Search & Filtering
A transportation company plans to buy tires in volume. They are choosing between two brands of tires, A and B. In order to come up with a wise decision, a survey was conducted between these two brands of tires.
$$\begin{matrix} & \text{BRAND A} & \text{BRAND B}\\ \text{average mileage} & 40,000\ km & 38,000\ km\\ \text{standard deviation} & 4,500\ km & 3,900\ km \end{matrix} $$
Is Brand A better than Brand B; using a 0.05 level?
Waiting time_(0;3) Number of patients_210
WT_(3;6) NOP_130
WT_(6;9)NOP_75
WT_(9;12)NOP_40
WT_(12;15)NOP_20
WT_(15;18)NOP_15
WT_(18;21)NOP_10
a.calculate the arithmetic mean
b.calculate the variance
c.calculate the coefficient of variation
d.calculate the median
e.calculate the mode
f.calculate the third quartile
h.calculate the fortieth percentile
a standard deck of cards contains 52 cards. One card is selected from the deck.
(a)
Compute the probability of randomly selecting a seven or three.
(b)
Compute the probability of randomly selecting a seven or three or jack.
(c)
Compute the probability of randomly selecting a nine or diamond
Q5: Bar Chart
The number of bed-sheets manufactured by a factory during five consecutive weeks is given below.
Week First Second Third Fourth Fifth
Number of Bed-sheets 600 850 700 300 900
Draw the bar graph representing the above data.
Q6: Bar Chart
The number of absentees in class VIII was recorded in a particular week. Represent this data on the bar graph
Days Mon. Tues. Wed. Thurs. Fri. Sat.
Number of Absentees 130 120 135 130 150 80
a. On which day the maximum and minimum students were absent?
b. How many students were absent on Wednesday and Friday?
Q7: Pie Chart
The following table shows the mode of transport used by 400 students of a school. Represent the following information on the pie chart. (Show the steps of construction of pie graph for the given data along with the calculation)
Mode of Transport Bus Bicycle On foot By car
No. of Students 200 100 80 20
Q2: Group Frequency
The length, in mm, of 48 rubber tree leaves are given below:
137 152 127 147 141 157 132 153 166 147 136 134
146 142 162 169 149 135 166 157 141 146 147 148
163 133 148 150 136 127 162 152 143 138 142 153
145 154 144 126 139 126 158 147 136 144 159 161
Create a group frequency table for this data using sturge’s rule as a guide to find the number of intervals
Q3: Group Frequency
A Statistics test is marked out of 60. Here are the marks for the 65 students:
26 11 21 35 44 23 37 26 11 21 35 44 23
37 26 11 21 35 44 23 37 16 42 11 47 59
45 16 13 18 16 42 11 47 59 45 16 13 18
16 42 11 47 59 45 16 13 18 19 25 15 32
54 8 38 42 53 19 25 15 32 54 8 38 42
a. Construct a grouped frequency table for the data using the 2 to k rule as guide to find the number of intervals.
b. What percentages of the class scored above 40 marks?
Q4: Simple Frequency and Bar Chart
James asked his friends their favourite colours. They mention
Green Blue Red Green Blue Blue Green
Red Blue White Blue Green Red Green
Blue Red Blue Green Red Green
a. Construct a frequency table for the favourite colour data
b. Represent the information on a bar chart
Q1: Simple Frequency
The following data shows the survey results of the number of children in families.
3 4 5 3 4 2 4 5 4 3 5 5
1 4 1 2 5 3 4 3 5 4 4 3
Create a frequency table for this data.
Question 7 to 10 solve it in your answer sheet and scan it and upload as pdf. Students cannot type or send answer separately. Students can scan and upload only as pdf or word Document
7) In balance diet pie-chart what is the Total angle drawn for Fruits and vegetables, Protein and
Fibre-rich carbohydrates?
8) In above survey How many people eat fast food daily?
9 ) If 900 people were surveyed, How many people never eat fast food in out – lets?
10) If 900 people were surveyed, How many people eat fast food two times in a week?
Find all the possible samples of size 2 which can be drawn with replacement from this population
A. Find the mean of the sampling distribution of means
B. Find the variance of the sampling distribution of means
C. Find the standard deviation of the sampling distribution of means
The average cholesterol content of a certain can goods is 215 milligrams and the cholesterol deviation is 15 milligrams.assume the variable is normally distributed
A principal at a certain school claims that the students in his school are above average intelligence. A random sample of thirty students IQ scores have a mean score of 112. Is there sufficient evidence to support the principal’s claim? The mean population IQ is 100 with a standard deviation of 15.
