1. A furniture store reduces the prices of sofas in an autumn sale. The number of sofas sold during the 19 days of the sale were:

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need help with questions number 3
1.
A furniture store reduces the prices of sofas in an autumn sale.
The number of sofas sold during the 19 days of the sale were:
2.
3.
Work out the median and the lower and upper quartiles for the number of sofas sold in
the sale.
The frequency table shows information about the number of children living in each house
on a street.
41, 44, 48, 55, 40, 44, 45, 42, 55, 55, 36, 36, 51, 47, 41, 38, 43, 48, 53
Number of
children
Frequency
Mean daily
temperature, t(°C)
Frequency
a.
b.
a.
b.
C.
d.
0
19
1
16 23 13
Work out the mean, median and modal values of the number of children in each house
in the street.
2 3
The grouped frequency table shows information from the large data set about the mean
daily temperature in Heathrow between May and October 2015.
43
Time, t (minutes) 0<t≤30
Frequency
14
11
8<t≤12 12<t<14 14<t<16 16<t≤18
33
4
41
52
6
Work out the class interval that contains the median of these data.
Calculate an estimate of the overall mean daily temperature between May and
October. Give your answer to 3 significant figures.
4. The table shows the time (t) in minutes that people left their cars in a supermarket car park.
32
5
1
18<t<20 20<t<29
30<t<60 60<t<90 90<t≤120
27
36
Explain why your answer is an estimate.
What is another name for the 75th percentile?
Why is it not possible to estimate the 90th percentile of this data?
120<t
12
15
Use interpolation to estimate the 75th percentile of the time that cars were left
in the car park.
5. The mean maximum daily temperature for the last week in August was 23°C and the mean
for the first ten days in September was 20°C.
What is the overall mean maximum daily temperature for these seventeen days?
Transcribed Image Text:1. A furniture store reduces the prices of sofas in an autumn sale. The number of sofas sold during the 19 days of the sale were: 2. 3. Work out the median and the lower and upper quartiles for the number of sofas sold in the sale. The frequency table shows information about the number of children living in each house on a street. 41, 44, 48, 55, 40, 44, 45, 42, 55, 55, 36, 36, 51, 47, 41, 38, 43, 48, 53 Number of children Frequency Mean daily temperature, t(°C) Frequency a. b. a. b. C. d. 0 19 1 16 23 13 Work out the mean, median and modal values of the number of children in each house in the street. 2 3 The grouped frequency table shows information from the large data set about the mean daily temperature in Heathrow between May and October 2015. 43 Time, t (minutes) 0<t≤30 Frequency 14 11 8<t≤12 12<t<14 14<t<16 16<t≤18 33 4 41 52 6 Work out the class interval that contains the median of these data. Calculate an estimate of the overall mean daily temperature between May and October. Give your answer to 3 significant figures. 4. The table shows the time (t) in minutes that people left their cars in a supermarket car park. 32 5 1 18<t<20 20<t<29 30<t<60 60<t<90 90<t≤120 27 36 Explain why your answer is an estimate. What is another name for the 75th percentile? Why is it not possible to estimate the 90th percentile of this data? 120<t 12 15 Use interpolation to estimate the 75th percentile of the time that cars were left in the car park. 5. The mean maximum daily temperature for the last week in August was 23°C and the mean for the first ten days in September was 20°C. What is the overall mean maximum daily temperature for these seventeen days?
Expert Solution
Step 1

Given:

The frequency distribution is shown below

Mean daily temperature t Frequency
8-12 19
12-14 43
14-16 41
16-18 33
18-20 36
20-29 12

 

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