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STATISTICS PROBLEM SOLVING 1

Total questions: 20

Worksheet time: 40mins

Name
Class
Date
1.

What is the sample size given that the confidence level of 95 (giving a margin of error of 0.05) and the population size is 800?

a)

266

b)

267

c)

268

d)

265

2.

A PE instructor examined a random sample of 12 students of a certain section to determine the average height of the students. The following was recorded in cm 160, 158, 161, 148, 153, 156, 158, 152, 165, 155, 164, 150. Compute the sample mean.

a)

156.67

b)

156.33

c)

155.67

d)

155.33

3.

The number of students at six different sections are 40, 45, 42, 41, 42, and 43. Find the mean number of students for the section.

a)

41.1667

b)

42.1337

c)

42.1667

d)

41.3333

4.

4. Given the weight of the some students these are 55, 60, 45, 58, 48, 51, 53, 47 and 57. Find the median of the given data.

a)

48

b)

55

c)

51

d)

53

5.

On the first semester, a grade 12 student has made a grades of 90, 85, 87, 90, 88, 87, 91, 86, 83. Find the mode for this sample grades.

a)

90, 87

b)

90, 88

c)

87, 86

d)

90, 86

6.

A group of students take an exam in statistics using Quiziz. They made grades of 43, 45, 48, 44, 41, 38, 46, 39, and 49. What is the range for this sample grades.

a)

13

b)

14

c)

11

d)

10

7.

A comparison of the jelly ace price at four random stores in San Pascual showed increases from the previous month. Given the price of 30, 29, 33 and 31 pesos for a pack. Find the variance of this random sample of price increase.

a)

2.6719

b)

2.9167

c)

2.1667

d)

2.1967

8.

A comparison of the jelly ace price at four random stores in San Pascual showed increases from the previous month. Given the price of 42, 46, 43 and 45 pesos for a pack. Find the standard deviation of this random sample of price increase.

a)

1.8253

b)

1.8259

c)

1.8255

d)

1.8257

9.

A comparison of the sprite price at four random stores in San Pascual showed increases from the previous month. Given the price of 65, 63, 65 and 62 pesos for a pack. Find the variance of this population.

a)

1.299

b)

1.311

c)

1.300

d)

1.289

10.

A comparison of the coke price at four random stores in San Pascual showed increases from the previous month. Given the price of 53, 55, 56 and 54 pesos for a pack. Find the standard deviation of this population.

a)

1.31

b)

1.28

c)

1.30

d)

1.29

11.

A group of students conducted a research in which they want to find the skewness of their sample data. Given the summation of (x- x̄)3 of 23.9310, SD of 2.1961 and n= 10. Find the Skewness.

a)

0.2615

b)

0.2515

c)

0.2511

d)

0.2611

12.

A group of students conducted a feasibility study in which they want to find the skewness of their population data. Given the summation of (x- x̄)3 of 25.5678, SD of 1.8951 and N= 10. Find the Skewness.

a)

0.3757

b)

0.3857

c)

0.3957

d)

0.3759

13.

A group of students conducted a research in which they want to find the kurtosis of their sample data. Given the summation of (x- x̄)4 of 43.9310, SD of 2.1961 and n= 10. Find the Kurtosis.

a)

0.1999

b)

0.1920

c)

0.2199

d)

0.2099

14.

A group of students conducted a feasibility study in which they want to find the kurtosis of their population data. Given the summation of (x- x̄)4 of 45.5678, SD of 1.8951 and N= 10. Find the Kurtosis.

a)

0.3523

b)

0.3543

c)

0.3533

d)

0.3553

15.

A Mapeh instructor examined a random sample of 16 students of a certain section to determine the average height of the students. The following was recorded in cm 160, 158, 161, 148, 153, 156, 158, 152, 165, 155, 164, 150, 170, 156, 163, 167. Compute the sample mean.

a)

159

b)

158.5

c)

159.5

d)

158

16.

The number of future engineers at ten different sections are 40, 45, 42, 41, 42, 41, 44, 42, 41, and 43. Find the mean number of students for the section.

a)

42.1

b)

42

c)

42.2

d)

42.3

17.

Given the weight of the some employees these are 55, 60, 45, 58, 48, 51, 53, 47, 61, 63, 55, 59, 49 and 57. Find the median of the given data.

a)

57

b)

56

c)

55

d)

58

18.

On the second semester, a grade 10 student has made a grades of 90, 85, 87, 90, 88, 87, 91, 86, 83, 85, 91, 93, 88, 87, 81, 82. Find the mode for this sample grades.

a)

90

b)

88

c)

87

d)

85

19.

Given the temperature of the some students these are 37, 36.1, 35.9, 37.2, 36.5, 35.8, 36.6, 36.2, 35.9, 37, 36.3 and 36.4. Find the median of the given data.

a)

36.35

b)

36.45

c)

35.55

d)

35.35

20.

A group of students take an exam in statistics using Quiziz. They made grades of 99, 91, 88, 79, 81, 85, 86, 80, 95, 78, 83, 93, and 82. What is the range for this sample grades.

a)

23

b)

20

c)

22

d)

21