Statistics Test

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Statistics Test - 2

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Weekly Quiz Competition

Question 1
1 / -0

What is the mode of the following data of the blood pressure levels of patients (mg/dL) in a month?

105, 90, 117, 218, 250, 293, 350, 120, 258, 120, 255, 210, 196, 185, 175, 177, 177, 123, 158, 125, 105, 70, 75, 83, 135, 120

A
105

B
120

C
123

D
135

Solution

Arrange the data in ascending order,
70, 75, 83, 90, 105, 105, 117, 120, 120, 120, 123, 125, 135, 158, 175, 177, 177, 185, 196, 210, 218, 250, 255, 258, 293, 350

Since 120 comes three times.
So, the mode = 120.
Question 2
1 / -0

The following table shows the weights (in lbs, rounded off to the nearest integral value) of newborns in a city hospital on the 4^th of July.

3 6 6 7 7

7 8 8 8 8

9 9 9 10 10

The outlier measurement of 3 lbs is that of a premature delivery and should be ignored for all statistical studies. Of the mean, median, and range of the values listed, which will change the least if the 3 lbs measurement is removed from the data?

A
Mean

B
Median

C
Range

D
All change by the same value.

Solution

Initial Range = 10 - 3 = 7
New Range = 10 - 6 = 4

Initial Mean = 115/15 = 7.67
Final Mean = 112/14 = 8

Initial Median = 8
Final Median = 8

It is to be noted that median of the data set before and after the said conditions are implemented is 8. However, both the mean and the range is changed for sure. Thus, the median changes the least.
Question 3
1 / -0

A book store has a total stock of 25 books of grades 4, 5, 6 and 7. The table below shows the number of books of each grade. Find the number of books of grade 4.

Grade 4 5 6 7

Frequency ? 6 9 6

A
3

B
4

C
5

D
6

Solution

Total number of books = 25
Sum total of books of grades 5, 6 and 7 = 6 + 9 + 6 = 21
Number of books of grade 4 = 25 - 21 = 4
Question 4
1 / -0

The average age of 8 persons in a committee is increased by 2 years, when two men aged 35 years and 45 years are substituted by two women. Find the average age of these two women.

A
48 years

B
50 years

C
56 years

D
60 years

Solution

Increase in total age due to substitution is 8 × 2 = 16 years
Total age deducted = 45 + 35 = 80 years

Total age added = 80 + 16 = 96 years
Average age of these two women = 96/2 = 48 years
Question 5
1 / -0

The average temperature of Tuesday, Wednesday and Thursday was 42°C. The average temperature of Wednesday, Thursday and Friday was 47°C. If the temperature on Tuesday was 43°C, then the temperature on Friday was

A
58°C

B
50°C

C
53°C

D
49°C

Solution

W + Th + F = 47 × 3 = 141 --- (1)
T + W + Th = 42 × 3 = 126 --- (2)

(1) - (2)
F - T = 15°

F = 15 + 43 = 58°C (Given T = 43°)
Temperature on Friday = 58°C
Question 6
1 / -0

The average height of 30 boys out of a class of 50 is 160 cm. If the average height of the remaining boys is 165 cm, the average height of the whole class (in cm) is

A
161

B
162

C
163

D
164

Solution

Sum of heights of 30 boys = 30 × 160 cm = 4800 cm

Sum of heights of the remaining boys = 165 cm × 20 = 3300 cm

Average height of the whole class = [(4800 + 3300)/50] cm = 162 cm

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Re-Attempt Weekly Quiz Competition

Grade	4	5	6	7
Frequency	?	6	9	6

Statistics Test - 2

Result

Statistics Test - 2

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Rank

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SHARING IS CARING

Question 1

105

120

123

135

Solution

Question 2

Mean

Median

Range

All change by the same value.

Solution

Question 3

3

4

5

6

Solution

Question 4

48 years

50 years

56 years

60 years

Solution

Question 5

58°C

50°C

53°C

49°C

Solution

Question 6

161

162

163

164

Solution

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