Assignment: 2 (Total Marks: 20) Q.1 Calculate the mean, the median and the mode for the distribution of weights of 150 students from the data given below and interpret the results: Weight (in KG) 30-40 No. of Students 18 40-50 37 50-60 45 60-70 27 70-80 15 80-90 8 Q.2 On the basis of following measures of central tendency, indicate whether or not there is evidence of skew and if so, indicate the directions: 4 i. Mean= 56 Median-62 Mode=68 ii. Mean= 68 Median=62 Mode=56 iii. Mean= 62 Median=62 Mode=62 Q.3 Calculate standard deviation and variance for the following age distribution of 80 people and interpret the results: No. of people Age 44-46 46-48 3. 24 48-50 27 50-52 21 52-54 5 Q. 4. a. What do you understand by standard normal distribution? Draw a normal curve locate the area under the curve and discuss the characteristics of it. 4x2= 8 b. b. With a mean of 50 and with a standard deviation of 15; what proportion of the scores in the distribution will fall above the score of 67?

Q: QUESTION •√√16=7³" to 10 Evaluate dz.

A: Given :∫4-x16-x2dx

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A:

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A:

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A: Solution

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A: I'm the triangle, RUT, Q is the midpoint of RU &, S is the midpoint of RT

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A: As we know that the Pythagoras theorem : H2=B2+P2

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A: We need to find the length RS of the triangle.

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A: Total net worth = total amount she has - amount she owes

Q: R =  C − S t ; S

A: R=C-St

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A:

Q: LOWEST SCORE FOR  b c d

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A: Given: 2.8+c=13

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A: Convert number to words

Q: 8 E С 105⁰ 64° 4 В

A: Let's find angle.

Q: S. 73 R.

A:

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A: Now dot product is,

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A:

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A:

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A: The given equation is, 154=21a. Obtain the value of a. 154=21aa=21×415a=7×45a=285

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Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.