with mean μ = 4.1 kg and a standard deviation of σ = 0.6 kg. (a) What proportion of female cats have weights between 3.7 and 4.4 kg? (b) A certain female cat has a weight that is 0.5 standard deviation (0.5σ) above the mean. What proportion of female cats are heavier than this one? (c) Find the 80th percentile of the female cats weights and interpret it. (d) What is the likelihood that a randomly chosen female cat weights more than 4.5 kg? (e) Six female cats are chosen at random. Their weights are independent from one another. Let Y be the number out of those 6 whose weight is more than 4.5 kg. (i) What is the distribution of X? Give its expression. (ii) Find the probability that exactly two have a weight more than 4.5 kg.
Sri K.
Weights of female cats of a certain breed are normally distributed with mean μ = 4.0 kg and standard deviation σ = 0.6 kg. (a) What is the proportion of female cats have weights between 3.8 kg and 4.4 kg? (b) A certain cat has a weight that is 0.7 standard deviation (i.e. 0.5σ) above the mean μ. What is the proportion of female cats that is heavier than this one? (c) How heavy is the female cat whose weight is on the 90th percentile? (d) A female cat is selected at random. What is the probability that she weighs more that 4.5 kg?
Supreeta N.
Find the standard deviation for the grouped data below: Interval Frequency 5001 - 10,000 13 10,001 - 15,000 15 15,001 - 20,000 13 20,001 - 25,000 12 25,001 - 30,000 26 Mean: 7428.7 Standard Deviation: 8245.9 Mode: 8023.0 Median: 7800.1
Adi S.
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